Fourier Series and Integral Transforms [Paperback]

Allan Pinkus (Author), Samy Zafrany (Author)

Book Description

Publication Date: September 28, 1997 | ISBN-10: 0521597714 | ISBN-13: 978-0521597715

This volume provides a basic understanding of Fourier series, Fourier transforms, and Laplace transforms. It is an expanded and polished version of the authors' notes for a one-semester course intended for students of mathematics, electrical engineering, physics and computer science. Prerequisites for readers of this book are a basic course in both calculus and linear algebra. The material is self contained with numerous exercises and various examples of applications.

Editorial Reviews

Review

"With its frequent examples and exercises, the present book is eminently suitable for both self-study and a one-semester course." Choice

Book Description

This volume provides the reader with a basic understanding of Fourier series, Fourier transforms and Laplace transforms. The book is an expanded and polished version of the authors' notes for a one semester course, for students of mathematics, electrical engineering, physics and computer science. Prerequisites for readers of this book are a basic course in both calculus and linear algebra. Otherwise the material is self-contained with numerous exercises and various examples of applications.

Product Details

• Paperback: 200 pages
• Publisher: Cambridge University Press (September 28, 1997)
• Language: English
• ISBN-10: 0521597714
• ISBN-13: 978-0521597715
• Product Dimensions: 9 x 6.1 x 0.5 inches
• Shipping Weight: 11.4 ounces (View shipping rates and policies)
• Average Customer Review: 3.8 out of 5 stars  See all reviews (4 customer reviews)
• Amazon Best Sellers Rank: #2,373,844 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

Most Helpful Customer Reviews

1 of 1 people found the following review helpful:

4.0 out of 5 stars Good, concise treatment, May 1, 2007

By 

Reader "wyj3" (Arizona) - See all my reviews

Amazon Verified Purchase

This review is from: Fourier Series and Integral Transforms (Paperback)

One reviewer characterized this book as little more than class notes. It is much better than that. It is, however, concise; the authors cover a lot of ground in few pages. As usual for graduate courses, a lot is required of the student. A good foundation in real analysis, or at least calculus, is assumed. For example, the author say that Lebesgue's Dominated Convergence Theorem is beyond the scope of the book. This suggests that it is a more advanced topic, while really it is a less advanced topic that ought to have been covered in a prior course. In general, the book could be amplified to two or three times its length without taking up additional topics. I would not say that there are too few exercises, but it is true that a complete working out of the exercises in the back of the book would have been good.

P.S. Different writers use different definitions of the Fourier transform. The authors mention this but do not say why they chose the one that they did. He calls the differences "purely technical," but of course the whole subject is technical. I would have appreciated a discussion of his choice. Also, I would warn the reader that the exercises do not seem given in increasing order of difficulty as is usual. Nevertheless, this is a good book if you are prepared to work through it.

2 of 3 people found the following review helpful:

5.0 out of 5 stars Excellent book, March 6, 2004

By A Customer

This review is from: Fourier Series and Integral Transforms (Hardcover)

I think this is an excellent book on Fourier series and Fourier transforms. I think their style is clear, concise and informative.

For example their treatment of pointwise conergence is explained in far simpler way then in other text.

The book is well done.

5.0 out of 5 stars Excellent text for the self-learner, September 26, 2011

By 

Noah (Ann Arbor, MI United States) - See all my reviews

This review is from: Fourier Series and Integral Transforms (Hardcover)

This is by far one of the best mathematics texts I've read. It's clearly written and provides substantial background behind the development of Fourier series with some excellent examples and exercises. I used this text for an independent study course and needed only some help from my professor. Undergraduate courses in Real Analysis and Vector Calculus is recommended to help speed up the learning process. I highly recommend this text for your personal library.