Mathematical Cranks

Mathematical Cranks PDF Author: Underwood Dudley
Publisher: American Mathematical Soc.
ISBN: 1470451700
Category : Mathematics
Languages : en
Pages : 372

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Book Description
A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American Revolution ruled by the number 57; people who have in common eccentric mathematical views, some mild (thinking we should count by 12s instead of 10s), some bizarre (thinking that second-order differential equations will solve all problems of economics, politics and philosophy). This is a truly uniqu.

Mathematical Cranks

Mathematical Cranks PDF Author: Underwood Dudley
Publisher: American Mathematical Soc.
ISBN: 1470451700
Category : Mathematics
Languages : en
Pages : 372

Get Book Here

Book Description
A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American Revolution ruled by the number 57; people who have in common eccentric mathematical views, some mild (thinking we should count by 12s instead of 10s), some bizarre (thinking that second-order differential equations will solve all problems of economics, politics and philosophy). This is a truly uniqu.

The Trisectors

The Trisectors PDF Author: Underwood Dudley
Publisher: American Mathematical Soc.
ISBN: 1470451719
Category : Mathematics
Languages : en
Pages : 184

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Book Description
Underwood Dudley is well known for his collection of books on mathematical cranks. Here he offers yet another--angle trisectors. It is impossible to trisect angles with straightedge and compass alone, but many people try and think they have succeeded. This book is about angle trisections and the people who attempt them. According to Dudley: ""Hardly any mathematical training is necessary to read this book. There is a little trigonometry here and there, but it may be safely skipped. There are hardly any equations. There are no exercises and there will be no final examination. The worst victim o.

The Mathematics of Diffusion

The Mathematics of Diffusion PDF Author: John Crank
Publisher: Oxford University Press
ISBN: 9780198534112
Category : Mathematics
Languages : en
Pages : 428

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Book Description
Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.

Calculus for Cranks

Calculus for Cranks PDF Author: Nets Hawk Katz
Publisher: Yale University Press
ISBN: 0300242794
Category : Calculus
Languages : en
Pages : 262

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Book Description
A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech In mathematics, "cranks" are people who insist they understand something new about math even when the world tells them they are doing it wrong. This introduction to calculus is written with those cranks in mind, based on the foundational course that Nets Katz teaches at Caltech. It emphasizes the practical purposes of the foundations, such as tracking errors in calculations. In addition to covering the basics of single variable calculus, the book outlines the mathematical method--the ability to express oneself with absolute precision and then to use logical proofs to establish that certain statements are universally true. Katz emphasizes conceptual clarity, as well as testing hypotheses and writing complete proofs. The result is a rigorous calculus book of use not only to future mathematicians but also to scientists and engineers.

Mathematical Treks: From Surreal Numbers to Magic Circles

Mathematical Treks: From Surreal Numbers to Magic Circles PDF Author: Ivars Peterson
Publisher: American Mathematical Soc.
ISBN: 1470458519
Category : Mathematics
Languages : en
Pages : 170

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Book Description


Calculus for Cranks

Calculus for Cranks PDF Author: Nets Hawk Katz
Publisher: Yale University Press
ISBN: 0300256124
Category : Mathematics
Languages : en
Pages : 262

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Book Description
A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech In mathematics, “cranks” are people who insist they understand something new about math even when the world tells them they are doing it wrong. This introduction to calculus is written with those cranks in mind, based on the foundational course that Nets Katz teaches at Caltech. It emphasizes the practical purposes of the foundations, such as tracking errors in calculations. In addition to covering the basics of single variable calculus, the book outlines the mathematical method—the ability to express oneself with absolute precision and then to use logical proofs to establish that certain statements are universally true. Katz emphasizes conceptual clarity, as well as testing hypotheses and writing complete proofs. The result is a rigorous calculus book of use not only to future mathematicians but also to scientists and engineers.

The New York Times Book of Mathematics

The New York Times Book of Mathematics PDF Author: Gina Kolata
Publisher: Union Square + ORM
ISBN: 1402793286
Category : Mathematics
Languages : en
Pages : 531

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Book Description
“Some of the pieces included here are important and some are curiosities, but all are absorbing . . . Recommended for casual and serious math enthusiasts.” —Library Journal From the archives of the world’s most famous newspaper comes a collection of its very best writing on mathematics. Big and informative, The New York Times Book of Mathematics gathers more than 110 articles written from 1892 to 2010 that cover statistics, coincidences, chaos theory, famous problems, cryptography, computers, and many other topics. Edited by Pulitzer Prize finalist and senior Times writer Gina Kolata, and featuring renowned contributors such as James Gleick, William L. Laurence, Malcolm W. Browne, George Johnson, and John Markoff, it’s a must-have for any math and science enthusiast. “Many fascinating problems are explained in language that the layperson will understand . . . This compilation of real-world applications will interest those with an inclination toward mathematics or problem-solving.” —Publishers Weekly

Elementary Number Theory

Elementary Number Theory PDF Author: Underwood Dudley
Publisher: Courier Corporation
ISBN: 0486134873
Category : Mathematics
Languages : en
Pages : 274

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Book Description
Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition.

Comparison Theorems in Riemannian Geometry

Comparison Theorems in Riemannian Geometry PDF Author: Jeff Cheeger
Publisher: Newnes
ISBN: 0444107649
Category : Computers
Languages : en
Pages : 183

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Book Description
Comparison Theorems in Riemannian Geometry

The Mathematical Experience, Study Edition

The Mathematical Experience, Study Edition PDF Author: Philip Davis
Publisher: Springer Science & Business Media
ISBN: 0817682945
Category : Mathematics
Languages : en
Pages : 522

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Book Description
Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.