Introduction to real analysis (Record no. 8213)

MARC details
000 -LEADER
fixed length control field 03876cam a2200349 a 4500
001 - CONTROL NUMBER
control field 015773217
003 - CONTROL NUMBER IDENTIFIER
control field Uk
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20170830172512.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 101022s2011 njua b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2010045251
016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER
Record control number 015773217
Source Uk
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9788126551811
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)ocn671573454
040 ## - CATALOGING SOURCE
Original cataloging agency IISER Bhopal
Transcribing agency IISER Bhopal
042 ## - AUTHENTICATION CODE
Authentication code ukblcatcopy
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA300
Item number .B294 2011
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515 B284I4
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bartle, Robert G.
9 (RLIN) 21767
222 ## - KEY TITLE
Key title Mathematics-textbook Collection
245 10 - TITLE STATEMENT
Title Introduction to real analysis
Statement of responsibility, etc Robert G. Bartle, Donald R. Sherbert.
250 ## - EDITION STATEMENT
Edition statement 4th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New Delhi :
Name of publisher, distributor, etc Wiley India Pvt. Ltd.,
Date of publication, distribution, etc 2017.
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 402 p. :
Other physical details ill. ;
Dimensions 26 cm.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Ch. 1.Preliminaries: 1.1. Sets and functions; 1.2. Mathematical induction; 1.3. Finite and infinite sets -- Ch. 2. The Real Numbers: 2.1. The algebraic and order properties of R; 2.2. Absolute value and real line; 2.3. The completeness property of R; 2.4. Applications of the supremum property; 2.5. Intervals -- Ch. 3. Sequences and series: 3.1. Sequences and their limits; 3.2. Limit theorems; 3.3. Monotone sequences; 3.4. Subsequences and the Bolzano-Weierstrass theorem; 3.5. The Cauchy criterion; 3.6. Properly divergent sequences; 3.7. Introduction to infinite series -- Ch. 4. Limits: 4.1. Limits of functions; 4.2. Limit theorems; 4.3. Some extensions of the limit concept -- Ch. 5. Continuous functions: 5.1. Continuous runctions; 5.2 . Combinations of continuous runctions; 5.3. Continuous functions on intervals; 5.4. Uniform continuity; 5.5. Continuity and gauges; 5.6. Monotone and inverse functions -- Ch. 6. Differentiation: 6.1. The derivative; 6.2. The mean value theorem; 6.3. L'Hospital's rules; 6.4. Taylor's Theorem -- Ch. 7. The Riemann integral: 7.1. Riemann integral; 7.2. Riemann integrable functions; 7.3. The fundamental theorem; 7.4. The Darboux integral; 7.5. Approximate integration -- Ch. 8. Sequences of functions: 8.1. Pointwise and uniform convergence; 8.2. Interchange of limits; 8.3. The exponential and logarithmic functions; 8.4. The trigonometric functions -- Ch. 9. Infinite series: 9.1. Absolute convergence; 9.2. Tests for absolute convergence; 9.3. Tests for nonabsolute convergence; 9.4. Series of functions -- Ch. 10. The generalized Riemann integral: 10.1. Definition and main poperties; 10.2. Improper and Lebesgue integrals; 10.3. Infinite intervals; 10.4. Convergence theorems -- Ch. 11. A glimpse into topology: 11.1. Open and closed sets in R; 11.2 Compact sets; 11.3. Continuous functions; 11.4. Metrtic Spaces -- Appendix A. Logic and proofs -- Appendix B. Finite and countable sets -- Appendix C. The Riemann and Lebesgue criteria -- Appendix D. Approximate integration -- Appendix E. Two examples.
520 ## - SUMMARY, ETC.
Summary, etc "This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible"--
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical analysis.
9 (RLIN) 21768
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of real variables.
9 (RLIN) 21769
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sherbert, Donald R.,
9 (RLIN) 21770
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Date checked out Cost, replacement price Price effective from Koha item type Public note
    Dewey Decimal Classification   Not For Loan Central Library, IISER Bhopal Central Library, IISER Bhopal Reference Section 30/08/2017 61 431.00 1 515 B284I4 8518 25/05/2018 25/05/2018 539.00 30/08/2017 Books Reserve


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