UID:
almahu_9947367622302882
Format:
1 online resource (543 p.)
ISBN:
1-280-96267-4
,
9786610962679
,
0-08-047129-3
Series Statement:
Studies in the history and philosophy of mathematics ; v. 5
Content:
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 math
Note:
Includes index.
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Front Cover; Leonhard Euler: Life, Work and Legacy; Copyright Page; Table of Contents; Foreword; Chapter 1 Introduction; Chapter 2 Leonhard Euler: Life and Thought; 1. Lineage, Youth, and Formal Education; 2. Into the Colossus of the North: The Groundwork of Euler's Research; 3. In Frederician Berlin: At the Apex of His Career; 4. During the Reign of Catherine the Great: The Second St. Petersburg Years; Acknowledgments; References; Chapter 3 Leonhard Euler and Russia; 1. Introduction; 2. The First Petersburg Period; 3. The Berlin Period; 4. The Second Petersburg Period; 5. Euler's Legacy
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6. ConclusionChapter 4 Princess Dashkova, Euler, and the Russian Academy of Sciences; 1. Princess Dashkova: Life in Brief to 1783; 2. Academic Governance: Euler, Orlov, and Domashnev; 3. Princess Dashkova as Imperial Academy Director; Acknowledgements; Chapter 5 Leonhard Euler and Philosophy; Chapter 6 Images of Euler; 1. Introduction; 2. Maria Sibylla Merian; 3. Sokolov's mezzotint of Euler; 4. Handmann's Pastel Painting of 1753; 5. Handmann's oil painting of 1756; 6. Handmann's large oil painting of 1756 (?); 7. Darbes' Painting of 1778; 8. Further Study
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Chapter 7 Euler and Applications of Analytical Mathematics to AstronomyIntroduction; 1. Euler's first lunar tables, 1746; 2. Mutual perturbations of Jupiter and Saturn, 1748; 3. The precession of the Equinoxes and the mechanics of rigid bodies, 1751-1765; 4. The inverse-square law and the motion of the lunar apse; 5. Euler's later thoughts on celestial mechanics; his Third Lunar Theory; Chapter 8 Euler and Indian Astronomy; 1. Introduction: Indian astronomy in the Enlightenment; 2. T. S. Bayer and his work; 3. Euler and Bayer
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4. Indian calendrical methods and their representation in the appendices to Bayer's Historia5. Euler's interpretations in the "De Indorum anno"; 6. The impact of Euler's work; References; Chapter 9 Euler and Kinematics; 1. Introduction; 2. Euler and instantaneous planar kinematics; 3. Euler, acceleration, spherical and spatial kinematics; 4. Final remarks; Chapter 10 Euler on Rigid Bodies; 1. Introduction; 2. Cancellation of forces; 3. An Error of Euler on Rigid Bodies; References; Chapter 11 Euler's Analysis Textbooks; 1. Introduction to Analysis of the Infinite
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2. Basic Principles of the Differential Calculus3. Basic Principles of the Integral Calculus; 4. Conclusions; References; Chapter 12 Euler and the Calculus of Variations; 1. Expository remarks; 2. Prehistory; 3. General remarks on Euler's work; 4. First period; 5. Second period; 6. Third period; References; Chapter 13 Euler, D'Alembert and the Logarithm Function; 1. Introduction; 2. Euler and D'Alembert; 3. A History of the Logarithm Function; 4. The Introductio; 5. The Debate between Euler and d'Alembert; 6. Euler's First Memoir; 7. Euler's Second Memoir; 8. Conclusion: D'Alembert's Memoir
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Acknowledgement
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English
Additional Edition:
ISBN 0-444-52728-1
Language:
English
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