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Invitation to classical analysis (Record no. 35038)

MARC details
000 -LEADER
fixed length control field 02533nam a22002537a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240610113856.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240604b |||||||| |||| 00| 0 hin d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470425784
040 ## - CATALOGING SOURCE
Original cataloging agency NISER LIBRARY
Language of cataloging eng
Transcribing agency NISER LIBRARY
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title English
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 517.9
Item number DUR-I
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Duren, Peter.
245 ## - TITLE STATEMENT
Title Invitation to classical analysis
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Hyderabad :
Name of publisher, distributor, etc. Universities Press,
Date of publication, distribution, etc. 2012.
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 392p. :
Other physical details ill. ;
Dimensions 26 cm.
490 ## - SERIES STATEMENT
Series statement Pure and applied undergraduate texts ;
Volume/sequential designation 17
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc. This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration.<br/><br/>Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion of differential equations including power series solutions at regular singular points, Bessel functions, hypergeometric functions, and Sturm comparison theory. Preliminary chapters offer rapid reviews of basic principles and further background material such as infinite products and commonly applied inequalities.<br/><br/>This book is designed for individual study but can also serve as a text for second-semester courses in advanced calculus. Each chapter concludes with an abundance of exercises. Historical notes discuss the evolution of mathematical ideas and their relevance to physical applications. Special features are capsule scientific biographies of the major players and a gallery of portraits.<br/><br/>Although this book is designed for undergraduate students, others may find it an accessible source of information on classical topics that underlie modern developments in pure and applied mathematics.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional analysis
856 ## - ELECTRONIC LOCATION AND ACCESS
Materials specified Table of Content
Uniform Resource Identifier <a href="https://www.ams.org/bookstore/pspdf/amstext-17-toc.pdf?_gl=1*15qo94l*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxNzk5NTUxNi4xLjEuMTcxNzk5OTMyOC4wLjAuMA..">https://www.ams.org/bookstore/pspdf/amstext-17-toc.pdf?_gl=1*15qo94l*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxNzk5NTUxNi4xLjEuMTcxNzk5OTMyOC4wLjAuMA..</a>
856 ## - ELECTRONIC LOCATION AND ACCESS
Materials specified Reviews
Uniform Resource Identifier <a href="https://www.goodreads.com/book/show/68237141-invitation-to-classical-analysis?from_search=true&from_srp=true&qid=WpnYCwPJi4&rank=1#CommunityReviews">https://www.goodreads.com/book/show/68237141-invitation-to-classical-analysis?from_search=true&from_srp=true&qid=WpnYCwPJi4&rank=1#CommunityReviews</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type NBHM Books
Source of classification or shelving scheme Universal Decimal Classification
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Universal Decimal Classification     SMS Library SMS Library 29/05/2024   517.9 DUR-I N453 04/06/2024 04/06/2024 NBHM Books
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