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Essentials of Topology with Applications
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Essentials of Topology with Applications

Book Details

Format Hardback or Cased Book
ISBN-10 1420089749
ISBN-13 9781420089745
Publisher Taylor & Francis Ltd
Imprint Chapman & Hall/CRC
Country of Manufacture US
Country of Publication GB
Publication Date Jul 28th, 2009
Print length 420 Pages
Weight 910 grams
Dimensions 26.10 x 18.60 x 2.30 cms
Ksh 39,600.00
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Provides an introduction to the basics of modern topology. This work 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.

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.


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