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Essentials of Topology with Applications

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by Steven G. Krantz
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Essentials of Topology with Applications by Steven G. Krantz

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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Ebook Details
Pages: 420
Size: 5.5 MB
Publisher: CRC Press
Date published:   2009
ISBN: 9781420089752 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Science > Mathematical Physics
Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Functional Analysis

This author has products in the following categories:

Nonfiction > Mathematics > Discrete Mathematics
Nonfiction > Mathematics > Calculus
Nonfiction > Technology
Nonfiction > Mathematics > Mathematical Analysis
Nonfiction > Mathematics > Study & Teaching
Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Functional Analysis
Nonfiction > Science > Mathematical Physics
Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Set Theory
Nonfiction > Mathematics > Arithmetic

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