Limit search to available items
Book Cover
E-book
Author Krantz, Steven G. (Steven George), 1951-

Title An episodic history of mathematics : mathematical culture through problem solving / Steven G. Krantz
Published [Washington, DC] : Mathematical Association of America, ©2010

Copies

Description 1 online resource (xiii, 381 pages) : illustrations
Series MAA textbooks
MAA textbooks.
Contents 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
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 Includes bibliographical references (pages 365-369) and index
Notes Print version record
Subject Mathematics -- History -- Study and teaching (Higher)
Mathematics -- Problems, exercises, etc.
Mathematics -- Study and teaching (Higher)
Mathematicians.
mathematicians.
MATHEMATICS -- History & Philosophy.
Mathematicians
Mathematics
Mathematics -- Study and teaching (Higher)
Wiskunde.
Wiskundigen.
Genre/Form exercise books.
History
Problems and exercises
Problems and exercises.
Problèmes et exercices.
Form Electronic book
Author Mathematical Association of America.
ISBN 9781614446057
1614446059