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English
CRC Press
31 May 2017
Brings Readers Up to Speed in This Important and Rapidly Growing Area

Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological space, open and closed sets, separation axioms, and more, along with applications of the ideas in Morse, manifold, homotopy, and homology theories.

After discussing the key ideas of topology, the author examines the more advanced topics of algebraic topology and manifold theory. He also explores meaningful applications in a number of areas, including the traveling salesman problem, digital imaging, mathematical economics, and dynamical systems. The appendices offer background material on logic, set theory, the properties of real numbers, the axiom of choice, and basic algebraic structures.

Taking a fresh and accessible approach to a venerable subject, this text provides excellent representations of topological ideas. It forms the foundation for further mathematical study in real analysis, abstract algebra, and beyond.

By:  
Imprint:   CRC Press
Country of Publication:   United Kingdom
Dimensions:   Height: 254mm,  Width: 178mm, 
Weight:   453g
ISBN:   9781138114456
ISBN 10:   1138114456
Series:   Textbooks in Mathematics
Pages:   420
Publication Date:  
Audience:   College/higher education ,  Primary
Format:   Paperback
Publisher's Status:   Active

Steven G. Krantz is a professor in the Department of Mathematics at Washington University in St. Louis, Missouri, USA.

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