Euler: The Master of Us All, Volume 22Leonhard 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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User Review  halesso  LibraryThingI completely enjoyed this book. Beautiful mathematics exquisitely presented. Provocative discussion of deeper meaning of theorem and the creative development of conceptual ideas. Read full review
LibraryThing Review
User Review  ewrinc  LibraryThingProfessor William Dunham writes about one of the greatest mathematicians who has lived. Leonhard Euler (pronounced "oiler" or "OILa") lived from 1707 to 1783 and produced a massive volume of papers ... Read full review
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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Common terms and phrases
analytic number theory André Weil Area(AABC argument Basel Problem Book calculus Cardano's formula centroid century chapter circumcenter coefficients combinatorics complex numbers conclude consider cosine course depressed cubic differential diverges doughnuts Elements of Algebra epilogue equation Euclid Euler line Euler observed expression Figure finite follows function fundamental theorem geometric series harmonic series Heron's formula Ibid II(n imaginary numbers infinite series infinitely small instance integral Introductio Introduction to Analysis Jakob Bernoulli Johann Bernoulli Leibniz Leonhard Euler letter linear ln(n logarithms mathematicians mathematics modern multiplication notation odd number odd perfect number Opera Omnia or(N orthocenter paper partitions perfect square permutations polynomial pp.)—papers prime number proper divisors proved published reader real number real polynomial real quadratic reciprocals result Ross Honsberger series expansion sixthdegree ſº solution solve square roots summands theorem of algebra triangle whole numbers wrote