Radical approach to Lebesgue's theory of integration / (Record no. 109652)

MARC details
000 -LEADER
fixed length control field 03013cam a2200373 a 4500
001 - CONTROL NUMBER
control field 14978499
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210831143116.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 070824s2008 enka b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2007035326
015 ## - NATIONAL BIBLIOGRAPHY NUMBER
National bibliography number GBA808757
Source bnb
016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER
Record control number 014500130
Source Uk
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521711838 (pbk.)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)ocn180851909
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)180851909
Canceled/invalid control number (OCoLC)180751254
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Transcribing agency DLC
Modifying agency BAKER
-- BTCTA
-- C#P
-- UKM
-- YDXCP
-- IXA
-- DLC
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.42 BRE
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bressoud, David M.,
Dates associated with a name 1950-
245 12 - TITLE STATEMENT
Title Radical approach to Lebesgue's theory of integration /
Statement of responsibility, etc. David M. Bressoud.
246 ## - VARYING FORM OF TITLE
Title proper/short title A radical approach to Lebesgue's theory of integration
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Cambridge ;
-- New York :
Name of publisher, distributor, etc. Cambridge University Press,
Date of publication, distribution, etc. 2008.
300 ## - PHYSICAL DESCRIPTION
Extent xiv, 329 p. :
Other physical details ill. ;
Dimensions 26 cm.
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE
Title MAA textbooks
500 ## - GENERAL NOTE
General note TB2885/01<br/>GBP 38.99 Rs.4192/-
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (p. 317-322) and index.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction<br/>2. The Riemann integral<br/>3. Explorations of R<br/>4. Nowhere dense sets and the problem with the fundamental theorem of calculus<br/>5. The development of measure theory<br/>6. The Lebesgue integral<br/>7. The fundamental theorem of calculus<br/>8. Fourier series<br/>9. Epilogue: A. Other directions<br/>B. Hints to selected exercises.
520 ## - SUMMARY, ETC.
Summary, etc. Meant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined. The story begins with Riemann's definition of the integral, a definition created so that he could understand how broadly one could define a function and yet have it be integrable. The reader then follows the efforts of many mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work in the late 19th and early 20th centuries of Jordan, Borel, and Lebesgue, who finally broke with Riemann's definition. Ushering in a new way of understanding integration, they opened the door to fresh and productive approaches to many of the previously intractable problems of analysis.<br/><br/>Exercises at the end of each section, allowing students to explore their understanding<br/>Hints to help students get started on challenging problems<br/>Boxed definitions make it easier to identify key definitions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Integrals, Generalized.
856 41 - ELECTRONIC LOCATION AND ACCESS
Materials specified Table of contents only
Uniform Resource Identifier <a href="http://www.loc.gov/catdir/enhancements/fy0803/2007035326-t.html">http://www.loc.gov/catdir/enhancements/fy0803/2007035326-t.html</a>
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified Publisher description
Uniform Resource Identifier <a href="http://www.loc.gov/catdir/enhancements/fy0803/2007035326-d.html">http://www.loc.gov/catdir/enhancements/fy0803/2007035326-d.html</a>
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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 Collection code Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     SIAS Collection H.T. Parekh Library H.T. Parekh Library 31/08/2021   515.42 BRE K4292 31/08/2021 31/08/2021 Books

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