Synopses & Reviews
The author 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 with 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.
Synopsis
Every mathematician should have this book. It covers the ideas, techniques and results to be obtained from Fourier Analysis. Also covers applications in number theory, statistics, earth science, astronomy and electrical engineering.
Synopsis
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 Körner 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.
Synopsis
Körner provides a shop-window for some of the ideas, techniques and elegant results of Fourier analysis.
Synopsis
Ranging from number theory, numerical analysis, control theory and statistics, to earth science, astronomy and electrical engineering, the techniques and results of Fourier analysis and applications are displayed in perspective.
Table of Contents
Preface; 1. Fourier series; 2. Some differential equations; 3. Orthogonal series; 4. Fourier transforms; 5. Further developments; 6. Other directions; Appendices; Index.