Euler: The Master of Us All, Volume 22Cambridge University Press, 1999 M03 4 - 185 pages 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. |
Contents
Euler and Number Theory | 1 |
Euler and Logarithms | 17 |
Euler and Infinite Series | 39 |
Euler and Analytic Number Theory | 61 |
Euler and Complex Variables | 81 |
Euler and Algebra | 103 |
Euler and Geometry | 125 |
Euler and Combinatorics | 149 |
Conclusion | 171 |
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