Fourier Series. (Record no. 79799)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04519nam a22004333i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3330342 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729125049.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2005 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781614441045 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780883857403 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3330342 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3330342 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10722453 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)929120413 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA404.B48 2005eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.2433 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bhatia, Rejendra. |
| 245 10 - TITLE STATEMENT | |
| Title | Fourier Series. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2005. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2007. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (131 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- copyright page -- title page -- Contents -- Preface -- 0 A History of Fourier Series -- 1. The motion of a vibrating string -- 2. J. D'Alembert -- 3. L. Euler -- 4. D. Bernoulli -- 5. J. Fourier -- 6. P. Dirichlet -- 7. B. Riemann -- 8. P. du Bois-Reymond -- 9. G. Cantor -- 10. L. Fejér -- 11. H. Lebesgue -- 12. A.N. Kolmogorov -- 13. L. Carleson -- 14. The L_2 theory and Hilbert spaces -- 15. Some modern developments-I -- 16. Some modern developments-II -- 17. Pure and applied mathematics -- Chapt 1 Heat Conduction and Fourier Series -- 1.1 The Laplace equation in two dimensions -- 1.2 Solutions of the Laplace equation -- 1.3 The complete solution of the Laplace equation -- 2 Convergence of Fourier Series -- 2.1 Abel summability and Cesàro summability -- 2.2 The Dirichlet and the Fejér kernels -- 2.3 Pointwise convergence of Fourier series -- 2.4 Term by term integration and differentiation -- 2.5 Divergence of Fourier series -- 3 Odds and Ends -- 3.1 Sine and cosine series -- 3.2 Functions with arbitrary periods -- 3.3 Some simple examples -- 3.4 Infinite products -- 3.5 π and infinite series -- 3.6 Bernoulli numbers -- 3.7 sinx/x -- 3.8 The Gibbs phenomenon -- 3.9 Exercises -- 3.10 A historical digression -- 4 Convergence in L_2 and L_1 -- 4.1 L_2 convergence of Fourier series -- 4.2 Fourier coefficients of L_1 functions -- 5 Some Applications -- 5.1 An ergodic theorem and number theory -- 5.2 The isoperimetric problem -- 5.3 The vibrating string -- 5.4 Band matrices -- A A Note on Normalisation -- B A Brief Bibliography -- Analysis -- Fourier series -- General reading -- History and biography -- Index -- Notation -- About the Author. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This is a concise introduction to Fourier series covering history, major themes, theorems, examples and applications. It can be used to learn the subject, and also to supplement, enhance and embellish undergraduate courses on mathematical analysis.The book begins with a brief summary of the rich history of Fourier series over three centuries. The subject is presented in a way that enables the reader to appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory dealing with concepts such as sets, functions, infinity and convergence. The abstract theory then provides unforeseen applications in diverse areas.The author starts out with a description of the problem that led Fourier to introduce his famous series. The mathematical problems this leads to are then discussed rigorously. Examples, exercises and directions for further reading and research are provided, along with a chapter that provides materials at a more advanced level suitable for graduate students. The author demonstrates applications of the theory to a broad range of problems.The exercises of varying levels of difficulty that are scattered throughout the book will help readers test their understanding of the material. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Fourier series. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Bhatia, Rejendra |
| Title | Fourier Series |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2005 |
| International Standard Book Number | 9780883857403 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330342">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330342</a> |
| Public note | Click to View |
No items available.