Euler: The Master of Us All

Front Cover
American Mathematical Soc., Jul 31, 2020 - Education - 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

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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