First Course in Fourier Analysis

Discover the fascinating world of applied mathematics with First Course in Fourier Analysis by David W. Kammler, published by Cambridge University Press in 2008. This comprehensive 2nd revised edition spans an impressive 862 pages, offering a thorough exploration of both discrete and continuous Fourier analysis.

In this engaging textbook, Kammler presents a unified theory that encompasses the fast Fourier transform and a robust elementary theory of generalized functions. Readers will learn how to apply these mathematical concepts to real-world problems, including sampling theory, partial differential equations (PDEs), probability, diffraction, musical tones, and wavelets. Perfect for students and professionals alike, this book serves as an essential resource for anyone looking to deepen their understanding of Fourier analysis and its applications in various fields.