The story of mathematics
著者
書誌事項
The story of mathematics
Plenum Press, c1993
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注記
Bibliography: p. 337-338
Includes index
内容説明・目次
内容説明
This is a study of "the development of mathematics from the early Greeks to the present. The presentation is both chronological and topical, showing subdivisions of mathematics and their development and maturation. Each chapter [includes] ...accounts of mathematicians and their contributions. " (Choice). How did Archimedes raise the water level of the Nile River? Why did Catherine the Great and Euler conspire to banish Diderot from the Russian Court? Learn about Descartes' military career as well as his discovery of analytic geometry. Explore both the lives and remarkable careers of history's greatest mathematical legends. In the tradition of their acclaimed The Story of Physics, two renowned science writers - Lloyd Motz and Jefferson Hane Weaver - present a sweeping narrative that spans the glorious history of mathematics and paints vivid sketches of the most famous and prominent mathematicians through the centuries. These respected authors lead us from the birth of arithmetic through calculus and beyond. They delve into the intriguing theory of numbers, explore the challenges of probability theory, and reveal the wonders of the theory of relativity.
The quest to impose a basic mathematical order on our daily lives began with the early Greeks and Alexandrians. In exciting and accessible prose, we rediscover the insights of the great mathematical minds beginning in antiquity with Euclid, through the mystical teachings of Pythagoras, and continuing with later geniuses such as Newton, Gauss, and Euler. The courage and daring of these innovative thinkers revolutionized our world and conferred an order and predictability to the universe. What is remarkable throughout this journey is how inextricably mathematics and physics are intertwined. Each subject depends upon and encourages the development of the other. Together they form a tapestry of knowledge that surpasses what either field could ever accomplish alone. What is the future of mathematics? Can it ever hope to achieve the heights it once reached during the Golden Age of Mathematics? Motz and Weaver successfully illustrate how the torch of knowledge and discovery can be passed on to a new, brilliant generation of mathematicians.
目次
- Mathematics and Mind: The Early Greeks and Alexandrians
- The Origins of Arithmetic
- The Origin of Abstract Mathematics: The Beginnings of Algebra
- From Geometry to Trigonometry
- Analytic Geometry: The Geometrization of Arithmetic and Algebra
- The Birth of the Calculus
- Post-Newtonian Mathematics
- The Golden Age of Mathematics
- The End of the Golden Age of Mathematics
- The Beginning of Modern Mathematics
- Modern Mathematics and the New Physics
- The Evolution of Modern Mathematics
- Whither Mathematics?
- Bibliography
- Index
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