{"product_id":"essentials-of-topology-with-applications-9781138114456","title":"Essentials of Topology with Applications","description":"\u003cp\u003e • Author(s): Steven G. Krantz\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Functional Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eBrings Readers Up to Speed in This Important and Rapidly Growing Area\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003eSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, \u003cstrong\u003eEssentials of Topology with Applications\u003c\/strong\u003e 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.\u003c\/p\u003e\u003cp\u003eAfter 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.\u003c\/p\u003e\u003cp\u003eTaking 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Paperback","offer_id":45238213509271,"sku":"9781138114456","price":9800.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781138114456.webp?v=1769219005","url":"https:\/\/atlanticbooks.com\/products\/essentials-of-topology-with-applications-9781138114456","provider":"Atlantic Books","version":"1.0","type":"link"}