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Real and Complex Analysis / (Record no. 16803)

MARC details
000 -LEADER
fixed length control field	03747nam a2200253 a 4500
001 - CONTROL NUMBER
control field	vtls000001664
003 - CONTROL NUMBER IDENTIFIER
control field	VRT
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20250102224223.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	081108s1987 nyu \|b 000 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	0070542341
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	0071002766 (ISE)
039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE]
Level of rules in bibliographic description	202301181054
Level of effort used to assign nonsubject heading access points	shakra
Level of effort used to assign subject headings	201402040100
Level of effort used to assign classification	VLOAD
Level of effort used to assign subject headings	201007190953
Level of effort used to assign classification	malmash
Level of effort used to assign subject headings	200811091304
Level of effort used to assign classification	venkatrajand
--	200811081237
--	Noora
050 #0 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA300
Item number	.R82 1987
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Rudin, Walter,
Dates associated with a name	1921-
9 (RLIN)	37814
245 10 - TITLE STATEMENT
Title	Real and Complex Analysis /
Statement of responsibility, etc.	Walter Rudin
250 ## - EDITION STATEMENT
Edition statement	3rd edition
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc.	New York :
Name of publisher, distributor, etc.	McGraw-Hill,
Date of publication, distribution, etc.	1986
300 ## - PHYSICAL DESCRIPTION
Extent	xi, 416 p. ;
Dimensions	22 cm
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note	Bibliography: p. 405-406
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note	Preface Prologue: The Exponential Function Chapter 1: Abstract Integration Set-theoretic notations and terminology The concept of measurability Simple functions Elementary properties of measures Arithmetic in [0, 8] Integration of positive functions Integration of complex functions The role played by sets of measure zero Exercises Chapter 2: Positive Borel Measures Vector spaces Topological preliminaries The Riesz representation theorem Regularity properties of Borel measures Lebesgue measure Continuity properties of measurable functions Exercises Chapter 3: Lp-Spaces Convex functions and inequalities The Lp-spaces Approximation by continuous functions Exercises Chapter 4: Elementary Hilbert Space Theory Inner products and linear functionals Orthonormal sets Trigonometric series Exercises Chapter 5: Examples of Banach Space Techniques Banach spaces Consequences of Baire's theorem Fourier series of continuous functions Fourier coefficients of L1-functions The Hahn-Banach theorem An abstract approach to the Poisson integral Exercises Chapter 6: Complex Measures Total variation Absolute continuity Consequences of the Radon-Nikodym theorem Bounded linear functionals on Lp The Riesz representation theorem Exercises Chapter 7: Differentiation Derivatives of measures The fundamental theorem of Calculus Differentiable transformations Exercises Chapter 8: Integration on Product Spaces Measurability on cartesian products Product measures The Fubini theorem Completion of product measures Convolutions Distribution functions Exercises Chapter 9: Fourier Transforms Formal properties The inversion theorem The Plancherel theorem The Banach algebra L1 Exercises Chapter 10: Elementary Properties of Holomorphic Functions Complex differentiation Integration over paths The local Cauchy theorem The power series representation The open mapping theorem The global Cauchy theorem The calculus of residues Exercises Chapter 11: Harmonic Functions The Cauchy-Riemann equations The Poisson integration.
520 ## - SUMMARY, ETC.
Summary, etc.	This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Mathematical analysis
9 (RLIN)	4699
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme	Library of Congress Classification
Suppress in OPAC	No
Koha item type	Books

Holdings
Source of classification or shelving scheme	Home library	Current library	Shelving location	Date acquired	Full call number	Barcode	Date last seen	Copy number	Price effective from	Koha item type	Cost, normal purchase price	Cost, replacement price
Library of Congress Classification	Library	Library	First Floor	21/12/2024	QA300 .R82 1987	8413	21/12/2024	1	21/12/2024	Books
Library of Congress Classification	Library	Library	First Floor	21/12/2024	QA300 .R82 1987	22248	21/12/2024	2	21/12/2024	Books	10.36	20.72
Library of Congress Classification	Library	Library	First Floor	21/12/2024	QA300 .R82 1987	22260	21/12/2024	3	21/12/2024	Books	23.11	46.22

Real and Complex Analysis / (Record no. 16803)

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