An episodic history of mathematics mathematical culture through problem solving /
"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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| 共著者: | , |
| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
[Washington, D.C.] :
Mathematical Association of America,
c2010.
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| シリーズ: | MAA textbooks
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| 主題: | |
| オンライン･アクセス: | An electronic book accessible through the World Wide Web; click to view |
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目次:
- 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.