Introduction to analysis (Record no. 1673)

000 -LEADER
fixed length control field 02221nam a2200229Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241105113945.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821852064
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA300
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Gaughan D. Edward
245 ## - TITLE STATEMENT
Title Introduction to analysis
250 ## - EDITION STATEMENT
Edition statement 5th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. [c1998]
Place of publication, distribution, etc. Rhode Island:
300 ## - Physical Description
Pages: 240 p.
490 ## - SERIES STATEMENT
Series statement Pure and Applied Undergraduate Texts
Volume/sequential designation Vol. 1
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 0. Preliminaries<br/>Chapter 1. Sequences<br/>Chapter 2. Limits of functions<br/>Chapter 3. Continuity<br/>Chapter 4. Differentiation<br/>Chapter 5. The Riemann integral<br/>Chapter 6. Infinite series<br/>Chapter 7. Sequences and series of functions<br/>
520 ## - SUMMARY, ETC.
Summary, etc. Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader's intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary guidance to solve that problem. A Project is distinguished from an exercise in that the solution of a Project is a multi-step process requiring assistance for the beginner student.---Summary provided by publisher <br/><br/>
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 00936 Book