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A Basic Course in Topology (Paperback) (ISBN-13: 9783662706015)
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Gerd Laures
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Books
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Description
xThis book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and linear algebra and more advanced classes in algebraic and geometric topology, making it particularly suitable for both undergraduate and graduate mathematics students. The authors employ the modern language of category theory to unify and clarify the concepts presented, with definitions supported by numerous examples and illustrations. The book includes over 170 exercises that reinforce and deepen the understanding of the material.
Author: Gerd Laures, Markus Szymik
ISBN-10: 3662706016
ISBN-13: 9783662706015
Publisher: Birkhauser
Language: English
Published: 02/15/2025
Pages: 245
Format: Paperback
Weight: 0.81lbs
Size: 9.21h x 6.14w x 0.55d
By Gerd Laures
xGerd Laures holds the Chair of Topology at the University of Bochum. He is jointly responsible for the education of students in bachelor's and master's programs, as well as for doctoral training. Previously, he worked at the universities of Bonn, Heidelberg, Mainz, and at MIT in Boston (USA).
Markus Szymik holds a Chair of Pure Mathematics at the University of Sheffield. He studied mathematics and philosophy at the universities of G?ttingen and Bielefeld and has done research at various other institutions at Bochum, Bonn, Cambridge, Copenhagen, D?sseldorf, Harvard, MIT, NTNU, Oxford, Stanford, and Stockholm. His research focuses on algebraic and geometric problems related to symmetries.
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