William Dunham (ed.)

The Genius of Euler

Reflections on His Life and Work
Herausgeber: Dunham, William

• Gebundenes Buch

Produktbeschreibung

Celebrating the 300th birthday of Leonhard Euler (1707–1783), one of the brightest stars in the mathematical firmament, this book stands as a testimonial to a mathematician of unsurpassed insight, industry, and ingenuity. The collected articles, aimed at a mathematically literate audience, address aspects of Euler's life and work, from the biographical to the historical to the mathematical. The oldest of these was written in 1872, and the most recent dates to 2006. Some of the papers focus on Euler and his world, others describe a specific Eulerian achievement, and still others survey a branch of mathematics to which Euler contributed significantly. Among the 34 contributors are some of the most illustrious mathematicians and mathematics historians of the past century, e.g. Florian Cajori, Carl Boyer, George Pólya, Andre Weil, and Paul Erdös. And there are a few poems and a mnemonic just for fun.

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Produktdetails

• Verlag: Mathematical Association of America (MAA)
• Seitenzahl: 326
• Erscheinungstermin: 15. März 2007
• Englisch
• Abmessung: 264mm x 184mm x 29mm
• Gewicht: 913g
• ISBN-13: 9780883855584
• ISBN-10: 0883855585
• Artikelnr.: 22588818

Inhaltsangabe

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.