Résumé
Without question, Leonhard Euler (1707-1783) ranks among history's greatest mathematicians. Across six decades of unmatched productivity, and despite a visual impairment that grew ever worse, he charted the course of mathematics throughout the eighteenth century and beyond. His reputation is captured in Laplace's famous admonition, "Read Eider, read Euler. He is the master of us all."
Written for the mathematically literate reader, this book provides a glimpse of Euler in action. Following an introductory biographical sketch are chapters describing his contributions to eight different topics-number theory, logarithms, infinite series, analytic number theory, complex variables, algebra, geometry, and combinatorics. At the end of the book is a brief outline of Euler's collected works, the monumental Opera Omnia, whose publication has consumed virtually all of the twentieth century.
Euler: The Master of Us All samples the work of a mathematician whose influence, industry, and ingenuity are of the very highest order.
Contents
- Euler and Number Theory
- Eulerand Logarithms
- Euler and Infinite Series
- Euler and Analytic Number Theory
- Euler and Complex Variables
- Euler and Algebra
- Euler and Geometry
- Euler and Combinatorics
- Conclusion
- Appendix: Euler's Opera Omnia
- Index
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.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | The Mathematical Association of America (MAA) |
| Auteur(s) | William Dunham |
| Parution | 01/01/1999 |
| Nb. de pages | 214 |
| Format | 15 x 23 |
| Couverture | Broché |
| Poids | 290g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780883853283 |
| ISBN13 | 978-0-88385-328-3 |
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