Mathematical Discovery On Understanding, Learning And Teaching Problem Solving, Volumes I And II Paperback

George Polya

A carefully revised edition of the well--respected ODE text, whose unique treatment provides a smooth transition to critical understanding of proofs of basic theorems. First chapters present a rigorous treatment of background material; middle chapters deal in detail with systems of nonlinear differential equations; final chapters are devoted to the study of second--order linear differential equations. The power of the theory of ODE is illustrated throughout by deriving the properties of important special functions, such as Bessel functions, hypergeometric functions, and the more common orthogonal polynomials, from their defining differential equations and boundary conditions. Contains several hundred exercises. Prerequisite is a first course in ODE.

9780471089759

English

John Wiley & Sons

24 April 1981

464

George Polya was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zurich and from 1940 to 1953 at Stanford University. He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory.