This revised and greatly expanded second edition of the Russian text Tales of Mathematicians and Physicists contains a wealth of new information about the lives and accomplishments of more than a dozen scientists throughout five centuries of history: from the first steps in algebra up to new achievements in geometry in connection with physics. The heroes of the book are renowned figures from early eras, such as Cardano, Galileo, Huygens, Leibniz, Pascal, Euler, Lagrange, and Laplace, as well some scientists of last century: Klein, Poincaré, and Ramanujan.
A unique mixture of mathematics, physics, and history, this volume provides biographical glimpses of scientists and their contributions in the context of the social and political background of their times. The author examines many original sources, from the scientists’ research papers to their personal documents and letters to friends and family; furthermore, detailed mathematical arguments and diagrams are supplied to help explain some of the most significant discoveries in calculus, celestial mechanics, number theory, and mathematical physics. What emerges are intriguing, multifaceted studies of a number of remarkable intellectuals and their scientific legacy.
Written by a distinguished mathematician and accessible to readers at all levels, this book is a wonderful resource for both students and teachers and a welcome introduction to the history of science.
สารบัญ
Ars Magna (The Great Art).- Two Tales of Galileo.- Christiaan Huygens and Pendulum Clocks.- Secrets of the Cycloid.- Blaise Pascal.- The Beginnings of Higher Geometry.- Leonhard Euler.- Joseph Louis Lagrange.- Pierre-Simon Laplace.- Prince of Mathematicians.- Felix Klein.- The Magic World of Henri Poincaré.- The Enigma of Ramanujan.- On the Advantages of Coordinates and the Art of Chaining Hyperboloids.- The Complex World of Roger Penrose.
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