{"product_id":"introduction-to-topology-and-geometry-hardcover","title":"Introduction to Topology and Geometry - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eCiprian Manolescu\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eA concise and unified introduction to the foundational concepts of modern topology and geometry\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eTopology and geometry are branches of mathematics with applications in fields ranging from physics and chemistry to computer science and economics. This textbook offers a rigorous yet accessible approach to the subject that integrates key concepts while providing a robust toolkit that can serve as a starting point for further specialization in diverse areas. It builds intuition by first exploring metric spaces and identifying which properties are topological--that is, unchanged by continuous transformations--and goes on to discuss topological spaces, topological manifolds, simplicial complexes, smooth manifolds, and Riemannian manifolds. Richly illustrated to encourage students to think visually, \u003ci\u003eIntroduction to Topology and Geometry\u003c\/i\u003e is an essential introduction for advanced undergraduates and beginning graduate students in mathematics and related disciplines.\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eProvides a unified treatment of point-set topology, differential topology, and differential geometry\u003c\/li\u003e\n\u003cli\u003ePrioritizes a deep understanding of core definitions and concepts\u003c\/li\u003e\n\u003cli\u003eIncludes complete proofs of the inverse and implicit function theorems, Sard's theorem, the Whitney embedding theorem, and Gauss's \u003ci\u003eTheorema Egregium\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eFeatures exercises at the end of each section and a wealth of figures that illustrate the proofs, definitions, and examples presented in the text\u003c\/li\u003e\n\u003cli\u003eAdaptable to semester-long and quarter-long courses\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eCiprian Manolescu\u003c\/b\u003e is professor of mathematics at Stanford University.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 256\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.63 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e August 11, 2026\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":45648381739143,"sku":"9780691284477","price":170.91,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0601\/2623\/2711\/files\/hhZwf2BEs59780691284477.webp?v=1787222755","url":"https:\/\/booksby.splitshops.com\/products\/introduction-to-topology-and-geometry-hardcover","provider":"Books by splitShops","version":"1.0","type":"link"}