Pierre-Simon Laplace, 1749-1827: A Life in Exact Science

Pierre-Simon Laplace, 1749-1827: A Life in Exact Science

by Charles Coulston Gillispie
Pierre-Simon Laplace, 1749-1827: A Life in Exact Science

Pierre-Simon Laplace, 1749-1827: A Life in Exact Science

by Charles Coulston Gillispie

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Overview

Pierre-Simon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science, for the philosophical point of view he developed in the presentation of his work, and for the leading part he took in forming the modern discipline of mathematical physics. His two most famous treatises were the five-volume Traité de mécanique céleste (1799-1825) and Théorie analytique des probabilités (1812). In the former he demonstrated mathematically the stability of the solar system in service to the universal Newtonian law of gravity. In the latter he developed probability from a set of miscellaneous problems concerning games, averages, mortality, and insurance risks into the branch of mathematics that permitted the quantification of estimates of error and the drawing of statistical inferences, wherever data warranted, in social, medical, and juridical matters, as well as in the physical sciences.


This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution. A scientific biography by Charles Gillispie comprises the major portion of the book. Robert Fox contributes an account of Laplace's attempt to form a school of young physicists who would extend the Newtonian model from astronomy to physics, and Ivor Grattan-Guinness summarizes the history of the scientist's most important single mathematical contribution, the Laplace Transform.


Product Details

ISBN-13: 9780691050270
Publisher: Princeton University Press
Publication date: 02/27/2000
Pages: 336
Product dimensions: 7.75(w) x 10.00(h) x (d)

About the Author

Charles Coulston Gillispie is Dayton-Stockton Professor of History Emeritus at Princeton University, where he founded the Program in History of Science in 1960. He is the author or numerous books, including The Edge of Objectivity (Princeton). He is the editor of the sixteen-volume Dictionary of Scientific Biography. Robert Fox is Professor of History of Science at the University of Oxford. Ivor Grattan-Guinness is Professor of the History of Mathmatics and Logic at Middlesex Polytechnic University in London.

Table of Contents

Preface
Acknowledgments
Pt. IEarly Career, 1768-1778
Ch. 1Youth, Education, and Election to the Academy3
Ch. 2Finite Differences, Recurrent Series, and Theory of Chance7
Ch. 3Probability of Events and of Their Causes: The Origin of Statistical Inference13
Ch. 4Universal Gravitation29
Ch. 5Distribution of Comets38
Ch. 6Partial Differential Equations, Determinants, and Variation of Constants44
Ch. 7The Figure of the Earth and the Motion of the Seas51
Pt. IILaplace in his Prime, 1778-1789
Ch. 8Influence and Reputation67
Ch. 9Variation of Constants, Differential Operators70
Ch. 10Probability Matured72
Ch. 11Generating Functions and Definite Integrals86
Ch. 12Population93
Ch. 13Determination of the Orbits of Comets96
Ch. 14Lavoisier and Laplace: Chemical Physics of Heat101
Ch. 15Attraction of Spheroids109
Ch. 16Planetary Astronomy124
Pt. IIISynthesis and Scientific Statesmanship
Ch. 17The Revolution and the Metric System149
Ch. 18Scientific Work in the Early Revolution156
Ch. 19Exposition du systeme du monde166
Ch. 20A Scientific Eminence176
Ch. 21Traite de mecanique celeste184
Pt. IVLaplacian Physics and Probability
Ch. 22The Velocity of Sound199
Ch. 23Short-Range Forces203
Ch. 24The Laplacian School209
Ch. 25Theory of Error216
Ch. 26Probability: Theorie analytique and Essai philosophique224
Ch. 27Loss of Influence243
Ch. 28The Last Analysis250
Pt. VThe Laplace Transform
Ch. 29Laplace's Integral Solutions to Partial Differential Equations259
Conclusion271
Abbreviations280
Bibliography281
Index319

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