تحلیل فوریه و کاربردهای آن (سری ریاضیات وادزورث و بروکس/کول)

This book presents the theory and applications of Fourier series and integrals, Laplace Transforms, eigenfunction expansions, and related topics. It deals almost exclusively with those aspects of Fourier analysis that are useful in physics and engineering. Using ideas from modern analysis, it discusses the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs. A wide variety of applications are included, in addition to discussions of integral equations and signal analysis. Booknews A textbook for an advanced undergraduate course for students of mathematics, physics, and engineering. Explains the cluster of techniques whose popularity and usefulness in science rivals that of sliced bread (with which it also shares some fundamental concepts). Annotation c. Book News, Inc., Portland, OR (booknews.com) Presenting Fourier methods as a set of tools for solving applied problems, this introduction also gives the student advanced theoretical treatments that are a part of pure mathematics.