000 -LEADER |
fixed length control field |
04230nam a22004815i 4500 |
001 - CONTROL NUMBER |
control field |
978-0-387-36219-9 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121231026.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2006 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780387362199 |
-- |
978-0-387-36219-9 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/0-387-36219-3 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA8.9-10.3 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBC |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBCD |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT018000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
511.3 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Komjáth, Péter. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Problems and Theorems in Classical Set Theory |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by Péter Komjáth, Vilmos Totik. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
New York, NY : |
Name of producer, publisher, distributor, manufacturer |
Springer New York, |
Date of production, publication, distribution, manufacture, or copyright notice |
2006. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XII, 516 p. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Problem Books in Mathematics, |
International Standard Serial Number |
0941-3502 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Problems -- Operations on sets -- Countability -- Equivalence -- Continuum -- Sets of reals and real functions -- Ordered sets -- Order types -- Ordinals -- Ordinal arithmetic -- Cardinals -- Partially ordered sets -- Transfinite enumeration -- Euclidean spaces -- Zorn’s lemma -- Hamel bases -- The continuum hypothesis -- Ultrafilters on ? -- Families of sets -- The Banach-Tarski paradox -- Stationary sets in ?1 -- Stationary sets in larger cardinals -- Canonical functions -- Infinite graphs -- Partition relations -- ?-systems -- Set mappings -- Trees -- The measure problem -- Stationary sets in [?] -- The axiom of choice -- Well-founded sets and the axiom of foundation -- Solutions -- Operations on sets -- Countability -- Equivalence -- Continuum -- Sets of reals and real functions -- Ordered sets -- Order types -- Ordinals -- Ordinal arithmetic -- Cardinals -- Partially ordered sets -- Transfinite enumeration -- Euclidean spaces -- Zorn’s lemma -- Hamel bases -- The continuum hypothesis -- Ultrafilters on ? -- Families of sets -- The Banach-Tarski paradox -- Stationary sets in ?1 -- Stationary sets in larger cardinals -- Canonical functions -- Infinite graphs -- Partition relations -- ?-systems -- Set mappings -- Trees -- The measure problem -- Stationary sets in [?] -- The axiom of choice -- Well-founded sets and the axiom of foundation. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This is the first comprehensive collection of problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period between 1920-1970. Many problems are also related to other fields of mathematics such as algebra, combinatorics, topology and real analysis. The authors choose not to concentrate on the axiomatic framework, although some aspects are elaborated (axiom of foundation and the axiom of choice). Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. The problems are organized in a way that earlier problems help in the solution of later ones. For many problems, the authors trace the origin and provide proper references at the end of the solution. The book follows a tradition of Hungarian mathematics started with Pólya-Szegõ's problem book in analysis and continued with Lovász' problem book in combinatorics. This is destined to become a classic, and will be an important resource for students and researchers. Péter Komjáth is a professor of mathematics at the Eötvös Lóránd University, Budapest. Vilmos Totik is a professor of mathematics at the University of South Florida, Tampa and University of Szeged. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematical logic. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Combinatorics. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematical Logic and Foundations. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Combinatorics. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Totik, Vilmos. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9780387302935 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Problem Books in Mathematics, |
International Standard Serial Number |
0941-3502 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/0-387-36219-3 |
912 ## - |
-- |
ZDB-2-SMA |