{"product_id":"introduction-to-topology-and-geometry-ciprian-manolescu-9780691284477","title":"Introduction to Topology and Geometry","description":"\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ciprian Manolescu\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691284474\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691284477\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/11\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 256\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.18lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.63d","brand":"Ciprian Manolescu","offers":[{"title":"Hardcover","offer_id":48997203968255,"sku":"9780691284477","price":99.95,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/introduction-to-topology-and-geometry-ciprian-manolescu-9780691284477","provider":"WR Book House","version":"1.0","type":"link"}