Topology (Record no. 60032)

000 -LEADER
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
Holdings
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)
        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
The Institute of Mathematical Sciences, Chennai, India

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