Fourier Analysis: An Introduction (Princeton Lectures in Analysis, Volume 1) ISBN: 9780691113845 Illustrated Edition
Original price was: $95.00.$64.99Current price is: $64.99.
Product Details
- Condition: New
- Publisher: Princeton University Press
- Language: English
- Paperback: 328 pages
- ISBN: 978-0691113845
- Item Weight: 1.34 pounds
- Dimensions: 6.5 x 0.75 x 9.5 inches
Description
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.
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| Weight | 1.34 lbs |
|---|---|
| Dimensions | 16.51 × 1.905 × 24.13 in |
Justin W –
A classic for a reason. Stein’s influence is evident here, providing a clean, logical, and beautifully structured approach to analysis.
Linda H –
This text manages to be both rigorous and readable. It is a gold standard for learning modern, foundational analysis effectively.
Jennifer P –
Perfect for self-study. The problem sets are carefully posed, encouraging active participation while teaching essential classical and modern analytic techniques.
Robert S –
It bridges the gap between pure mathematics and physics applications flawlessly. It is an indispensable resource for any serious learner.
Christopher M –
The inclusion of finite Fourier analysis to prove Dirichlet’s theorem on primes is a highlight, demonstrating mathematics’ remarkable organic unity.