PDF Ebook How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics, by James D., Jr. Stein
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How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics, by James D., Jr. Stein
PDF Ebook How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics, by James D., Jr. Stein
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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.
- Sales Rank: #573770 in Books
- Published on: 2008-04-22
- Released on: 2008-04-22
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x .97" w x 6.00" l, 1.04 pounds
- Binding: Hardcover
- 288 pages
From Publishers Weekly
Stein, a mathematics professor at California State University, explores the application of math to problem solving in the everyday, explaining tricky concepts and developing elegant algorithms for everything from scheduling auto repair to organizing a closet. He also demonstrates the power of the solution: "We advance, both as individuals and as a species, by solving problems. As a rule of thumb, the reward for solving problems increases with the difficulty." Stein blends math history and complex theories with jokes in a seamless manner while looking into everything from quantum mechanics to voting, while still realizing the limitations of his field-"without experiments and measurement these tools mathetmatics are essentially useless"-and its more whimsical possibilities: "We do not yet have the mathematical objects needed to discuss art, or beauty, or love; but that does not mean that they do not exist." Stein's work, mathematically rigorous but with minimal equations, will appeal to both casual and serious fans of math or physics, as well as those who take keen interest in problem solving.
Copyright © Reed Business Information, a division of Reed Elsevier Inc. All rights reserved.
About the Author
James D. Stein is a professor of mathematics at California State University, Long Beach. A graduate of Yale University and the University of California, Berkeley, he lives in Redondo Beach, California.
Most helpful customer reviews
17 of 20 people found the following review helpful.
A Brief Overview of the World of Mathematics
By George Poirier
It 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.
3 of 3 people found the following review helpful.
Much More Eclectic Than Most Pop Sci Math Books
By Let's Compare Options Preptorial
First, DO NOT buy this book if you think it has anything to do with telling you how to repair your car or how your calculator or DVD player works. This is MUCH more about pure math than the publisher has advertised!
The real fun and value of this book is the author's unusual command of MANY of the 6,500 fields of math listed in the MSC. Today mathematicians must specialize so much, that it is rare to find one who can simultaneously draw examples from geometry, physics, sociology and Theology! Stein is bright, entertaining and electic, and just an awesome teacher. If you teach math, this book is a MUST to show your students the numerous "angles" you can come at when looking at a problem, including a LOT of humility throughout the text about what can and can't be solved.
Stein will be discussing a reprise from Pythag to Quantum, and suddenly digress into bisecting triangles or constructing cubes with a compass, then later relate them to the provability of the existence of God! Wow. He hints at the possibility that certain arcane fields are indeed lurking to be found, as well as unseen connections between research in different areas (voting behavior vs. physics). 5 years later his predictions are exploding everywhere... from quaternions in game programming physics and computer graphics to logs and primes in quantum computing.
He mentions discrete math and many "older" techniques as now relevant to quantum physics. Some of this is an interesting irony: "old" brute numeric methods were used in antiquity because there were no shorter algorithms and no computers; they are now being resurrected BECAUSE there are computers, not due to sitting with pencil and paper as a discipline, but because 0 and 1 brute crunching is easy for a machine, especially in matrices in linear algebra, for example.
Some "pop math" readers may not like this because Stein keeps bringing historical concepts into the discussion, but they are missing the point: this wonderful author is showing us how to create and discover innovation with new connections, BOTH between current siloed research papers and dusting off old ideas with a new quantum "spin." He is humble enough to even show us how this happened with his own dissertation.
There are too many topics included to list, from uncertainty in math and physics to democracy and voting, but NOT a lot on car repair! Strikes a great balance between easy and tough, and is recommended for teachers due to the multi-modality presentation of concepts that give an outstanding intuitive feel for the topic he's covering. This is one animated guy, and when you finish you'll wish you'd had him as a teacher. Lotsa fun, even without the Ford Truck diagrams.
Library Picks reviews only for the benefit of Amazon shoppers and has nothing to do with Amazon, the authors, manufacturers or publishers of the items we review. We always buy the items we review for the sake of objectivity, and although we search for gems, are not shy about trashing an item if it's a waste of time or money for Amazon shoppers. If the reviewer identifies herself, her job or her field, it is only as a point of reference to help you gauge the background and any biases.
5 of 6 people found the following review helpful.
Math, for the fun of it
By P. Madden
Who would have thought a book about math could make you chuckle and be thought provoking at the same time? Even though I'm not a math person, I had no problems following along. I enjoyed the author's humor and would recommend this entertaining book to everyone.
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