Fourier Analysis

Erscheinungsjahr 2022
ISBN: 978-1-009-23005-6
Verlag: Cambridge University Press

Buch, Englisch, 610 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 1030 g

Reihe: Cambridge Mathematical Library

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. This diversity of interest is often overlooked, but in this much-loved book, Tom Körner provides 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. The prerequisites are few (a reader with knowledge of second- or third-year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. This edition of Körner's 1989 text includes a foreword written by Professor Terence Tao introducing it to a new generation of fans.

Autoren/Hrsg.

Körner, T. W.

Weitere Mitwirkende

Tao, Terence

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

Foreword Terence Tao; Preface; 1. Fourier series; 2. Some differential equations; 3. Orthogonal series; 4. Fourier transforms; 5. Further developments; 6. Other directions; Appendices; Index.

Über Autor(innen)

Körner, T. W.
T. W. Körner is Emeritus Professor of Fourier Analysis at the University of Cambridge. His other books include The Pleasures of Counting (Cambridge, 1996) and Where Do Numbers Come From? (Cambridge, 2019).