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Mathematical Association of America Textbooks : An Episodic History of Mathematics: Mathematical Culture through Problem Solving - Steven G. Krantz

Mathematical Association of America Textbooks

An Episodic History of Mathematics: Mathematical Culture through Problem Solving

Hardcover Published: 22nd March 2010
ISBN: 9780883857663
Number Of Pages: 396

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An Episodic History of Mathematics will acquaint students and readers with mathematical language, thought, and mathematical life by means of historically important mathematical vignettes. It will also serve to help prospective teachers become more familiar with important ideas of in the history of mathematics-both classical and modern.Contained within are wonderful and engaging stories and anecdotes about Pythagoras and Galois and Cantor and Poincar‚, which let readers indulge themselves in whimsy, gossip, and learning. The mathematicians treated here were complex individuals who led colorful and fascinating lives, and did fascinating mathematics. They remain interesting to us as people and as scientists.This history of mathematics is also an opportunity to have some fun because the focus in this text is also on the practical-getting involved with the mathematics and solving problems. This book is unabashedly mathematical. In the course of reading this book, the neophyte will become involved with mathematics by working on the same problems that, for instance, Zeno and Pythagoras and Descartes and Fermat and Riemann worked on.This is a book to be read, therefore, with pencil and paper in hand, and a calculator or computer close by. All will want to experiment; to try things; and become a part of the mathematical process.

Preface
The Ancient Greeks
Zeno's Paradox and the concept of limit
The mystical mathematics of Hypatia
The Islamic world and the development of algebra
Cardano, Abel, Galois, and the solving of equations
Rene Descartes and the idea of coordinates
The invention of differential calculus
The great Isaac Newton
Complex numbers and polynomials
The prince of mathematics
Sophie Germain and Fermat's Problem
Cauchy and the foundations of analysis
The prime numbers
Dirichlet and how to count
Riemann and the geometry of surfaces
Georg Cantor and the orders of infinity
The natural numbers
Henri Poincaré, child phenomenon
Sonya Kovalevskaya and mechanics
Emmy Noether and algebra
Methods of proof
Alan Turing and cryptography
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780883857663
ISBN-10: 0883857669
Series: Mathematical Association of America Textbooks
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 396
Published: 22nd March 2010
Publisher: Mathematical Association of America
Country of Publication: US
Dimensions (cm): 26.2 x 18.3  x 2.7
Weight (kg): 0.84

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