Download or read book Analysis And Differential Equations written by Odile Pons and published by World Scientific Publishing Company. This book was released on 2015-01-19 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations. It provides explicit solutions of linear and nonlinear differential equations and implicit solutions with discrete approximations. Differential equations that could not be explicitly solved are discussed with special functions such as Bessel functions. New functions are defined from differential equations. Laguerre, Hermite and Legendre orthonormal polynomials as well as several extensions are also considered.It is illustrated by examples and graphs of functions, with each chapter containing exercises solved in the last chapter.