Euler: The Master of Us All, Volume 22

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Cambridge 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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