Description
Book SynopsisThis book is derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or beginning graduate level. Beyond teaching specific topics and techniques, the author's goal is to help engineering and science students cultivate more advanced mathematical know-how.
Trade ReviewA thoroughly enjoyable yet careful mathematical perspective of the underlying concepts and many applications of modern signal analysis."" - Les Atlas, University of Washington
""Osgood leads his readers from the basics to the more sophisticated parts of applicable Fourier analysis with a lively style, a light touch on the technicalities, and an eye toward communications engineering. This book should be a great resource for students of mathematics, physics, and engineering alike."" - Gerald B. Folland, University of Washington
""Fourier analysis with a swing in its step."" - Tom Korner, University of Cambridge
Table of Contents
- Fourier series
- Fourier transform
- Convolution
- Distributions and their Fourier transforms
- $\delta$ hard at work
- Sampling and interpolation
- Discrete Fourier transform
- Linear time-invariant systems
- $n$-Dimensional Fourier transform
- A list of mathematical topics that are fair game
- Complex numbers and complex exponentials
- Geometric sums
- Index.
