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Fourier Analysis : An Introduction by Stein and Shakarchi, International ed.
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- Buy It NowFourier Analysis : An Introduction by Stein and Shakarchi, International ed.
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eBay item number:285216378572
Item specifics
- Condition
- Binding
- SOFTCOVER
- International ISBN
- 9789380663463
- Contents
- SAME as in US edition
- Packing
- Shrinkwrapped- Box Packed
- Product Type
- INTERNATIONAL EDITION
- If Order Expedited Shipping
- DELIVERED WITHIN 5-7 DAYS BY DHL/UPS/FedEx/Aramex
- ISBN
- 9780691113845
- Subject Area
- Mathematics
- Publication Name
- Fourier Analysis : an Introduction
- Item Length
- 9.5 in
- Publisher
- Princeton University Press
- Subject
- Functional Analysis, Mathematical Analysis
- Publication Year
- 2003
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.2 in
- Item Width
- 6.4 in
- Item Weight
- 21 Oz
- Number of Pages
- 328 Pages
About this product
Product Information
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. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis.Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Product Identifiers
Publisher
Princeton University Press
ISBN-10
069111384x
ISBN-13
9780691113845
eBay Product ID (ePID)
17038685813
Product Key Features
Publication Name
Fourier Analysis : an Introduction
Format
Hardcover
Language
English
Subject
Functional Analysis, Mathematical Analysis
Publication Year
2003
Type
Textbook
Subject Area
Mathematics
Number of Pages
328 Pages
Dimensions
Item Length
9.5 in
Item Height
1.2 in
Item Width
6.4 in
Item Weight
21 Oz
Additional Product Features
LCCN
2003-103688
Intended Audience
College Audience
Lc Classification Number
Qa403.5
Table of Content
Foreword vii Preface xi Chapter 1. The Genesis of Fourier Analysis 1 Chapter 2. Basic Properties of Fourier Series 29 Chapter 3. Convergence of Fourier Series 69 Chapter 4. Some Applications of Fourier Series 100 Chapter 5. The Fourier Transform on R 129 Chapter 6. The Fourier Transform on R d 175 Chapter 7. Finite Fourier Analysis 218 Chapter 8. Dirichlet's Theorem 241 Appendix: Integration 281 Notes and References 299 Bibliography 301 Symbol Glossary 305
Copyright Date
2003
Illustrated
Yes
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eBay item number:285216378572
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