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Topology: An Invitation (UNITEXT, 134) free ebook download

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Mathematics

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Author(s):	K. Parthasarathy

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	9811694834
Pages:	284	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	7/15/2022 6:54:14 AM

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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 PoincarMiranda, 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.
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3136218	Book	https://rapidgator.net/file/43ee341cc65f...		0.00	alex21s

Tags: Invitation Topology UNITEXT

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Topology: An Invitation (UNITEXT, 134) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics