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Fourier Analysis: An Introduction (Princeton Lectures in Analysis, Volume 1) by,
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Seller assumes all responsibility for this listing.
eBay item number:146739369102
Item specifics
- Condition
- Good
- Seller Notes
- “Used book in good condition. Shows typical wear. Quick shipping. Satisfaction guaranteed!”
- Book Title
- Fourier Analysis: An Introduction (Princeton Lectures in Analysi,
- Topic
- Mathematical Analysis
- Narrative Type
- Mathematical Analysis
- Genre
- N/A
- Intended Audience
- N/A
- 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
9.7 in
Item Width
6.5 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
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- t***c (532)- Feedback left by buyer.Past 6 monthsVerified purchaseThis item was never shipped but U.S.P.S. showed it as having been delivered. After I contacted the seller, they discovered that it had not been shipped and they did not have one to ship me, so they immediately refunded my money. Seller responded quickly to my inquiry and quickly gave me a refund. Would buy from them again.Exploring Proverbs, Volume 1 (John Phillips Commentary Series) by Phillips (#146486555200)
- o***- (4)- Feedback left by buyer.Past monthVerified purchaseTimely delivery. Well packaged and arrived in good condition. Item was as described. I was happy with the price. Most people selling these volumes charge collectors prices. Seller offered a fair price.
- o***o (251)- Feedback left by buyer.Past 6 monthsVerified purchaseFast shipping, great packaging, item as described, good value, awesome seller, thank you, A+++Writings 1997-2003 by CCRU (#135894994311)