Fourier Series and Integral Transforms

Hardcover (Print)
Buy New
Buy New from BN.com
$120.96
(Save 16%)
Eligible for FREE SHIPPING details
Usually ships within 24 hours details
Used and New from Other Sellers
Used and New from Other Sellers
from $90.09
Usually ships in 1-2 business days
(Save 37%)
Other sellers (Hardcover)
  • All (5) from $90.09   
  • New (3) from $134.99   
  • Used (2) from $90.09   

More About This Textbook

Overview

The aim of this book is to provide 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.
Read More Show Less

Editorial Reviews

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

Product Details

  • ISBN-13: 9780521592093
  • Publisher: Cambridge University Press
  • Publication date: 9/1/1997
  • Pages: 200
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.63 (d)

Table of Contents

Preface
0 Notation and Terminology 1
1 Basic Concepts in Set Theory 1
2 Calculus Notation 2
3 Useful Trigonometric Formulae 4
1 Background: Inner Product Spaces 5
1 Linear and Inner Product Spaces 5
2 The Norm 10
3 Orthogonal and Orthonormal Systems 15
4 Orthogonal Projections and Approximation in the Mean 19
5 Infinite Orthonormal Systems 24
2 Fourier Series 32
1 Definitions 32
2 Evenness, Oddness, and Additional Examples 40
3 Complex Fourier Series 42
4 Pointwise Convergence and Dirichlet's Theorem 46
5 Uniform Convergence 56
6 Parseval's Identity 63
7 The Gibbs Phenomenon 68
8 Sine and Cosine Series 72
9 Differentiation and Integration of Fourier Series 76
10 Fourier Series on Other Intervals 81
11 Applications to Partial Differential Equations 85
3 The Fourier Transform 93
1 Definitions and Basic Properties 93
2 Examples 98
3 Properties and Formulae 102
4 The Inverse Fourier Transform and Plancherel's Identity 108
5 Convolution 116
6 Applications of the Residue Theorem 119
7 Applications to Partial Differential Equations 125
8 Applications to Signal Processing 130
4 The Laplace Transform 140
1 Definition and Examples 140
2 More Formulae and Examples 143
3 Applications to Ordinary Differential Equations 149
4 The Heaviside and Dirac-Delta Functions 155
5 Convolution 162
6 More Examples and Applications 168
7 More Inverse Transform Formula 173
8 Applications of the Inverse Transform 175
App. A The Residue Theorem and Related Results 182
App. B Leibniz's Rule and Fubini's Theorem 186
Index 188
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Review Guidelines
Add Recommendations
Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously
    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)