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This book presents the basic ideas in Fourier analysis and its applications to the study of partial differential equations. It also covers the Laplace and Zeta transformations and the fundaments of their applications. The author has intended to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral or with analytic functions of a complex variable. At the same time, he has included discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability, and multidimensional Fourier analysis, topics that one usually will not find in books at this level. Many of the chapters end with a summary of their contents, as well as a shorthistorical note. The text contains a great number of examples, as well as more than 350 exercises. In addition, one of the appendices is a collection of the formulas needed to solve problems in the field.
|DATE DE PUBLICATION||2003-Dec-01|
|TAILLE DU FICHIER||4,19 MB|
|NOM DE FICHIER||Fourier Analysis and Its Applications.pdf|
Fourier Analysis and Its Applications Share this page. Must read for any engg. Brian marked it as to-read Dec 26, On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.
Fourier Analysis and Its Applications - Ebook written by Anders Vretblad. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Fourier Analysis and Its Applications.