Real analysis (Record no. 1709)

000 -LEADER
fixed length control field 01356nam a2200205Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241104130234.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180205s9999 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821852224
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA300
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Frank Morgan
245 ## - TITLE STATEMENT
Title Real analysis
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. American Matematical Society:
Date of publication, distribution, etc. [c2005]
Place of publication, distribution, etc. Rhode Island,
300 ## - Physical Description
Pages: 151 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Part I. Real Numbers and Limits<br/>Part II. Topology<br/>Part III. Calculus<br/>Part IV. Metric Spaces
520 ## - SUMMARY, ETC.
Summary, etc. Intended for undergraduates studying real analysis, this book builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in Rn. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as "closed and bounded," via sequences, and via open covers. Topics include Fourier series, the Gamma function, metric spaces, and Ascoli's Theorem.This concise text not only provides efficient proofs, but also shows students how to derive them. The excellent exercises are accompanied by select solutions. Ideally suited as an undergraduate textbook, this complete book on real analysis will fit comfortably into one semester.---Summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 5 01/18/2018 QA300 00974 Book