Leonhard Euler: Life, Work and Legacy (Google eBook)

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Robert E. Bradley, Ed Sandifer
Elsevier, Mar 20, 2007 - Mathematics - 542 pages
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The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work.

Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science.

- Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich
- New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova
- New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century
  

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Contents

Introduction
1
Life and Thought
5
Leonhard Euler and Russia
61
Princess Dashkova Euler and the Russian Academy of Sciences
75
Leonhard Euler and Philosophy
97
Images of Euler
109
Euler and Applications of Analytical Mathematics to Astronomy
121
Euler and Indian Astronomy
147
The Geometry of Leonhard Euler
303
From Euler through Vandermonde to Gauss
323
A Study in Mathematical Invention
363
Euler and Lotteries
385
Eulers Science of Combinations
395
The Truth about Königsberg
409
The Polyhedral Formula
421
On the Recognition of Euler among the French 1790 1830
441

Euler and Kinematics
167
Euler on Rigid Bodies
195
Eulers Analysis Textbooks
213
Euler and the Calculus of Variations
235
Euler DAlembert and the Logarithm Function
255
Some Facets of Eulers Work on Series
279
Eulers Influence on the Birth of Vector Mechanics
459
Eulers Contribution to Differential Geometry and its Reception
479
Eulers Mechanics as a Foundation of Quantum Mechanics
503
Index
527
Copyright

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Page 501 - Mémoire sur les propriétés de plusieurs genres de surfaces courbes, particulièrement sur celles des surfaces développantes, avec une application à la théorie des ombres et des pénombres, par M.

About the author (2007)

Robert E. Bradley is Professor in the Department of Mathematics and Computer Science at Adelphi University in New York. He is President of the Euler Society.

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