Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Fractal Surfaces Review

Fractal Surfaces
Average Reviews:

(More customer reviews)
Are you looking to buy Fractal Surfaces? Here is the right place to find the great deals. we can offer discounts of up to 90% on Fractal Surfaces. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Fractal Surfaces ReviewThe book was in very good condition, as stated by the vendor. It arrived promptly, and the vendor was also very helpful in seeking the companion diskette that comes with the book. This vendor earned my trust.Fractal Surfaces OverviewThe author integrates discussions of fractal geometry, surfacemodeling techniques, and applications to real world problems toprovide a comprehensive, accessible overview of the field. His workwill equip researchers with the basic tools for measurement andinterpretation of data, stimulating more work on these problems and,perhaps, leading to an understanding of the reasons that Nature hasadopted this geometry to shape much of our world.

Want to learn more information about Fractal Surfaces?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Proof and Other Dilemmas: Mathematics and Philosophy (Spectrum) Review

Proof and Other Dilemmas: Mathematics and Philosophy (Spectrum)
Average Reviews:

(More customer reviews)
Are you looking to buy Proof and Other Dilemmas: Mathematics and Philosophy (Spectrum)? Here is the right place to find the great deals. we can offer discounts of up to 90% on Proof and Other Dilemmas: Mathematics and Philosophy (Spectrum). Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Proof and Other Dilemmas: Mathematics and Philosophy (Spectrum) ReviewThe following is quoted from a review by John Corcoran to appear in Mathematical Reviews.
This volume is in the Mathematical Association of America's Spectrum Series, which is intended to "appeal to a broad range of readers, including students and teachers of mathematics, mathematical amateurs, and researchers". Its sixteen chapters are individual essays each written by a different author. The authors are said to be "leading mathematicians, mathematics educators, and philosophers of mathematics". It also includes a 20-page introduction by one of the editors. The seventeen essays are intended to be "a sampler of current topics in philosophy of mathematics"; the essays by philosophers are said to "provide a much gentler introduction to what philosophers have been discussing over the last 30 years than will be found in a typical book". This should not be taken to mean that these essays give a summary or overview of the last 30 years of philosophy of mathematics. The book also includes a glossary of the "more common philosophical terms (such as epistemology, ontology, etc.)". The content of the book fully justifies the subtitle "Mathematics and Philosophy"; but nothing seems to explain the implication in the main title "Proof and other Dilemmas" that proof is a dilemma, nor is there anything to indicate which "other dilemmas" are intended.
Unfortunately, there are no indexes. There is no easy way to see how the terms in the glossary are actually used in the book or to compare different authors on the same issue or topic. For example, an index would reveal that the realist philosophy of mathematics called "platonism" is widely accepted--both as "the default position among philosophers" (pages xv and 179) and as the view "still dominant among working mathematicians" (page 40); but an index would also reveal that platonism is widely rejected--by leading mathematicians Paul Cohen and Saunders Mac Lane, and also by "most of the famous mathematicians who have expressed themselves on the question" (page 140). An index would greatly improve the usefulness of the book: it would prevent many misleading impressions.
The glossary is neither well-written nor accurate: for example, existential import is confused with ontological commitment, token is confused with occurrence, entailment is confused with implication, and there is no hint of awareness of the multiple meanings that have been attached to the word `implication' and its cognates--to mention a small selection from the 30 entries. Any reader new to philosophy of mathematics is advised to ignore the glossary and to rely instead on one of the several excellent philosophy dictionaries made by philosophers. One favorite is the 1999 Cambridge Dictionary of Philosophy.
The first three essays concern the focus in the title of the book: proof, as in "demonstrative proof" as opposed to "proof theory". All three are subjectivist in that they emphasize subjective belief or "conviction" while ignoring objective cognition--the idea that a proof proves a proposition to be true: a proof produces knowledge in the strict sense, not just persuasion. Moreover, there is no reference to the traditional "truth-and-consequence" conception of proof: that a proposition is proved to be true by showing that it is a logical consequence of known truths, i. e. by deducing the conclusion from established premises--leaving no room for pictures, constructions, diagrams, analogue or digital devices, or anything other than deductive reasoning once the premises have been taken.
Overall the book is not easy to read or easy to use. There are however some generally excellent articles--those by Michael Detlefsen, Stewart Shapiro, and Julian Cole stand out--but even these are heavy going, even for someone familiar with previous writings by the same author. Moreover, in almost every essay there are scattered passages containing informative scholarship, useful insights, and interesting and provocative points.
Proof and Other Dilemmas: Mathematics and Philosophy (Spectrum) OverviewDuring the first 75 years of the twentieth century almost all work in the philosophy of mathematics concerned foundational questions. In the last quarter of the century, philosophers of mathematics began to return to basic questions concerning the philosophy of mathematics such as, what is the nature of mathematical knowledge and of mathematical objects, and how is mathematics related to science? Two new schools of philosophy of mathematics, social constructivism and structuralism, were added to the four traditional views (formalism, intuitionalism, logicism, and platonism). The advent of the computer led to proofs and the development of mathematics assisted by computer, and to questions of the role of the computer in mathematics. This book of 16 essays, all written specifically for this volume, is the first to explore this range of new developments in a language accessible to mathematicians. Approximately half the essays were written by mathematicians, and consider questions that philosophers are not yet discussing. The other half, written by philsophers of mathematics, summarize the discussion in that community during the last 35 years. In each case, a connection is made to issues relevant to the teach of mathematics.

Want to learn more information about Proof and Other Dilemmas: Mathematics and Philosophy (Spectrum)?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Negative Math: How Mathematical Rules Can Be Positively Bent Review

Negative Math: How Mathematical Rules Can Be Positively Bent
Average Reviews:

(More customer reviews)
Are you looking to buy Negative Math: How Mathematical Rules Can Be Positively Bent? Here is the right place to find the great deals. we can offer discounts of up to 90% on Negative Math: How Mathematical Rules Can Be Positively Bent. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Negative Math: How Mathematical Rules Can Be Positively Bent ReviewThis book was quite hard to review. There are parts I found extremely interesting, and other parts I thought were full of sloppy thinking and misleading analogies. But overall, I think it is a worthwhile book to read. I think it is appropriate to divide the book into four separate sections, each of which deserves to be reviewed separately.
The first part is an attempt to show that some of the rules of algebra (particularly the rules for manipulating signs) are really counter-intuitive, and also an attempt to gain the perspective of an elementary algebra student who cannot understand why the rules are what they are. It is this part that I think is the worst part of the book, and in his attempts to show that the rules are counter-intuitive, all he manages to do is show that _his_ intuition works quite differently from _my_ intuition. This part is the section in which I found the sloppy thinking and resort to false analogy which I mentioned earlier. It seemed to me that there were things the author just didn't understand, but as I read further in the book, I found that he actually understood them even though he didn't seem to at first. This section would get three stars if I felt generous, or even two, if I were to review it alone.
The second part (actually intermixed with the first in its location in the book) describes the difficulties that mathematicians (even great ones) had in comprehending the concept of negative and imaginary numbers, and as such it provides some historical background for the rest of the book, which justifies its inclusion. If I were to review this part by itself, it would get three stars, meaning "it's OK," but it hardly justifies the book.
The best part of the book is the third. This is a very interesting attempt to come up with an algebra that differs from the usual, where he has to maintain consistency, and so he looks deeply into questions as to what further modifications to traditional algebra have to be made to go along with a postulated change. Much like the introduction of non-Euclidean geometry, the process leads to an odd-looking algebra, but one which fits together, and it is this part that I liked well enough to rate as five-star, bringing the overall rating for the book to four. This part made the book worthwhile for me.
Finally, the author ends with one very long chapter that probably summarizes what _he_ wants the book to be, though the previous section is what _I_ want of the book. He advocates a concept of a mathematics that would be suited to explaining problems of physics in a more natural manner, even if it might look different from traditional mathematics. I would have been happier if this part were shorter, though I think the author himself probably considered this part to be the major thesis of the book and this is why he devoted so much of the book to this part. This part is actually interesting enough that I'd rate it 4 stars, though as I said I'd prefer it more streamlined.
That is an overview of the book: very uneven, with both very good parts and bad, but if everything is all combined, the total package is a pretty good one.Negative Math: How Mathematical Rules Can Be Positively Bent Overview

Want to learn more information about Negative Math: How Mathematical Rules Can Be Positively Bent?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Introducing the Theory of Computation Review

Introducing the Theory of Computation
Average Reviews:

(More customer reviews)
Are you looking to buy Introducing the Theory of Computation? Here is the right place to find the great deals. we can offer discounts of up to 90% on Introducing the Theory of Computation. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Introducing the Theory of Computation ReviewI am going to start by suggested that there are two types of people when it comes to judging books on automata - those who think that mathematical notation makes a subject easy to understand due to its clarity and succinctness and those who are not helped appreciably in their understanding by mathematical notation. Even though I teach computer science at the college level, I am one of the later people. I find the overwhelming majority of my students are among the later as well.
I am teaching an automata course for the second time this fall. While I used the Goddard book my first time around I wanted to make sure I wasn't missing anything, so I spent the summer reading automata textbooks. Now I'm going to use the Goddard book again because it's the only one I've found that I think will make sense to my students. Goddard manages to explain automata and grammars in English and then provide the minimal amount of mathematical notation that's required to deal with the field. This is the only book I've read that manages this. Just go ahead click on the look inside and look at the first pages of the book. They are quite different than other automata textbooks.
It's not a perfect book. The sections on complexity (N NP) are too short. It makes no real effort to explain parsing. I would prefer using the Chomsky hierarchy as an organizing technique rather than an afterthought.But, for the non-math reader it is far the best for the basics of automata theory that I've been able to find.
Even if this book is not assigned for your course you may want to read it to get an understanding of the topics.
Introducing the Theory of Computation OverviewIntroducing the Theory of Computation is the ideal text for any undergraduate, introductory course on formal languages, automata, and computability. The author provides a concise, yet complete introduction to the important models of finite automata, grammars, and Turing machines, as well as undecidability and the basics of complexity theory. Numerous problems and programming exercises, varying in level of difficulty, round out each chapter and allow students to test themselves on key topics. Answers to selected exercises are included as an appendix and a complete instructor s solutions manual is available on the text s web site.

Want to learn more information about Introducing the Theory of Computation?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Theories of Mathematics Education: Seeking New Frontiers (Advances in Mathematics Education) Review

Theories of Mathematics Education: Seeking New Frontiers (Advances in Mathematics Education)
Average Reviews:

(More customer reviews)
Are you looking to buy Theories of Mathematics Education: Seeking New Frontiers (Advances in Mathematics Education)? Here is the right place to find the great deals. we can offer discounts of up to 90% on Theories of Mathematics Education: Seeking New Frontiers (Advances in Mathematics Education). Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Theories of Mathematics Education: Seeking New Frontiers (Advances in Mathematics Education) ReviewThis is an important book for mathematics education researchers. There are already, or are going to be, several lengthy reviews in various mathematics education research journals, e.g., Mathematical Thinking and Learning.Theories of Mathematics Education: Seeking New Frontiers (Advances in Mathematics Education) OverviewThis inaugural book in the new series Advances in Mathematics Education is the most up to date, comprehensive and avant garde treatment of Theories of Mathematics Education which use two highly acclaimed ZDM special issues on theories of mathematics education (issue 6/2005 and issue 1/2006), as a point of departure. Historically grounded in the Theories of Mathematics Education (TME group) revived by the book editors at the 29th Annual PME meeting in Melbourne and using the unique style of preface-chapter-commentary, this volume consist of contributions from leading thinkers in mathematics education who have worked on theory building.This book is as much summative and synthetic as well as forward-looking by highlighting theories from psychology, philosophy and social sciences that continue to influence theory building. In addition a significant portion of the book includes newer developments in areas within mathematics education such as complexity theory, neurosciences, modeling, critical theory, feminist theory, social justice theory and networking theories. The 19 parts, 17 prefaces and 23 commentaries synergize the efforts of over 50 contributing authors scattered across the globe that are active in the ongoing work on theory development in mathematics education.

Want to learn more information about Theories of Mathematics Education: Seeking New Frontiers (Advances in Mathematics Education)?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Mastering Mathematica, Second Edition: Programming Methods and Applications Review

Mastering Mathematica, Second Edition: Programming Methods and Applications
Average Reviews:

(More customer reviews)
Are you looking to buy Mastering Mathematica, Second Edition: Programming Methods and Applications? Here is the right place to find the great deals. we can offer discounts of up to 90% on Mastering Mathematica, Second Edition: Programming Methods and Applications. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Mastering Mathematica, Second Edition: Programming Methods and Applications Review7.24.99 SJW*****
This is something of a book review, but also a commentary on the Mathematica package. My background is a recent MS in Computer Science. My interest in Mathematica is as a thinking tool for Programmer/Analysts or R&D Prototypers.
John Gray's book comes with a CD-ROM including the entire text of the book (the book was produced using Mathematica) as well as help files which can easily be integrated into the resources of the Mathematica Help Browser.
The book is well laid out (see the Table of Contents at amazon.com) topically, starting with very basic usage of the math abilities, and the user interface, then moving on to programming styles using Mathematica and methods of representing information in Mathematica. (All major commands in the Mathematica package are searchable, topical resources are available via documentation chapters on that topic, and explanatory text is hyperlinked in html format.)
The book's style is absolutely functional, and is targeted at users who have at least a threshhold knowledge of modern programming. Much of the material somewhat assumes that the reader has read enough using the Help Browswer with its on-line manual to be able to operate the notebook interface. Examples are given for almost every topic (the examples are executable in Mathematica, as the text of the book is in the form of a Mathematica notebook), although the specifics of each example are not necessarily explained.
As a programmer, the most amazing revelation of Gray's book is the degree to which the Mathematica package is programmable. Of course, procedural commands are built in to allow the coding of procedural algorithms (these commands have the form of generic pseudocode commands, or "near-C"). But Gray gives examples of programming using functions (recursion is allowed), as well as instructions re o-o and constraint (rule-based) styles of programming. (Note that Mathematica has built in pattern matching notations--especially useful for rule-based programming.)
In short, not only is Mathematica a completely integrated symbolic/numeric advanced math utility with integrated graphics and statistical packages, but it also has its own virtual operating system (full file i/o controls), and it allows the user to write rule-based programs (such as LISP or Prolog interpreters) which have full access to all of the built in Mathematica abilities, and to custom compiled components which the user has written.
Because all Mathematica's abilities are integrated, data can easily be displayed graphically, allowing visual debugging of difficult algorithms, or analysis (or reports). Gray provides a few examples of the visual display of algorithms.
The bottom line is that Mathematica is an astounding prototyping tool, as well as being the best graduate CS math utility I have used. And John Gray's book opens up these possibilities to the reader. Savor the possibilities!Mastering Mathematica, Second Edition: Programming Methods and Applications OverviewThis new edition of Mastering Mathematica focuses on using Mathematica as a programming language, because programming in Mathematica is the best way to use the software to its fullest capacity. The book covers functional programming, imperative programming, rewrite programming, and object-oriented programming. It also addresses the use of Mathematica as a symbolic manipulator and a general tool for knowledge representation.* Focus on four different types of programmingstyles with Mathematica: functional programming, rewrite (or rule-based) programmng, imperative (or procedural) programming, and object-orientedprogramming, with many examples of each style* Compatible with Mathematica 3.0 and its programming language* Chapters on graphics programming show how to make the most of the considerable graphics capabilities of Mathematica* Includes coverage of programming needed for creation of Mathematica packages that allow a user to extend the language as needed for particular uses* Applications include:* Polya pattern analysis*Critical points of functions*Object-oriented graph theory*Minimal surfaces* Mathematica-Enhanced CD-ROM Enclosed* Complete text in active Mathematica Notebook files, enhanced for v3.0; Allows you to evaluatecomplex examples without retyping; Extensiveuse of the v3.0 math typesetting system* Hyperlink index and table of contents * Instant access to any chapter or topic* Index is automatically merged with the main Mathematica help system forming a master index of all the user's Mathematica related information; Quickly see listings on a given topic from The Mathematica Book, Mastering Mathematica, the Guide to Standard Packages, or any other Help Browswer aware books you have installed

Want to learn more information about Mastering Mathematica, Second Edition: Programming Methods and Applications?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Transaction Processing: Concepts and Techniques (The Morgan Kaufmann Series in Data Management Systems) Review

Transaction Processing: Concepts and Techniques (The Morgan Kaufmann Series in Data Management Systems)
Average Reviews:

(More customer reviews)
Are you looking to buy Transaction Processing: Concepts and Techniques (The Morgan Kaufmann Series in Data Management Systems)? Here is the right place to find the great deals. we can offer discounts of up to 90% on Transaction Processing: Concepts and Techniques (The Morgan Kaufmann Series in Data Management Systems). Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Transaction Processing: Concepts and Techniques (The Morgan Kaufmann Series in Data Management Systems) ReviewFor nearly a decade this book has been the definitive reference on transaction processing. Although the more recent, May 2001 book titled "Transactional Information Systems: Theory, Algorithms, and the Practice of Concurrency Control" by Gerhard Weikum and Gottfried Vossen will probably supplant this book as the standard reference, there is still much material that makes this book useful.
In particular, this book covers the following topics in more depth than the newer boom cited above:
- Fault tolerance and availability, both topics are covered in depth from hardware and software perspectives. This is unique for a book on transaction processing in that most books on the subject confine their scope to software and databases.
- A wide and complete survey of transaction models. True, some of this material is about models that are falling into disuse, but the value is the way the authors go deeply into the mechanics. I've always felt that this part of the book is the most valuable because the principles can be refactored into hybrid models. Moreover, comparing this material with the newer book by Weikum and Vossen shows that these principles are still employed in today's TP solutions.
Material about transaction processing monitors is obviously out of date, but, like the TP models, the principles still apply to contemporary systems. My recommendation is if you are going to buy a single book on the topic get the Weikum and Vossen I cited in the first paragraph. However, if your budget allows, I also highly recommend this book as well because of the depth in which fault tolerance and TP models are covered. If you want to just learn the basics of TP I recommend that you consider "Principles of Transaction Processing" by Philip A. Bernstein and Eric Newcomer because it is less daunting than this or the Weikum and Vossen book (both of which are 1100+ pages).Transaction Processing: Concepts and Techniques (The Morgan Kaufmann Series in Data Management Systems) Overview
The key to client/server computing. Transaction processing techniques are deeply ingrained in the fields ofdatabases and operating systems and are used to monitor, control and updateinformation in modern computer systems. This book will show you how large,distributed, heterogeneous computer systems can be made to work reliably.Using transactions as a unifying conceptual framework, the authors show howto build high-performance distributed systems and high-availabilityapplications with finite budgets and risk.

The authors provide detailed explanations of why various problems occur aswell as practical, usable techniques for their solution. Throughout the book,examples and techniques are drawn from the most successful commercial andresearch systems. Extensive use of compilable C code fragments demonstratesthe many transaction processing algorithms presented in the book. The bookwill be valuable to anyone interested in implementing distributed systemsor client/server architectures.


Want to learn more information about Transaction Processing: Concepts and Techniques (The Morgan Kaufmann Series in Data Management Systems)?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry Review

The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry
Average Reviews:

(More customer reviews)
Are you looking to buy The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry? Here is the right place to find the great deals. we can offer discounts of up to 90% on The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry ReviewMario Livio's title suggests an exploration of unsolvable equations, in particular the drama enshrouding the mathematical conundrum of solving general, fifth degree polynomial equations, known as quintics. His subtitle, "How Mathematical Genius Discovered the Language of Symmetry," indicates that his work will also explore the role of symmetry in ultimately resolving the question of whether such polynomials could be solved by a formulas using nothing more than addition, subtraction, multiplication, division, and nth roots. These two subjects portend an interesting discussion on the solvability of equations and the peculiar mathematical race in Renaissance Europe to "discover" the magical formulas for solving cubics and quartics.
One could reasonably expect that the groundbreaking work of Tartaglia, Cardano. Ferraro, Galois, Abel, Kronecker, Hermite, and Klein would be encompassed in this survey, and indeed they are. However, purchasers of this book are given no indication that they will spend well over half their reading time on rehashes of Abel's tragic life story and the mythology of Evariste Galois's foolish death, Emmy Noether's challenges as a woman mathematician in Germany, a history of group theory, Einstein's theory of relativity, the place of string theory in modern cosmology, the survival benefits of symmetry in evolution, Daniel Gorenstein's 30-year proof that "every finite simple group is either a member of one of the eighteen families or is one of the twenty-six sporadic groups," a trite and unnecessary diversion on human creativity, and finally, an even more outlandish (and utterly inconclusive) "comparison" of Galois's brain with that of Albert Einstein. The persevering reader can only conclude that anything and everything that remotely touches upon the quintic and Galois's work was given a chapter of its own, a mathematical version of "everything but the kitchen sink." The end result is an unfortunate mishmash, a sort of treetop skimming of modern mathematics, post-Newtonian physics, and cognitive theory.
Sadly, Mr. Livio misses a number of opportunities to enlighten his readers on the theory of polynomials, the nature of their roots, and the curious symmetries one encounters. For example, he makes no effort to discuss the nature of polynomial roots beyond a short Appendix, and he passes on the chance to detail the marvelous symmetry of imaginary roots in equations such as x^6 = 1. While he outlines the general thrust of Galois's approach to the unsolvability of quintics, Livio also mentions that Hermite found a method to solve the general quintic using elliptic functions, but we are not told how such a solution is discovered. What about sixth degree polynomials and beyond? Mr. Livio doesn't tell us - he's too busy worrying over the fairness of the first draft lottery in 1970. There is also the small matter of the author's style of explication. At times, such as his introduction to symmetry, he writes for a general, non-mathematical audience. Later, he tosses out references to elliptic functions without explanation and culminates his group theory discussion with sentences like, "We can use the family tree of these subgroups to create a sequence of composition factors (order of the parent group divided by that of the maximal normal subgroup)."
What THE EQUATION THAT COULDN'T BE SOLVED really needed was a good editor to bring these widespread ramblings into focus. A bit of truth in advertising might have been appropriate as well, but a book entitled "The Role of Group Theory in Modern Mathematics and Science" (primarily what this book is about, along with the author's peculiar obsession with Evariste Galois's death by duel) wouldn't tap well into the market developed by Keith Devlin, John Allen Paulos, Ian Stewart, Eli Maor, Simon Singh, and other popularizers of mathematics for mass market audiences. In the end, this book falls short of its companions for its sheer lack of focus and somewhat misleading cover presentation. At times, the book is interesting; at others, regrettably, it's simply too much of a superficial slog through too many loosely connected disciplines.The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry Overview

Want to learn more information about The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics Review

How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
Average Reviews:

(More customer reviews)
Are you looking to buy How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics? Here is the right place to find the great deals. we can offer discounts of up to 90% on How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics ReviewIt is made abundantly clear in this fascinating book that certain sub-disciplines in mathematics are extremely useful in describing the physical world in which we live. It is made equally clear, and admitted by the author, that many other of its sub-disciplines are (at least currently) completely useless in the sense that there are no known practical applications. The author, a mathematician, does an excellent job in providing the reader with an overview of both types of these sub-disciplines, while discussing various questions and issues in mathematics. To add a human element to these discussions, the author has peppered the text with many historical and micro-biographical snippets, as well as personal anecdotes - thus making the book all the more enjoyable. The writing style is authoritative, very friendly and generally clear; that is, some sections could have been made clearer if figures or diagrams had been included to complement the descriptions that are given, thus saving the reader a bit of re-reading and head scratching (such as in my case). The fact that many mathematical terms are used without being previously defined suggests that the reader should have some basic knowledge in math in order to better appreciate the topics being discussed. Consequently, the book would likely be most enjoyed by science and especially math buffs.How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics Overview
In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.

Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.


Want to learn more information about How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

On Proof for the Existence of God, and Other Reflective Inquiries Review

On Proof for the Existence of God, and Other Reflective Inquiries
Average Reviews:

(More customer reviews)
Are you looking to buy On Proof for the Existence of God, and Other Reflective Inquiries? Here is the right place to find the great deals. we can offer discounts of up to 90% on On Proof for the Existence of God, and Other Reflective Inquiries. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

On Proof for the Existence of God, and Other Reflective Inquiries ReviewI have engaged in a philosophical debate with this author, though I have not read this book (nor do I intend to). As such, I would prefer to "comment" rather than "review" but Amazon requires a rating, so I've chosen to be neutral. (but see EDIT below)
Our philosphical debate was conducted in the comments attached to the author's review of Dan Barker's "Godless" and I encourage anyone thinking of buying this book to read those comments (found here: http://www.amazon.com/review/R143V7DEFFOH2N/ref=cm_cd_pg_pg1?ie=UTF8&cdPage=1). If you find Mr. Vjecsner's arguments compelling and his reasoning sound, you may very well like this book.
It should be noted that this book is self-published (the principle contact for Penden Press is Mr. Vjecsner himself). Self-publishing is not a crime, but it is often undertaken by people whose work is rejected elsewhere and often such persons have an axe to grind.
In that context, it should also be noted that Mr. Vjecsner believes that he has single-handedly overturned much of the accepted wisdom in philosophy, mathematics and logic. I find it interesting to read the "endorsements" supplied by the publisher in that light (and keeping in mind that Mr. Vjecsner presumably chose and edited the quotes himself - see EDIT #2 below).
In short, if you are interested in reading the work of someone who believes they have single-handedly revolutionized logic, mathematics and philosophy and who promotes the concept of intelligent design, someone who writes Amazon reviews praising ID books and damning books on evolution (as well as books on geometry that contradict his own idiosyncratic theories), someone who believes that the very existence of natural laws (like gravity) suggests the existence of a lawgiver (god), then this may well be the book for you.
I, on the other hand, am convinced by my interaction with the author that reading this book would be a waste of my time. If you read our little discussion, you'll see that he probably agrees.
-----------
EDIT: At the time I wrote the above I did not realize that this book has "Look Inside" enabled. I have since tried to read the introduction and some sample pages (and I recommend that you take a look). The writing is pretty turgid and the syntax is rather stilted (here's a quote: "The opposition to the unacknowledged may intensify if what is submitted is not merely presumed wrong, but is, even if supposed right, of determinations regarded as unlikely or impossible to make, as are ones propounded in this treatise"[p. 1] and here's another: "The awareness as to which of the information one may be guided by, which of it is of reality, constitutes knowledge, whose function is correspondingly to be the guide in one's pursuits, to be the means, alongside one's power to act, toward fulfillment of one's purposes"[p. 223]). Now those sentences do make sense, but the writing doesn't exactly flow. If you think these ideas are your cup of tea, be prepared for some tough slogging to get through this book - not an easy read.
------------
EDIT #2:
Mr. Vjecsner frankly admits that the "endorsements" were taken out of context from otherwise negative reviews. When I expressed concern as to whether the views of people he quoted were being represented fairly by the quotes, he replied:
"Well dear T, I have no concern over it at all. Those views needn't be represented "fairly", because they may be otherwise negative, unlike perhaps glowing tributes by academic colleagues of other authors, who tacitly agree that "I'll scratch your back, and you'll scratch mine". They, too, will not quote negative reviews, out of self-interest. I have to do the best I can in my situation, and it isn't really in my self-interest, because I feel obligated to transmit my insights to others"*We might note several features of this little tirade - first, he admits that he took the quotes out of context and it causes him no concern; second, that he feels justified in doing so because he's being ostracized by the academic community; third, he doesn't see any self-interest in this because he has some sort of duty to transmit his insights; fourth, that cherry-picking from negative reviews is "the best he can do" which would mean he's got no positive reviews to quote. I will let the reader draw his or her own conclusions as to the implications of these remarks.
*quoted from [...]
On Proof for the Existence of God, and Other Reflective Inquiries OverviewThe book deals with traditional philosophical issues such as the existence of God and other questions of truth. The approach is one of common experience and reasoning guided by dependable rules of logic as they have been known in mathematics.

Want to learn more information about On Proof for the Existence of God, and Other Reflective Inquiries?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Reading and Writing in Science: Tools to Develop Disciplinary Literacy Review

Reading and Writing in Science: Tools to Develop Disciplinary Literacy
Average Reviews:

(More customer reviews)
Are you looking to buy Reading and Writing in Science: Tools to Develop Disciplinary Literacy? Here is the right place to find the great deals. we can offer discounts of up to 90% on Reading and Writing in Science: Tools to Develop Disciplinary Literacy. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Reading and Writing in Science: Tools to Develop Disciplinary Literacy ReviewMaria C. Grant and Douglas Fisher's READING AND WRITING IN SCIENCE: TOOLS TO DEVELOP DISCIPLINARY LITERACY helps students develop literacy tools for critical thinking in science, and provides middle to high school teachers with specific tools for building students through science. From developing science reading skills to using graphic organizers and writing-to-learn, this packs in many insights.Reading and Writing in Science: Tools to Develop Disciplinary Literacy OverviewWritten by a science educator and a literacy expert, this resource gives secondary science teachers an approach for developing students' disciplinary literacy so they can access science content.

Want to learn more information about Reading and Writing in Science: Tools to Develop Disciplinary Literacy?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Modeling with Data: Tools and Techniques for Scientific Computing Review

Modeling with Data: Tools and Techniques for Scientific Computing
Average Reviews:

(More customer reviews)
Are you looking to buy Modeling with Data: Tools and Techniques for Scientific Computing? Here is the right place to find the great deals. we can offer discounts of up to 90% on Modeling with Data: Tools and Techniques for Scientific Computing. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Modeling with Data: Tools and Techniques for Scientific Computing ReviewKlemens teaches how to tame and understand a dataset the way it should be done: in C. Invest some time in this excellent book full of gentle humor and respect for the reader's intelligence. The payoffs will be immense. The best resource (a full set of programs used in the book) accompanying this book is available for FREE(!) on Klemens's website!Modeling with Data: Tools and Techniques for Scientific Computing Overview
Modeling with Data fully explains how to execute computationally intensive analyses on very large data sets, showing readers how to determine the best methods for solving a variety of different problems, how to create and debug statistical models, and how to run an analysis and evaluate the results.

Ben Klemens introduces a set of open and unlimited tools, and uses them to demonstrate data management, analysis, and simulation techniques essential for dealing with large data sets and computationally intensive procedures. He then demonstrates how to easily apply these tools to the many threads of statistical technique, including classical, Bayesian, maximum likelihood, and Monte Carlo methods. Klemens's accessible survey describes these models in a unified and nontraditional manner, providing alternative ways of looking at statistical concepts that often befuddle students. The book includes nearly one hundred sample programs of all kinds. Links to these programs will be available on this page at a later date.

Modeling with Data will interest anyone looking for a comprehensive guide to these powerful statistical tools, including researchers and graduate students in the social sciences, biology, engineering, economics, and applied mathematics.


Want to learn more information about Modeling with Data: Tools and Techniques for Scientific Computing?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies) Review

Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies)
Average Reviews:

(More customer reviews)
Are you looking to buy Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies)? Here is the right place to find the great deals. we can offer discounts of up to 90% on Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies). Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies) ReviewThe main goal of the book under review is to provide a systematic and profound analysis of several important historical and epistemological aspects of category theory. The central theme of the book is to give an analysis of the remarkable fact that category theory gained position in daily mathematics as a useful and legitimate conceptual innovation, in spite of the difficulties of its set-theoretical foundations and the challenge it caused to this formerly well-established mathematical foundation and to some epistemological positions.
The philosophical stance to category theory developed here is inspired by the pragmatism of Peirce and by Wittgenstein's criticisms of reductionism, which represents a highly interesting alternative to more traditional approaches in philosophy of mathematics like logicism, intuitionism, formalism, realism, fictionalism, etc. In this vein, the author's philosophical position focusses on the "use" of concepts, instead of formal syntax and semantics, and on the thesis that that philosophical justification of mathematical reasoning is an accurate description of the way mathematicians work with categories.
I missed, in the context of a philosophy of category theory, more detailed discussions on some category-theorists philosophical positions, like Lawvere's "dialectical" philosophy of mathematics, different versions of structuralism and different "topos foundations" (for instance, those of Lambek, Bell, Mac Lane) and in this sense the book is more a history than a philosophy of category theory. Some passages are obscured rather than clarified by the philosophical tone, and a methodological fault is that the author sometimes regards spontaneous declarations of some mathematicians as well-elaborated philosophical conceptions or official historical explanations.
Nonetheless, this work is a serious attempt to discuss the history and a philosophy of category theory, and historians of mathematics, philosophers of mathematics, and also "working" mathematicians can profit to a large extent from Krömer's analysis.
Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies) OverviewCategory theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.

Want to learn more information about Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies)?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Singular Spectrum Analysis: A New Tool in Time Series Analysis (Language of Science) Review

Singular Spectrum Analysis: A New Tool in Time Series Analysis (Language of Science)
Average Reviews:

(More customer reviews)
Are you looking to buy Singular Spectrum Analysis: A New Tool in Time Series Analysis (Language of Science)? Here is the right place to find the great deals. we can offer discounts of up to 90% on Singular Spectrum Analysis: A New Tool in Time Series Analysis (Language of Science). Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Singular Spectrum Analysis: A New Tool in Time Series Analysis (Language of Science) ReviewThis text is divided into three main parts: 1) Mathematical notes, 2) Theory and Methods, 3) Applications. As a reader interested in time series analysis but unfamiliar with singular spectrum analysis (SSA) per se, I was not really sure what SSA was exactly, or what it is suppose to accomplish, until nearly halfway into the book. Very early on, I found no one single sentence, paragraph, definition, or description that clearly defined SSA beyond a "technique based on spectral decomposition."
Although the text is clearly written and well organized, the authors' target audience is not well established. For example, Section I starts with an rather remedial primer on linear matrix algebra, yet Section II already seems to assume the reader has a fairly mature knowledge of statistical inference, hypothesis testing, and principal component analysis (which might be gained from courses on statistical analysis of variance, or ANOVA). The authors also make frequent references to other time series analysis techniques, such as ARMA modeling and Fourier analysis in Section III. Familiarity with ANOVA and other kinds of time series analyses will certainly benefit the reader.
One gets the impression that the manuscript has been enhanced to fill a textbook-sized volume (and would explain why the book dedicates an entire chapter to numerical examples illustrating such things as how to multiply two matrices). The font size is strikingly large for a 6" x 9" textbook, and the layout is noticeably fragmented with lots of section subtitles and large amounts of white space around these section titles. Specifically, each page accommodates no more than 34 lines of 4 1/4" wide text, which I compared with several textbooks this size which usually accommodated 40-45 lines of 4 1/2" wide text (I suspect the 153 page content might have been fitted into about 100 pages just by changing the book layout). Given the quite basic subject matter of the first few chapters, the remainder of the book is but a fairly short survey on the main subject of SSA. The advantage is that its contents can be covered relatively quickly.
The rarity of introductory texts specifically dedicated to this niche subject matter, and the uncomplicated presentation the authors have chosen, make this book a worthwhile, albeit expensive, introduction to the topic. This book has nice presentation qualities, and had it been issued as a thin, inexpensive paperback, this would more easily be a 4 or 5 star book. Similarly, this is a 4 star book for the prospective reader analyzing data related to the atmospheric sciences or climatology (as much of the authors' background materials emphasize these areas). An expanded second edition would be welcomed.Singular Spectrum Analysis: A New Tool in Time Series Analysis (Language of Science) OverviewThis original new text provides an easily accessibleintroduction to this important new topic in time series analysis. Theauthorsemphasize examples over theoretical explanations and the needforproper and careful statistical tests in the context of dataexploration. The book's focus is on the application of the method insignal detection, filtering, and prediction. Instructors and studentswill appreciate the step-by-step presentation of underlying ideas.

Want to learn more information about Singular Spectrum Analysis: A New Tool in Time Series Analysis (Language of Science)?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation (Genetic Algorithms and Evolutionary Computation) Review

Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation (Genetic Algorithms and Evolutionary Computation)
Average Reviews:

(More customer reviews)
Are you looking to buy Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation (Genetic Algorithms and Evolutionary Computation)? Here is the right place to find the great deals. we can offer discounts of up to 90% on Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation (Genetic Algorithms and Evolutionary Computation). Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation (Genetic Algorithms and Evolutionary Computation) ReviewThis is a good book to learn about Estimation of Distribution Algorithms (EDAs or also called DEAs or Iterated DEAs). These algorithms are similar to evolutionary algorithms, but do not use the crossover or mutation operators of evolutionary search. EDAs instead create a probabilistic model of good solutions and use the model to generate new search points. It's a nifty idea and it works.
Most of the chapters of this edited collection were authored or coauthored by the editors. So, algorithms developed by other people do not get a lot of attention. However, the editors (or is it the authors) manage to include chapters on combinatorial, continuous, and discrete optimization.
There is a section on machine learning applications that is OK, but the last chapter on training neural nets with EDAs is very weak (look ma I used this and it worked...). Except for this chapter, the rest of the chapters in this section use careful experiments and statistics to make their points.
Making the source code available would have improved things and would make it easier for people to try these algorithms.Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation (Genetic Algorithms and Evolutionary Computation) OverviewEstimation of Distribution Algorithms: A New Tool forEvolutionary Computation is devoted to a new paradigm forevolutionary computation, named estimation of distribution algorithms(EDAs). This new class of algorithms generalizes genetic algorithms byreplacing the crossover and mutation operators with learning andsampling from the probability distribution of the best individuals ofthe population at each iteration of the algorithm. Working in such away, the relationships between the variables involved in the problemdomain are explicitly and effectively captured and exploited. This text constitutes the first compilation and review of thetechniques and applications of this new tool for performingevolutionary computation. Estimation of Distribution Algorithms: ANew Tool for Evolutionary Computation is clearly divided intothree parts. Part I is dedicated to the foundations of EDAs. In thispart, after introducing some probabilistic graphical models -Bayesian and Gaussian networks - a review of existing EDAapproaches is presented, as well as some new methods based on moreflexible probabilistic graphical models. A mathematical modeling ofdiscrete EDAs is also presented. Part II covers several applicationsof EDAs in some classical optimization problems: the travellingsalesman problem, the job scheduling problem, and the knapsackproblem. EDAs are also applied to the optimization of some well-knowncombinatorial and continuous functions. Part III presents theapplication of EDAs to solve some problems that arise in the machinelearning field: feature subset selection, feature weighting inK-NN classifiers, rule induction, partial abductive inferencein Bayesian networks, partitional clustering, and the search foroptimal weights in artificial neural networks. Estimation of Distribution Algorithms: A New Tool forEvolutionary Computation is a useful and interesting tool forresearchers working in the field of evolutionary computation and forengineers who face real-world optimization problems. This book mayalso be used by graduate students and researchers in computer science.`... I urge those who are interested in EDAs to study thiswell-crafted book today.' David E. Goldberg, University ofIllinois Champaign-Urbana.

Want to learn more information about Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation (Genetic Algorithms and Evolutionary Computation)?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...

Software Abstractions: Logic, Language, and Analysis Review

Software Abstractions: Logic, Language, and Analysis
Average Reviews:

(More customer reviews)
Are you looking to buy Software Abstractions: Logic, Language, and Analysis? Here is the right place to find the great deals. we can offer discounts of up to 90% on Software Abstractions: Logic, Language, and Analysis. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Software Abstractions: Logic, Language, and Analysis ReviewThis book describes Alloy, a tool for specifying and analyzing data structures and other relationships within your programs. The book walks you through a tutorial, showing you how you can find the bugs in your specifications before you actually write any code, and then goes into the details of the language and its semantics.
I think I was exactly the target audience for this book (and the Alloy language), as I write a lot of Java software and have been looking for a practical specification tool. I've heard of other people who were less happy with this book, as they were trying to learn _about_ Alloy rather than learning Alloy itself. There is some material at the beginning and end that compares and contrasts Alloy with other specification languages, but the real value of this book comes in the middle where it teaches you how to use Alloy effectively.Software Abstractions: Logic, Language, and Analysis OverviewIn Software Abstractions Daniel Jackson introduces a new approach tosoftware design that draws on traditional formal methods but exploits automatedtools to find flaws as early as possible. This approach--which Jackson calls"lightweight formal methods" or "agile modeling"--takes from formal specificationthe idea of a precise and expressive notation based on a tiny core of simple androbust concepts but replaces conventional analysis based on theorem proving with afully automated analysis that gives designers immediate feedback. Jackson hasdeveloped Alloy, a language that captures the essence of software abstractionssimply and succinctly, using a minimal toolkit of mathematical notions. The designercan use automated analysis not only to correct errors but also to make models thatare more precise and elegant. This approach, Jackson says, can rescue designers from"the tarpit of implementation technologies" and return them to thinking deeply aboutunderlying concepts.Software Abstractions introduces the key elements of theapproach: a logic, which provides the building blocks of the language; a language,which adds a small amount of syntax to the logic for structuring descriptions; andan analysis, a form of constraint solving that offers both simulation (generatingsample states and executions) and checking (finding counterexamples to claimedproperties). The book uses Alloy as a vehicle because of its simplicity and toolsupport, but the book's lessons are mostly language-independent, and could also beapplied in the context of other modeling languages.

Want to learn more information about Software Abstractions: Logic, Language, and Analysis?

>> Click Here to See All Customer Reviews & Ratings Now
Read More...