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Fourier analysis

Rich in both theory and application, Fourier Analysis presents a unique and thorough approach to a key topic in advanced calculus. Written at a rigorous level yet in an engaging style that does not dilute the material, Eric Stade brings two profound aspects of the discipline to the forefront: the wealth of applications of Fourier analysis in the natural sciences, and the enormous impact Fourier analysis has had on the development of mathematics as a whole. Based upon the principle that theory and practice are fundamentally linked, Fourier Analysis is the ideal text and reference for students in mathematics, engineering, physics, as well as scientists and technicians in a broad range of disciplines who use Fourier analysis in real world situations.

Online Wiley Online Library

Fourier analysis

Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. This book explains the basic mathematical theory and some of the principal applications of Fourier analysis, in areas ranging from sound and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that range from straightforward applications of formulas to more complex collections of problems. The text will be a valuable guide for courses in electrical engineering, applied mathematics, and signal processing.

Fourier analysis

Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. In most books, this diversity of interest is often ignored, but here Dr Korner has provided a shop-window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy, and electrical engineering. Each application is placed in perspective by a short essay. The prerequisites are few (the reader with knowledge of second or third year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. In short, this stimulating account will be welcomed by all who like to read about more than the bare bones of a subject. For them this will be a meaty guide to Fourier analysis.

Online Cambridge Core