Leonhard Euler :Life, Work and Legacy ( Volume 5 )

Publication subTitle :Life, Work and Legacy

Publication series :Volume 5

Author: Bradley   Robert E.;Sandifer   Ed  

Publisher: Elsevier Science‎

Publication year: 2007

E-ISBN: 9780080471297

P-ISBN(Paperback): 9780444527288

P-ISBN(Hardback):  9780444527288

Subject: O1 Mathematics

Language: ENG

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Description

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

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Foreword

pp.:  6 – 10

Table of Contents

pp.:  8 – 6

Chapter 1 Introduction

pp.:  10 – 14

Chapter 3 Leonhard Euler and Russia

pp.:  70 – 84

Chapter 4 Princess Dashkova, Euler, and the Russian Academy of Sciences

pp.:  84 – 106

Chapter 5 Leonhard Euler and Philosophy

pp.:  106 – 118

Chapter 6 Images of Euler

pp.:  118 – 130

Chapter 7 Euler and Applications of Analytical Mathematics to Astronomy

pp.:  130 – 156

Chapter 8 Euler and Indian Astronomy

pp.:  156 – 176

Chapter 9 Euler and Kinematics

pp.:  176 – 204

Chapter 10 Euler on Rigid Bodies

pp.:  204 – 222

Chapter 11 Euler’s Analysis Textbooks

pp.:  222 – 244

Chapter 12 Euler and the Calculus of Variations

pp.:  244 – 264

Chapter 13 Euler, D’Alembert and the Logarithm Function

pp.:  264 – 288

Chapter 14 Some Facets of Euler’s Work on Series

pp.:  288 – 312

Chapter 15 The Geometry of Leonhard Euler

pp.:  312 – 332

Chapter 16 Cyclotomy: From Euler through Vandermonde to Gauss

pp.:  332 – 372

Chapter 17 Euler and Number Theory: A Study in Mathematical Invention

pp.:  372 – 394

Chapter 18 Euler and Lotteries

pp.:  394 – 404

Chapter 19 Euler’s Science of Combinations

pp.:  404 – 418

Chapter 20 The Truth about Konigsberg

pp.:  418 – 430

Chapter 21 The Polyhedral Formula

pp.:  430 – 450

Chapter 22 On the Recognition of Euler among the French, 1790 - 1830

pp.:  450 – 468

Chapter 23 Euler’s Influence on the Birth of Vector Mechanics

pp.:  468 – 488

Chapter 24 Euler’s Contribution to Differential Geometry and its Reception

pp.:  488 – 512

Chapter 25 Euler’s Mechanics as a Foundation of Quantum Mechanics

pp.:  512 – 536

Index

pp.:  536 – 544

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