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 ix
... Number Theory 2. Euler and Logarithms 3. Euler and Infinite Series 4. Euler and Analytic Number Theory 5. Euler and Complex Variables 6. Euler and Algebra 7. Euler and Geometry 8. Euler and Combinatorics . Conclusion Appendix : Euler's ...
... Number Theory 2. Euler and Logarithms 3. Euler and Infinite Series 4. Euler and Analytic Number Theory 5. Euler and Complex Variables 6. Euler and Algebra 7. Euler and Geometry 8. Euler and Combinatorics . Conclusion Appendix : Euler's ...
Page xv
... number theory , analysis , algebra , and geometry . He also ventured into the largely unexplored territory of analytic number theory , graph theory , and differential geometry . In addition , he was his century's foremost applied ...
... number theory , analysis , algebra , and geometry . He also ventured into the largely unexplored territory of analytic number theory , graph theory , and differential geometry . In addition , he was his century's foremost applied ...
Page xvii
... theorem ” that pushed the frontiers as only he could . In so doing , I pledge to be as faithful as possible in ... number theory , analysis , complex variables , algebra , geometry , and combinatorics — these being but a few of the ...
... theorem ” that pushed the frontiers as only he could . In so doing , I pledge to be as faithful as possible in ... number theory , analysis , complex variables , algebra , geometry , and combinatorics — these being but a few of the ...
Page xxiii
... theory of musical harmony . With the encouragement of his friend Christian Goldbach ( 1690–1764 ) , Euler made seminal discoveries in classical number theory ( see Chapter 1 ) and pushed into the uncharted waters of analytic number theory ...
... theory of musical harmony . With the encouragement of his friend Christian Goldbach ( 1690–1764 ) , Euler made seminal discoveries in classical number theory ( see Chapter 1 ) and pushed into the uncharted waters of analytic number theory ...
Page xxviii
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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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