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 |