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Engineering - General & Miscellaneous, Mathematics, Mathematics, Mathematical Analysis, Engineering - General & Miscellaneous
Fourier Transforms by Robert M. Gray β€” book cover

Fourier Transforms

by Robert M. Gray, Joseph W. Goodman
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Overview

The Fourier transform is one of the most important mathematical tools in a wide variety of science and engineering fields. Its application - as Fourier analysis or harmonic analysis - provides useful decompositions of signals into fundamental ('primitive') components, giving shortcuts in the computation of complicated sums and integrals, and often revealing hidden structure in the data.
Fourier Transforms: An Introduction for Engineers develops the basic definitions, properties and applications of Fourier analysis, the emphasis being on techniques for its application to linear systems, although other applications are also considered. The book will serve as both a reference text and a teaching text for a one-quarter or one-semester course covering the application of Fourier analysis to a wide variety of signals, including discrete time (or parameter), continuous time (or parameter), finite duration, and infinite duration. It highlights the common aspects in all cases considered, thereby building an intuition from simple examples that will be useful in the more complicated examples where careful proofs are not included.
Fourier Analysis: An Introduction for Engineers is written by two scholars who are recognized throughout the world as leaders in this area, and provides a fresh look at one of the most important mathematical and directly applicable concepts in nearly all fields of science and engineering.
Audience: Engineers, especially electrical engineers. The careful treatment of the fundamental mathematical ideas makes the book suitable in all areas where Fourier analysis finds applications.

Synopsis

The Fourier transform is one of the most important mathematical tools in a wide variety of science and engineering fields. Its application - as Fourier analysis or harmonic analysis - provides useful decompositions of signals into fundamental ('primitive') components, giving shortcuts in the computation of complicated sums and integrals, and often revealing hidden structure in the data.
Fourier Transforms: An Introduction for Engineers develops the basic definitions, properties and applications of Fourier analysis, the emphasis being on techniques for its application to linear systems, although other applications are also considered. The book will serve as both a reference text and a teaching text for a one-quarter or one-semester course covering the application of Fourier analysis to a wide variety of signals, including discrete time (or parameter), continuous time (or parameter), finite duration, and infinite duration. It highlights the common aspects in all cases considered, thereby building an intuition from simple examples that will be useful in the more complicated examples where careful proofs are not included.
Fourier Analysis: An Introduction for Engineers is written by two scholars who are recognized throughout the world as leaders in this area, and provides a fresh look at one of the most important mathematical and directly applicable concepts in nearly all fields of science and engineering.
Audience: Engineers, especially electrical engineers. The careful treatment of the fundamental mathematical ideas makes the book suitable in all areas where Fourier analysis finds applications.

Booknews

A text for a one-quarter or one-semester course for engineering students with knowledge of complex variables and basic calculus and some familiarity with linear algebra. Describes the mathematical operations of one of the most widely used procedures in science and engineering, and illustrates its application mostly in electrical engineering contexts. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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Editorials

Booknews

A text for a one-quarter or one-semester course for engineering students with knowledge of complex variables and basic calculus and some familiarity with linear algebra. Describes the mathematical operations of one of the most widely used procedures in science and engineering, and illustrates its application mostly in electrical engineering contexts. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Book Details

Published
June 1, 1995
Publisher
Springer-Verlag New York, LLC
Pages
384
Format
Hardcover
ISBN
9780792395850

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