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Fourier Analysis: An Introduction (Princeton Lectures in Analysis, Volume 1) by Elias M. Stein & Rami Shakarchi is a mathematics available to read on EtoBox.

What is Fourier Analysis: An Introduction (Princeton Lectures in Analysis, Volume 1) about?

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, p

Who reads Fourier Analysis: An Introduction (Princeton Lectures in Analysis, Volume 1)?

Author

Elias M. Stein & Rami Shakarchi

Publisher

Princeton University Press

Published

2003

Language

EN

ISBN

9780691113845

Category

mathematics

Subjects

Mathematics, Analysis, Stem

Rating

4.6 / 5 (65 ratings)

Updated

2026-03-14