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An episodic history of mathematics mathematical culture through problem solving /

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"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 exercis...

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Bibliographic Details
Main Author: Krantz, Steven G. (Steven George), 1951-
Corporate Authors: Mathematical Association of America, ebrary, Inc
Format: Electronic eBook
Language:English
Published: [Washington, D.C.] : Mathematical Association of America, c2010.
Series:MAA textbooks
Subjects:
Mathematics > History > Study and teaching (Higher)
Mathematics > Problems, exercises, etc.
Mathematics > Study and teaching (Higher)
Mathematicians.
Electronic books.
Online Access:An electronic book accessible through the World Wide Web; click to view
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Table of 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.

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