Topology (Record no. 60032)
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000 -LEADER | |
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fixed length control field | 02649 a2200217 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 230515b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9789819706037(PB) |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
Universal Decimal Classification number | 515.1 |
Item number | PAR |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Parthasarathy, K |
245 ## - TITLE STATEMENT | |
Title | Topology |
Sub Title | An Invitation |
250 ## - EDITION STATEMENT | |
Edition statement | Indian Edition |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Singapore |
Name of publisher | Springer |
Year of publication | 2024 |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xvii,267p |
490 ## - SERIES STATEMENT | |
Series statement | Unitext |
Volume number/sequential designation | 134 |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Aperitif: The Intermediate Value Theorem<br/>Metric spaces<br/>Topological spaces<br/>Continuous maps<br/>Compact spaces<br/>Topologies dened by maps<br/>Products of compact spaces<br/>Separation axioms<br/>Connected spaces<br/>Countability axioms |
520 ## - SUMMARY, ETC. | |
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 authors 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. 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 PoincareMiranda, Brouwers fixed-point theorem, the no-retract theorem, theorems on invariance of domain and dimension, Borsuks antipodal theorem, the BorsukUlam theorem and the LusternikSchnirelmannBorsuk 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. 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"--Back cover |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Topology |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
Topical term or geographic name as entry element | Mathematics |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | BOOKS |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Copy number | Koha item type | Owner (If the Item is Gratis) |
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IMSc Library | Multiple Copies Section | 515.1 PAR | 77510 | 1 | BOOKS | NBHM through KNR | ||||
IMSc Library | Multiple Copies Section | 515.1 PAR | 77525 | 2 | BOOKS | NBHM through R. Balasubramanian |