MARC details
000 -LEADER |
fixed length control field |
02720cam a2200325 i 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20210811120301.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
130211m20139999enk b 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781107032033 (hardback) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781107675322 (paperback) |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Transcribing agency |
KABLIB |
Modifying agency |
KABLIB |
042 ## - AUTHENTICATION CODE |
Authentication code |
pcc |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
514.325 |
Edition number |
23 |
Item number |
GAR |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Garling, D. J. H. |
9 (RLIN) |
3879 |
245 10 - TITLE STATEMENT |
Title |
A course in mathematical analysis / |
Statement of responsibility, etc. |
D. J. H. Garling. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Cambridge : |
Name of producer, publisher, distributor, manufacturer |
Cambridge University Press, |
Date of production, publication, distribution, manufacture, or copyright notice |
2013. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
617 p . : |
Dimensions |
26 cm |
336 ## - CONTENT TYPE |
Content type term |
text |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
unmediated |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
volume |
Source |
rdacarrier |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
Includes bibliographical references and index. |
505 1# - FORMATTED CONTENTS NOTE |
Formatted contents note |
v. 2. Metric and topological spaces, functions of a vector variable |
505 8# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Machine generated contents note: Introduction; Part I. Metric and Topological Spaces: 1. Metric spaces and normed spaces; 2. Convergence, continuity and topology; 3. Topological spaces; 4. Completeness; 5. Compactness; 6. Connectedness; Part II. Functions of a Vector Variable: 7. Differentiating functions of a vector variable; 8. Integrating functions of several variables; 9. Differential manifolds in Euclidean space; Appendix A. Linear algebra; Appendix B. Quaternions; Appendix C. Tychonoff's theorem; Index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
"The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume I focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables: differentiation is developed in a co-ordinate free way, while integration (the Riemann integral) is established for functions defined on subsets of Euclidean space. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume III covers complex analysis and the theory of measure and integration. "-- |
Assigning source |
Provided by publisher. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Metric spaces. |
9 (RLIN) |
9797 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Topological spaces. |
9 (RLIN) |
9798 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Vector valued functions. |
9 (RLIN) |
9799 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
MATHEMATICS / Mathematical Analysis. |
Source of heading or term |
bisacsh |
9 (RLIN) |
3881 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Book |