An episodic history of mathematics [electronic resource] : mathematical culture through problem solving / Steven G. Krantz.
Krantz, Steven G. (Steven George), 1951-; Mathematical Association of America.
2010
QA21 .K72 2010eb
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Title An episodic history of mathematics [electronic resource] : mathematical culture through problem solving / Steven G. Krantz.
Author Krantz, Steven G. (Steven George), 1951-
ISBN 0883857669
9780883857663
9781614446057 (electronic bk.)
Imprint [Washington, D.C.] : Mathematical Association of America, c2010.
Language English
Description xiii, 381 p. : ill.
Call Number QA21 .K72 2010eb
Dewey Decimal Classification 510.9
Summary "An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises. It introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing - getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject. It recounts the history of mathematics; offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics; and includes exercises to help readers engage with the text and gain a deeper understanding of the material."--Publisher's description.
Bibliography, etc. Note Includes bibliographical references (p. 365-369) and index.
Access Note Access limited to authorized users.
Added Corporate Author Mathematical Association of America.
Series MAA textbooks
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The ancient Greeks and the foundations of mathematics
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
René Descartes and the idea of coordinates
Pierre de Fermat and the invention of differential calculus
The great Isaac Newton
The complex numbers and the fundamental theorem of algebra
Carl Friedrich Gauss: the prince of mathematics
Sophie Germain and the attack on Fermat's last problem
Cauchy and the foundations of analysis
The prime numbers
Dirichlet and how to count
Bernhard Riemann and the geometry of surfaces
Georg Cantor and the orders of infinity
The number systems
Henri Poincaré, child phenomenon
Sonya Kovalevskaya and the mathematics of mechanics
Emmy Noether and algebra
Methods of proof
Alan Turing and cryptography.

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