Table of contents for The genius of Euler : reflections on his life and work / edited by William Dunham.


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Acknowledgments; Preface; About the authors; Part I. Biography and Background: 1. Introduction to Part I; 2. Leonhard Euler B. F. Finkel; 3. Leonhard Euler, supreme geometer (abridged) C. Truesdell; 4. Euler (abridged) André Weil; 5. Frederick the Great on mathematics and mathematicians (abridged) Florian Cajori; 6. The Euler-Diderot anecdote B. H. Brown; 7. Ars expositionis: Euler as writer and teacher G. L. Alexanderson; 8. The foremost textbook of modern times Carl Boyer; 9. Leonhard Euler, 1707–1783 J. J. Burckhardt; 10. Euler’s output, a historical note W. W. Rouse Ball; 11. Discoveries (a poem) Marta Sved and Dave Logothetti; 12. Bell’s conjecture (a poem) J. D. Memory; 13. A response to 'Bell’s conjecture' (a poem) Charlie Marion and William Dunham; Part II. Mathematics: 14. Introduction to Part II; 15. Euler and infinite series Morris Kline; 16. Euler and the zeta function Raymond Ayoub; 17. Addendum to 'Euler and the Zeta Function' A. G. Howson; 18. Euler subdues a very obstreperous series (abridged) E. J. Barbeau; 19. On the history of Euler’s constant J. W. L. Glaisher; 20. A mnemonic for Euler’s constant Morgan Ward; 21. Euler and differentials Anthony Ferzola; 22. Leonhard Euler’s integral: a historical profile of the gamma function Philip Davis; 23. Change of variables in multiple integrals: Euler to Cartan Victor Katz; 24. Euler’s vision of a general partial differential calculus for a generalized kind of function Jesper Lützen; 25. On the calculus of variations and its major influences on the mathematics of the first half of our century Erwin Kreyszig; 26. Some remarks and problems in number theory related to the work of Euler Paul Erdös and Underwood Dudley; 27. Euler’s pentagonal number theorem George Andrews; 28. Euler and quadratic reciprocity Harold Edwards; 29. Euler and the fundamental theorem of algebra William Dunham; 30. Guessing and proving George Pólya; 31. The truth about Königsberg Brian Hopkins and Robin Wilson; 32. Graeco-Latin squares and a mistaken conjecture of Euler Dominic Klyve and Lee Stemkoski; Glossary Schattschneider et. al.; About the editor.


Library of Congress subject headings for this publication:
Euler, Leonhard, -- 1707-1783.
Mathematicians -- Switzerland -- Biography.
Mathematics -- History -- 18th century.