Euler: The Master of Us All (Dolciani Mathematical Expositions, No 22) (Dolciani Mathematical Expositions)

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. Dunham Provides A Brief Overview Of Euler's Life And Delves Into The Conceptualization And Proofs Behind His Contributions To Mathematics, Including Euler's Seminal Work Opera Omnia. Euler And Number Theory -- Euler And Logarithms -- Euler And Infinite Series -- Euler And Analytic Number Theory -- Euler And Complex Variables -- Euler And Algebra -- Euler And Geometry -- Euler And Combinatorics. Edited By William Dunham. Includes Bibliographical References And Index. Contains chapters on number theory, logarithms, infinite series, analytic number theory, complex variables, algebra, geometry, and combinatorics Of all branches of mathematics, none is so natural-nor so deceptively difficult-as the theory of numbers.