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Author : Underwood Dudley
Publisher :
ISBN 13 : 9781470458621
Total Pages : 325 pages
Book Rating : 4.24/5 ( download)
Download or read book Is Mathematics Inevitable? written by Underwood Dudley and published by . This book was released on 2008 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Underwood Dudley
Publisher : MAA Press
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.50/5 ( download)
Download or read book Is Mathematics Inevitable? written by Underwood Dudley and published by MAA Press. This book was released on 2008-04-29 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of gems from the literature of mathematics that shine as brightly today as when they first appeared in print - they deserve to be seen and admired. The selections include two opposing views on the purpose of mathematics, the strong law of small numbers, the treatment of calculus in the 1771 Encyclopaedia Britannica, several proofs that the number of legs on a horse is infinite, a deserved refutation of the ridiculous Euler-Diderot anecdote, the real story of π and the Indiana legislature, the reason why Theodorus stopped proving that square roots were irrational when he got to the square root of 17, an excerpt from Mathematics Made Difficult, a glimpse into the mind of a calculating prodigy, and much more. There will be something here for anyone interested in mathematics.
Author : Max Tegmark
Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.58/5 ( download)
Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Author : Philip B Persinger
Publisher : iUniverse
ISBN 13 : 1462014224
Total Pages : 257 pages
Book Rating : 4.24/5 ( download)
Download or read book Do the Math written by Philip B Persinger and published by iUniverse. This book was released on 2011-10-26 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: What could be worse than losing the love of your life? Getting her back! William Teale is a brilliant professor of mathematics. His theory of inevitability posits that any human action, no matter how insignificant, might result in a disproportionately huge calamity. His wife, Virginia "Faye" Warner, is a world-famous romance novelist who specializes in reuniting soul mates after a tragic and prolonged separation. According to her math, "one past and two hearts plus one love equals four-ever." The Teale-Warner marriage is a thing of geometric and artistic perfection, a melding of the heart and the brain-amour and algebra. But when Faye's ghostwriter suffers a nervous breakdown and shakes all the arrows out of Cupid's quiver, Faye reintroduces her husband to love. Unfortunately, it's not with herself, but with the woman William had loved and lost years ago. Love is about to clash with inevitability, and it's unclear which will emerge victorious. Told in the off-beat voice of William's graduate intern, Roger, Do the Math reveals the curious relationship between logic and love and the delightful consequences of taking a chance.
Author : Lena Soler
Publisher : University of Pittsburgh Press
ISBN 13 : 0822981157
Total Pages : 401 pages
Book Rating : 4.52/5 ( download)
Download or read book Science as It Could Have Been written by Lena Soler and published by University of Pittsburgh Press. This book was released on 2016-02-19 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Could all or part of our taken-as-established scientific conclusions, theories, experimental data, ontological commitments, and so forth have been significantly different? Science as It Could Have Been focuses on a crucial issue that contemporary science studies have often neglected: the issue of contingency within science. It considers a number of case studies, past and present, from a wide range of scientific disciplines—physics, biology, geology, mathematics, and psychology—to explore whether components of human science are inevitable, or if we could have developed an alternative successful science based on essentially different notions, conceptions, and results. Bringing together a group of distinguished contributors in philosophy, sociology, and history of science, this edited volume offers a comprehensive analysis of the contingency/inevitability problem and a lively and up-to-date portrait of current debates in science studies.
Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486316130
Total Pages : 672 pages
Book Rating : 4.30/5 ( download)
Download or read book Mathematics for the Nonmathematician written by Morris Kline and published by Courier Corporation. This book was released on 2013-04-15 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Author : Jzsef Beck
Publisher : American Mathematical Soc.
ISBN 13 : 0821847562
Total Pages : 267 pages
Book Rating : 4.65/5 ( download)
Download or read book Inevitable Randomness in Discrete Mathematics written by Jzsef Beck and published by American Mathematical Soc.. This book was released on 2009-09-01 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has been called the science of order. The subject is remarkably good for generalizing specific cases to create abstract theories. However, mathematics has little to say when faced with highly complex systems, where disorder reigns. This disorder can be found in pure mathematical arenas, such as the distribution of primes, the $3n+1$ conjecture, and class field theory. The purpose of this book is to provide examples--and rigorous proofs--of the complexity law: (1) discrete systems are either simple or they exhibit advanced pseudorandomness; (2) a priori probabilities often exist even when there is no intrinsic symmetry. Part of the difficulty in achieving this purpose is in trying to clarify these vague statements. The examples turn out to be fascinating instances of deep or mysterious results in number theory and combinatorics. This book considers randomness and complexity. The traditional approach to complexity--computational complexity theory--is to study very general complexity classes, such as P, NP and PSPACE. What Beck does is very different: he studies interesting concrete systems, which can give new insights into the mystery of complexity. The book is divided into three parts. Part A is mostly an essay on the big picture. Part B is partly new results and partly a survey of real game theory. Part C contains new results about graph games, supporting the main conjecture. To make it accessible to a wide audience, the book is mostly self-contained.
Author : Armand Borel
Publisher : American Mathematical Soc.
ISBN 13 : 0821802887
Total Pages : 184 pages
Book Rating : 4.85/5 ( download)
Download or read book Essays in the History of Lie Groups and Algebraic Groups written by Armand Borel and published by American Mathematical Soc.. This book was released on 2001 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic groups and Lie groups are important in most major areas of mathematics, occuring in diverse roles such as the symmetries of differential equations and as central figures in the Langlands program for number theory. In this book, Professor Borel looks at the development of the theory of Lie groups and algebraic groups, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. As the starting point of this passagefrom local to global, the author takes Lie's theory of local analytic transformation groups and Lie algebras. He then follows the globalization of the process in its two most important frameworks: (transcendental) differential geometry and algebraic geometry. Chapters II to IV are devoted to the former,Chapters V to VIII, to the latter.The essays in the first part of the book survey various proofs of the full reducibility of linear representations of $SL 2M$, the contributions H. Weyl to representation and invariant theory for Lie groups, and conclude with a chapter on E. Cartan's theory of symmetric spaces and Lie groups in the large.The second part of the book starts with Chapter V describing the development of the theory of linear algebraic groups in the 19th century. Many of the main contributions here are due to E. Study, E. Cartan, and above all, to L. Maurer. After being abandoned for nearly 50 years, the theory was revived by Chevalley and Kolchin and then further developed by many others. This is the focus of Chapter VI. The book concludes with two chapters on various aspects of the works of Chevalley on Lie groupsand algebraic groups and Kolchin on algebraic groups and the Galois theory of differential fields.The author brings a unique perspective to this study. As an important developer of some of the modern elements of both the differential geometric and the algebraic geometric sides of the theory, he has a particularly deep appreciation of the underlying mathematics. His lifelong involvement and his historical research in the subject give him a special appreciation of the story of its development.
Author : Richard Courant
Publisher : Oxford University Press, USA
ISBN 13 : 9780195105193
Total Pages : 596 pages
Book Rating : 4.92/5 ( download)
Download or read book What is Mathematics? written by Richard Courant and published by Oxford University Press, USA. This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.
Author :
Publisher : Jeffrey Bennett
ISBN 13 : 193754818X
Total Pages : 302 pages
Book Rating : 4.86/5 ( download)
Download or read book Math for Life: Crucial Ideas You Didn't Learn in School written by and published by Jeffrey Bennett. This book was released on with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
