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Fourier Analysis: An Introduction by Elias M. Stein (English) Hardcover Book
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Item specifics
- Condition
- ISBN-13
- 9780691113845
- Book Title
- Fourier Analysis
- ISBN
- 9780691113845
About this product
Product Identifiers
Publisher
Princeton University Press
ISBN-10
069111384X
ISBN-13
9780691113845
eBay Product ID (ePID)
17038685813
Product Key Features
Number of Pages
328 Pages
Language
English
Publication Name
Fourier Analysis : an Introduction
Subject
Functional Analysis, Mathematical Analysis
Publication Year
2003
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.2 in
Item Weight
21 Oz
Item Length
9.5 in
Item Width
6.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
2003-103688
Illustrated
Yes
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
Synopsis
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., This first volume, a three-part introduction to Fourier analysis, is intended for students with a beginning knowledge of mathematical analysis. The first part concersn 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. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression., 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., Intended for students with a beginning knowledge of mathematical analysis, this first volume, in a three-part introduction to Fourier analysis, introduces the core areas of mathematical analysis while also illustrating the organic unity between them. It includes numerous examples and applications.
LC Classification Number
QA403.5
Item description from the seller
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- w***i (873)- Feedback left by buyer.Past monthVerified purchaseAbsolutely Wonderful Seller!! Terrific Item As Described!!! Great Service and Communication!! Shipped In Waterproof Packaging!! I Received Item In About One Week!! Very Pleased With Seller! I Will Buy From This Seller Again!!
- e***_ (17)- Feedback left by buyer.Past 6 monthsVerified purchaseSeller handles a massive inventory so I give them grace on the slow processing and shipping. They were very communicative and prompt with their response when I messaged in asking about it. Book was in good condition as described. Small ding on the page edges which wasn't mentioned, but that's fairly common even at your typical book store. Still a good value and I'd buy from them again.
- 0***i (5)- Feedback left by buyer.Past 6 monthsVerified purchaseThe first item arrived with some damage to the inside back cover, but the seller responded immediately, assuring me they’d provide a replacement, and even told me I could keep the original. They were upfront about a short delay, and gave a clear estimated ship date, and followed up right on time once it shipped. The replacement arrived in perfect condition and exactly as described. I really appreciated their transparency and professionalism. Would definitely buy from them again!
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Seller feedback (1,054,931)
- w***i (873)- Feedback left by buyer.Past monthVerified purchaseAbsolutely Wonderful Seller!! Terrific Item As Described!!! Great Service and Communication!! Shipped In Waterproof Packaging!! I Received Item In About One Week!! Very Pleased With Seller! I Will Buy From This Seller Again!!
- e***_ (17)- Feedback left by buyer.Past 6 monthsVerified purchaseSeller handles a massive inventory so I give them grace on the slow processing and shipping. They were very communicative and prompt with their response when I messaged in asking about it. Book was in good condition as described. Small ding on the page edges which wasn't mentioned, but that's fairly common even at your typical book store. Still a good value and I'd buy from them again.
- 0***i (5)- Feedback left by buyer.Past 6 monthsVerified purchaseThe first item arrived with some damage to the inside back cover, but the seller responded immediately, assuring me they’d provide a replacement, and even told me I could keep the original. They were upfront about a short delay, and gave a clear estimated ship date, and followed up right on time once it shipped. The replacement arrived in perfect condition and exactly as described. I really appreciated their transparency and professionalism. Would definitely buy from them again!