| 作者简介 William Dunham, who received his B.S. (1969) from the University of Pittsburgh and his M.S. (1970) and Ph.D.(1974) from The Ohio State University, is the Truman Koehler Professor of Mathematics at Muhlenberg College. Originally trained in general topology, Dunham became interested in the history of mathematics and, over the years, has spoken on historical topics at scores of U.S. colleges and universities, as well as at national and regional mathematics meetings. Between 1988 and 1996, he directed five NEH-funded seminars on math history at Ohio State, and he has appeared at the Smithsonian Institution, on NPR s Talk of the Nation: Science Friday, and on the BBC. Dunham is the author of four books Journey Through Genius: The Great Theorems of Mathematics (Wiley, 1990), The Mathematical Universe (Wiley, 1994), Euler: The Master of Us All (MAA, 1999), and The Calculus Gallery: Masterpieces from Newton to Lebesgue (Princeton, 2005). His expository writing has been recognized by the MAA with its George Pólya Award in 1992, Trevor Evans Award in 1997, and Lester Ford Award in 2006. The Association of American Publishers designated The Mathematical Universe as the Best Mathematics Book of 1994. |
| Acknowledgments Preface About the Authors 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）, Ande 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 I1: 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. Barbea（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） 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 Po1ya （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） Glossary List of Photos Index About the Editor |
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