Euler: The Master of Us All, Volume 22Cambridge University Press, 4 mars 1999 - 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. |
Table des matières
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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Expressions et termes fréquents
a²)² analytic number theory argument Basel Problem Book Bx² calculus Cardano's Cardano's formula centroid century chapter circumcenter coefficients combinatorics complex numbers conclude consider cosine course depressed cubic depressed quartic differential diverges doughnuts epilogue equation Euclid Euler line expression Figure finite follows function fundamental theorem geometric series harmonic series Heron's formula Ibid imaginary numbers In(n infinite series infinitely small instance integral Introductio Introduction to Analysis Jakob Bernoulli Johann Bernoulli Leibniz Leonhard Euler letter linear logarithms mathematicians mathematics modern multiplication notation odd number odd perfect number Opera Omnia orthocenter paper partitions perfect square permutations polynomial pp.)-papers prime number proper divisors proved published real number real polynomial real quadratic reciprocals result Ross Honsberger series expansion sin² solution solve square roots summands theorem of algebra triangle whole numbers wrote