Integral Transforms and Their Applications

This book is an introduction and reference for the applications of integraltransforms to a wide range of common mathematical problems. Emphasis is placedon the ... » 

This book is an introduction and reference for the applications of integraltransforms to a wide range of common mathematical problems. Emphasis is placedon the development of techniques and on the connection between properties oftransforms and the kinds of problems for which they provide tools. Over 400problems accompany the text illustrating areas of applications. This thirdedition has been substantially updated extended and reorganized.Chapter oneis largely new covering introductory aspects of complex variable theory.Chapters 26 are devoted to the Laplace transform and include material onordinary differential equations and partial differential equations. Chapters 711 cover the Fourier transform by exposition and application. Chapters 1213discuss techniques of the Mellin transform and the final chapter on thenumerical inversion of the Laplace transform brings up to date the enormousprogress in the area. Graduate students and researchers working in mathematicsand physics will find this book useful. «