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 xi
... Dunham and Ruth and Bob Evans , all of whom have been steadfast in their support . And there are our sons Brendan and Shannon , who remain the greatest . Finally , and most sincerely , I wish to recognize xi Acknowledgments.
... Dunham and Ruth and Bob Evans , all of whom have been steadfast in their support . And there are our sons Brendan and Shannon , who remain the greatest . Finally , and most sincerely , I wish to recognize xi Acknowledgments.
Page xviii
... remain of the highest order , and his impact upon mathematics is everywhere evident . No matter their speciality , mathematicians of today may truly say of Euler what was once said of Wren : “ If you seek his monument , look around ...
... remain of the highest order , and his impact upon mathematics is everywhere evident . No matter their speciality , mathematicians of today may truly say of Euler what was once said of Wren : “ If you seek his monument , look around ...
Page xxv
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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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