Euler: The Master of Us AllAmerican Mathematical Soc., 2020 M07 29 - 185 pages Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2008! 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. |
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Page xvi
... simple : I focus each chapter upon a subject to which Euler made a significant contribution . Chapters begin with a discussion of what was known prior to Euler ; this provides an opportunity to 2 Raymond Ayoub , “ Euler and the Zeta ...
... simple : I focus each chapter upon a subject to which Euler made a significant contribution . Chapters begin with a discussion of what was known prior to Euler ; this provides an opportunity to 2 Raymond Ayoub , “ Euler and the Zeta ...
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Contents
1 Euler and Number Theory | 1 |
2 Euler and Logarithms | 17 |
3 Euler and Infinite Series | 39 |
4 Euler and Analytic Number Theory | 61 |
5 Euler and Complex Variables | 81 |
6 Euler and Algebra | 103 |
7 Euler and Geometry | 125 |
8 Euler and Combinatorics | 149 |
Conclusion | 171 |
Eulers Opera Omnia | 175 |
Index | 181 |
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Common terms and phrases
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