Click Here to Download: https://ouo.io/YuyIIz Essentials of Topology with Applications By: Steven G. Krantz Publisher: Chapman and Hall/CRC Print ISBN: 9781420089745, 1420089749 eText ISBN: 9781420089752, 1420089757 Edition: 1st Copyright year: 2011 Format: PDF Available from $ 31.98 USD SKU 9781420089752R90 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. Additional ISBNs 9781138114456, 1138114456
