MARC details
| 000 -LEADER |
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| fixed length control field |
03277nam a22003137a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240301173605.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240229b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789819706037 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Transcribing agency |
NISER LIBRARY |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
English |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.1 |
| Item number |
PAR-T |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Parthasarathy, K. |
| Fuller form of name |
[Krishnan Parthasarathy] |
| 245 ## - TITLE STATEMENT |
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| Title |
Topology: |
| Remainder of title |
an invitation |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Singapore: |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
2022. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvii, 267p. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
UNITEXT |
| Volume/sequential designation |
134 |
| International Standard Serial Number |
2038-5714 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Apéritif: The Intermediate Value Theorem<br/><br/>2. Metric Spaces<br/><br/>3. Topological Spaces<br/><br/>4. Continuous Maps<br/><br/>5. Compact Spaces<br/><br/>6. Topologies Defined by Maps<br/><br/>7. Products of Compact Spaces<br/><br/>8. Separation Axioms<br/><br/>9. Connected Spaces<br/><br/>10. Countability Axioms<br/><br/>11. Locally Compact Spaces<br/><br/>12. Complete Metric Spaces<br/><br/>13. Combinatorial Methods in Euclidean Topology<br/><br/>14. Homotopy<br/><br/>15. Fundamental Groups and Covering Spaces |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This book starts with a discussion of the classical intermediate value theorem and some of its uncommon “topological” consequences as an appetizer to whet the interest of the reader. It is a concise introduction to topology with a tinge of historical perspective, as the author’s perception is that learning mathematics should be spiced up with a dash of historical development. All the basics of general topology that a student of mathematics would need are discussed, and glimpses of the beginnings of algebraic and combinatorial methods in topology are provided.<br/><br/>All the standard material on basic set topology is presented, with the treatment being sometimes new. This is followed by some of the classical, important topological results on Euclidean spaces (the higher-dimensional intermediate value theorem of Poincaré–Miranda, Brouwer’s fixed-point theorem, the no-retract theorem, theorems on invariance of domain and dimension, Borsuk’s antipodal theorem, the Borsuk–Ulam theorem and the Lusternik–Schnirelmann–Borsuk theorem), all proved by combinatorial methods. This material is not usually found in introductory books on topology. The book concludes with an introduction to homotopy, fundamental groups and covering spaces.<br/><br/>Throughout, original formulations of concepts and major results are provided, along with English translations. Brief accounts of historical developments and biographical sketches of the dramatis personae are provided. Problem solving being an indispensable process of learning, plenty of exercises are provided to hone the reader's mathematical skills. The book would be suitable for a first course in topology and also as a source for self-study for someone desirous of learning the subject. Familiarity with elementary real analysis and some felicity with the language of set theory and abstract mathematical reasoning would be adequate prerequisites for an intelligent study of the book. |
| 600 ## - SUBJECT ADDED ENTRY--PERSONAL NAME |
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| Personal name |
K. Parthasarathy |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Topology |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Poincare theorem |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Fixed point |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Antipodal Map |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Fundamental Group |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Domain and Dimension Invariance |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-981-16-9484-4">https://link.springer.com/book/10.1007/978-981-16-9484-4</a> |
| Link text |
Topology: An Invitation |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
NBHM Books |
| Source of classification or shelving scheme |
Universal Decimal Classification |
