000 -LEADER |
fixed length control field |
02997nam a22004815i 4500 |
001 - CONTROL NUMBER |
control field |
978-0-387-28387-6 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121230926.0 |
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 |
100301s2005 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780387283876 |
-- |
978-0-387-28387-6 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/0-387-28387-0 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA611-614.97 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBP |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT038000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
514 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Runde, Volker. |
Relator term |
author. |
245 12 - TITLE STATEMENT |
Title |
A Taste of Topology |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by Volker Runde ; edited by S Axler, K.A. Ribet. |
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 |
2005. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
X, 182 p. 17 illus. |
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 |
Universitext |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Preface -- Introduction -- Set Theory -- Metric Spaces -- Set Theoretic Topology -- Systems of Continuous Functions -- Basic Algebraic Topology -- The Classical Mittag-Leffler Theorem Derived from Bourbaki’s -- Failure of the Heine-Borel Theorem in Infinite-Dimensional Spaces -- The Arzela-Ascoli Theorem -- References -- List of Symbols -- Index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language. The present book grew out of notes for an introductory topology course at the University of Alberta. It provides a concise introduction to set-theoretic topology (and to a tiny little bit of algebraic topology). It is accessible to undergraduates from the second year on, but even beginning graduate students can benefit from some parts. Great care has been devoted to the selection of examples that are not self-serving, but already accessible for students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In some points, the book treats its material differently than other texts on the subject: * Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; * Nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem; * A short and elegant, but little known proof for the Stone-Weierstrass theorem is given. |
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 |
Topology. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebraic topology. |
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 |
Topology. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebraic Topology. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Axler, S. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Ribet, K.A. |
Relator term |
editor. |
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 |
9780387257907 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Universitext |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/0-387-28387-0 |
912 ## - |
-- |
ZDB-2-SMA |