Is Mathematics Inevitable
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Is Mathematics Inevitable
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Author : Underwood Dudley
language : en
Publisher:
Release Date : 2008
Is Mathematics Inevitable written by Underwood Dudley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Is Mathematics Inevitable
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Author : Underwood Dudley
language : en
Publisher: MAA Press
Release Date : 2008-04-29
Is Mathematics Inevitable written by Underwood Dudley and has been published by MAA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-29 with Mathematics categories.
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.
Do The Math
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Author : Philip B Persinger
language : en
Publisher: iUniverse
Release Date : 2011-10-26
Do The Math written by Philip B Persinger and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-26 with Fiction categories.
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.
Inevitable Randomness In Discrete Mathematics
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Author : Jzsef Beck
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-09-01
Inevitable Randomness In Discrete Mathematics written by Jzsef Beck and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-01 with Mathematics categories.
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.
Mathematics For The Nonmathematician
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Author : Morris Kline
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15
Mathematics For The Nonmathematician written by Morris Kline and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Mathematics categories.
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.
Democracy And Mathematics Education
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Author : Kurt Stemhagen
language : en
Publisher: Taylor & Francis
Release Date : 2021-05-06
Democracy And Mathematics Education written by Kurt Stemhagen and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-06 with Education categories.
In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students’ math abilities and democratic potential. They locate mathematics’ origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book’s humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics’ Choice Book Award.
Strength In Numbers
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Author : Sherman K. Stein
language : en
Publisher: Turner Publishing Company
Release Date : 2008-05-02
Strength In Numbers written by Sherman K. Stein and has been published by Turner Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-02 with Mathematics categories.
An Easygoing, Highly Entertaining Refresher on all the Math You'll Ever Need. What do two goats and a car have to do with making good decisions? Was the golden ratio used to build the Great Pyramid of Khufu? Can it be that some numbers are unmistakably "hot," while others are inherently "cool"? With his infectiously enthusiastic and engaging style, award-winning teacher and author Sherman K. Stein offers a new appreciation for mathematics, from the beauty of its logic ("as inevitable and memorable as a Mozart symphony") to its amazing power and pervasiveness in our lives. Requiring no math knowledge beyond basic arithmetic and high school geometry, Strength in Numbers is an enlightening introduction to all the math you'll ever need.
History Of Mathematics
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Author : Craig Smorynski
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-03
History Of Mathematics written by Craig Smorynski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-03 with Mathematics categories.
General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.
What Is Mathematics
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Author : Richard Courant
language : en
Publisher: Oxford University Press, USA
Release Date : 1996
What Is Mathematics written by Richard Courant and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Juvenile Nonfiction categories.
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.
Doing Mathematics
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Author : Martin H. Krieger
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015
Doing Mathematics written by Martin H. Krieger and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics -- what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see "an identity in a manifold presentation of profiles," as the phenomenologists would say. This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an "ugly" first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painlevé transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude.