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020			_a9780821887059
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a515.1 _bGOO-B
100			_aGoodman, Sue E.
245			_aBeginning topology
250			_aIndian Edition
260			_aHyderabad : _bUniversities Press, _c2012.
300			_axiii, 236p. _bill. ; _c24 cm.
490			_aPure and applied undergraduate texts ; _v10
504			_aIncludes bibliographical references (p. 230-233) and index.
505			_a
520			_aBeginning Topology is designed to give undergraduate students a broad notion of the scope of topology in areas of point-set, geometric, combinatorial, differential, and algebraic topology, including an introduction to knot theory. A primary goal is to expose students to some recent research and to get them actively involved in learning. Exercises and open-ended projects are placed throughout the text, making it adaptable to seminar-style classes. The book starts with a chapter introducing the basic concepts of point-set topology, with examples chosen to captivate students' imaginations while illustrating the need for rigor. Most of the material in this and the next two chapters is essential for the remainder of the book. One can then choose from chapters on map coloring, vector fields on surfaces, the fundamental group, and knot theory. A solid foundation in calculus is necessary, with some differential equations and basic group theory helpful in a couple of chapters. Topics are chosen to appeal to a wide variety of primarily upper-level math majors, but also a few freshmen and sophomores as well as graduate students from physics, economics, and computer science. All students will benefit from seeing the interaction of topology with other fields of mathematics and science; some will be motivated to continue with a more in-depth, rigorous study of topology.
650			_aTopology
856			_uTable of Content _3https://www.ams.org/bookstore/pspdf/amstext-10-toc.pdf?_gl=1*gq7fi*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxNzk5NTUxNi4xLjEuMTcxNzk5NTc2Mi4wLjAuMA..
856			_uReviews _3https://www.goodreads.com/book/show/12043542-beginning-topology?ref=nav_sb_ss_1_18#CommunityReviews
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