Catalogue


Euler : the master of us all /
William Dunham.
imprint
[Washington, D.C.] : Mathematical Association of America, c1999.
description
xxviii, 185 p. : ill. ; 23 cm.
ISBN
0883853280
format(s)
Book
Holdings
More Details
imprint
[Washington, D.C.] : Mathematical Association of America, c1999.
isbn
0883853280
catalogue key
2958452
 
Includes bibliographical references and index.
A Look Inside
Full Text Reviews
Appeared in Choice on 1999-09:
"Mediocrity knows nothing higher than itself; but talent instantly recognizes genius . . . ," wrote Arthur Conan Doyle, to which should be added that the fostering of talent always requires exposure to genius. Now Leonhard Euler (1707-83), history's most prolific mathematician, certainly also ranks as one of its supreme geniuses. Mathematics students regularly encounter Euler's ideas throughout the curriculum--in geometry, calculus, number theory, topology, differential equations--but usually in isolation. To measure the ingenuity underlying the ideas requires historical context, the peeling off of layers of later developments that obscure the intellectual drama. Dunham gives us an integrated portrait of the entire scientific personality, albeit focusing only on some of Euler's contributions to pure mathematics--certainly no author could do full justice to Euler's 72-volume Opera Omnia in just under two hundred pages! Still, he has Euler dazzling us with cleverness, page after page. Such a book ought to blossom into a series with similar profiles of, say, Archimedes, Newton, Bernoulli, Fermat, Gauss, Poincare, and Hilbert, not to mention at least a second volume on Euler to show us further perspectives on his achievement. An ideal book for enlivening undergraduate mathematics. D. V. Feldman; University of New Hampshire
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This item was reviewed in:
Choice, September 1999
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Summaries
Bowker Data Service Summary
Leonhard Euler was one of the most prolific mathematicians of all time. This book examines the large scope of mathematical areas explored and developed by Euler, including number theory, combinatorics, geometry, and complex variables.
Description for Bookstore
Leonhard Euler was one of the most prolific and wide ranging mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more.
Main Description
Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.
Table of Contents
Introduction
Biographical sketch
Euler and number theory
Euler and 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 - Opera Omnia
Table of Contents provided by Publisher. All Rights Reserved.

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