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> |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
a |
7 |
b |
cbc |
c |
orignew |
d |
1 |
e |
ecip |
f |
20 |
g |
y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Books |