Fourier Series and Integrals

Revised
ISBN: 978-0-12-226451-1
Verlag: ACADEMIC PR INC

Buch, Englisch, 295 Seiten, Format (B × H): 153 mm x 225 mm, Gewicht: 476 g

Reihe: Probability and Mathematical S

The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it is the chief tool. It presents a mathematical account of Fourier ideas on the circle and the line, on finite commutative groups, and on a few important noncommutative groups. A wide variety of exercises are placed in nearly every section as an integral part of the text.

Zielgruppe

Mathematicians.

Autoren/Hrsg.

Aldous, David

Tong, Y. L.

Weitere Mitwirkende

Aldous, David

Tong, Y. L.

Dym, H.

McKean, H. P.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

Historical Introduction. Fourier Series. Fourier Integrals. Fourier Integrals and Complex Function Theory. Fourier Series and Integrals on Groups. Additional Reading. Bibliography.