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Principles of mathematical analysis / (Record no. 132978)

000 -LEADER
fixed length control field	03945cam a2200325 i 4500
001 - CONTROL NUMBER
control field	298857
003 - CONTROL NUMBER IDENTIFIER
control field	BD-DhUL
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20161208134610.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	750607s1976 nyu b 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number	75017903
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	007054235X
Terms of availability	$14.95
035 ## - SYSTEM CONTROL NUMBER
System control number	(OCoLC)1502474
035 ## - SYSTEM CONTROL NUMBER
System control number	298857
040 ## - CATALOGING SOURCE
Original cataloging agency	DLC
Transcribing agency	DLC
Modifying agency	DLC
--	BD-DhUL
--	ANL
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	517
Item number	RUP
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Rudin, Walter,
Dates associated with a name	1921-
245 10 - TITLE STATEMENT
Title	Principles of mathematical analysis /
Statement of responsibility, etc.	Walter Rudin.
250 ## - EDITION STATEMENT
Edition statement	3d ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc.	New York :
Name of publisher, distributor, etc.	McGraw-Hill,
Date of publication, distribution, etc.	1976.
300 ## - PHYSICAL DESCRIPTION
Extent	x, 342 p. ;
Dimensions	24 cm.
490 0# - SERIES STATEMENT
Series statement	International series in pure and applied mathematics
500 ## - GENERAL NOTE
General note	Includes index.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc	Bibliography: p. [335]-336.
505 00 - FORMATTED CONTENTS NOTE
Formatted contents note	Machine derived contents note: Chapter 1: The Real and Complex Number Systems -- Introduction -- Ordered Sets -- Fields -- The Real Field -- The Extended Real Number System -- The Complex Field -- Euclidean Spaces -- Appendix -- Exercises -- Chapter 2: Basic Topology -- Finite, Countable, and Uncountable Sets -- Metric Spaces -- Compact Sets -- Perfect Sets -- Connected Sets -- Exercises -- Chapter 3: Numerical Sequences and Series -- Convergent Sequences -- Subsequences -- Cauchy Sequences -- Upper and Lower Limits -- Some Special Sequences -- Series -- Series of Nonnegative Terms -- The Number e -- The Root and Ratio Tests -- Power Series -- Summation by Parts -- Absolute Convergence -- Addition and Multiplication of Series -- Rearrangements -- Exercises -- Chapter 4: Continuity -- Limits of Functions -- Continuous Functions -- Continuity and Compactness -- Continuity and Connectedness -- Discontinuities -- Monotonic Functions -- Infinite Limits and Limits at Infinity -- Exercises -- Chapter 5: Differentiation -- The Derivative of a Real Function -- Mean Value Theorems -- The Continuity of Derivatives -- L'Hospital's Rule -- Derivatives of Higher-Order -- Taylor's Theorem -- Differentiation of Vector-valued Functions -- Exercises -- Chapter 6: The Riemann-Stieltjes Integral -- Definition and Existence of the Integral -- Properties of the Integral -- Integration and Differentiation -- Integration of Vector-valued Functions -- Rectifiable Curves -- Exercises -- Chapter 7: Sequences and Series of Functions -- Discussion of Main Problem -- Uniform Convergence -- Uniform Convergence and Continuity -- Uniform Convergence and Integration -- Uniform Convergence and Differentiation -- Equicontinuous Families of Functions -- The Stone-Weierstrass Theorem -- Exercises -- Chapter 8: Some Special Functions -- Power Series -- The Exponential and Logarithmic Functions -- The Trigonometric Functions -- The Algebraic Completeness of the Complex Field -- Fourier Series -- The Gamma Function -- Exercises -- Chapter 9: Functions of Several Variables -- Linear Transformations -- Differentiation -- The Contraction Principle -- The Inverse Function Theorem -- The Implicit Function Theorem -- The Rank Theorem -- Determinants -- Derivatives of Higher Order -- Differentiation of Integrals -- Exercises -- Chapter 10: Integration of Differential Forms -- Integration -- Primitive Mappings -- Partitions of Unity -- Change of Variables -- Differential Forms -- Simplexes and Chains -- Stokes' Theorem -- Closed Forms and Exact Forms -- Vector Analysis -- Exercises -- Chapter 11: The Lebesgue Theory -- Set Functions -- Construction of the Lebesgue Measure -- Measure Spaces -- Measurable Functions -- Simple Functions -- Integration -- Comparison with the Riemann Integral -- Integration of Complex Functions -- Functions of Class L� -- Exercises -- Bibliography -- List of Special Symbols -- Index.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematical analysis.
856 41 - ELECTRONIC LOCATION AND ACCESS
Materials specified	Table of contents only
Uniform Resource Identifier	http://www.loc.gov/catdir/toc/mh031/75017903.html
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified	Publisher description
Uniform Resource Identifier	http://www.loc.gov/catdir/enhancements/fy0602/75017903-d.html
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type	Books

Holdings
Price effective from	Date last seen	Permanent Location	Not for loan	Date acquired	Source of classification or shelving scheme	Koha item type	Lost status	Withdrawn status	Source of acquisition	Collection code	Damaged status	Shelving location	Barcode	Current Location	Full call number
2016-12-08	2016-12-08	Dhaka University Library		2016-12-08		Books			Purchased	Non Fiction		General Stacks	442620	Dhaka University Library	517 RUP

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Principles of mathematical analysis / (Record no. 132978)