The Genius of Euler

Reflections on His Life and Work

William Dunham

308 pages, parution le 15/03/2007

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Résumé

The MAA Tercentenary Euler Celebration

This book celebrates the 300th birthday of Leonhard Euler (1707 - 1783), one of the brightest stars in the mathematical firmament. The book stands as a testimonial to a mathematician of unsurpassed insight, industry, and ingenuity--one who has been rightly called "the master of us all." 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. Along the way, the reader will encounter the Königsberg bridges, the 36-officers, Euler's constant, and the zeta function. There are papers on Euler's number theory, his calculus of variations, and his polyhedral formula. Of special note are the number and quality of authors represented here. 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.

L'auteur - William Dunham

William Dunham is the Truman Koehler Professor of Mathematics at Muhlenberg College in Allentown, Pennsylvania. He has won two awards for excellence in expository writing from The Mathematical Association of America: the 1993 George Polya Award, and in 1997, the Trevor Evans Award. His books journey Through Genius: The Great Theorems of Mathematics, and The Mathematical Universe have both been selections of the Book-of-the-Month Club and the History Book Club. He has also been the recipient of several grants from the National Endowment for the Humanities to fund seminars on the great theorems of mathematics in listorical context.

Sommaire

Part I: Biography and Background
- Introduction to Part I
- Leonhard Euler, B. F. Finkel (1897
- Leonard Euler, Supreme Geometer (abridged), C. Truesdell (1972
- Euler (abridged), André Weil (1984)
- Frederick the Great on Mathematics and Mathematicians (abridged), Florian Cajori (1927)
- The Euler-Diderot Anecdote, B. H. Brown (1942)
- Ars Expositionis: Euler as Writer and Teacher, G. L. Alexanderson (1983)
- The Foremost Textbook of Modern Times, C. B. Boyer (1951)
- Leonhard Euler, 1707--1783, J. J. Burckhardt (1983)
- Euler's Output, A Historical Note, W. W. R. Ball (1924)
- Discoveries (a poem), Marta Sved and Dave Logothetti (1989)
- Bell's Conjecture (a poem), J. D. Memory (1997)
- A Response to "Bell's Conjecture" (a poem), Charlie Marion and William Dunham (1997)
Part II: Mathematics
- Introduction to Part 2
- Euler and Infinite Series, Morris Kline (1983)
- Euler and the Zeta Function, Raymond Ayoub (1974)
- Addendum to: "Euler and the Zeta Function," A. G. Howson (1975)
- Euler Subdues a Very Obstreperous Series} (abridged), E. J. Barbeau (1979)
- On the History of Euler's Constant, J. W. L. Glaisher (1872)
- A Mnemonic for Euler's Constant}, Morgan Ward (1931)
- Euler and Differentials}, Anthony P. Ferzola (1994)
- Leonhard Euler's Integral: A Historical Profile of the Gamma Function, Philip J. Davis (1959)
- Change of Variables in Multiple Integrals: Euler to Cartan}, Victor J. Katz (1982)
- Euler's Vision of a General Partial Differential Calculus for a Generalized Kind of Function, Jesper Lutzen (1983)
- On the Calculus of Variations and Its Major Influences on the Mathematics ofthe First Half of Our Century, Erwin Kreyszig (1994)
- Some Remarks and Problems in Number Theory Related to the Work of Euler, Paul Erdos and Underwood Dudley (1983)
- Euler's Pentagonal Number Theorem, George E. Andrews (1983)
- Euler and Quadratic Reciprocity, Harold M. Edwards (1983)
- Euler and the Fundamental Theorem of Algebra, William Dunham (1991)
- Guessing and Proving}, George Polya (1978)
- The Truth about Konigsberg, Brian Hopkins and Robin J. Wilson (2004)
- Graeco-Latin Squares and a Mistaken Conjecture of Euler, Dominic Klyve and Lee Stemkoski (2006)

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Caractéristiques techniques

	PAPIER
Éditeur(s)	The Mathematical Association of America (MAA)
Auteur(s)	William Dunham
Parution	15/03/2007
Nb. de pages	308
Format	19 x 26
Couverture	Broché
Poids	840g
Intérieur	Noir et Blanc
EAN13	9780883855584
ISBN13	978-0-88385-558-4