{"product_id":"an-introduction-to-analysis-9780691178790","title":"An Introduction to Analysis","description":"\u003cp\u003e\u003cb\u003eAn essential undergraduate textbook on algebra, topology, and calculus\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003ci\u003eAn Introduction to Analysis\u003c\/i\u003e is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course, this unique textbook also introduces students to rigorous proofs and formal mathematical writing--skills they need to excel. \u003cp\u003e\u003c\/p\u003eWith a range of problems throughout, \u003ci\u003eAn Introduction to Analysis\u003c\/i\u003e treats \u003ci\u003en\u003c\/i\u003e-dimensional calculus from the beginning--differentiation, the Riemann integral, series, and differential forms and Stokes's theorem--enabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology, such as normed and metric spaces, topological spaces, compact sets, and the Baire category theorem. It covers linear algebra as well, including vector spaces, linear mappings, Jordan normal form, bilinear mappings, and normal mappings. \u003cp\u003e\u003c\/p\u003eProven in the classroom, \u003ci\u003eAn Introduction to Analysis\u003c\/i\u003e is the first textbook to bring these topics together in one easy-to-use and comprehensive volume.\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eProvides a rigorous introduction to calculus in one and several variables\u003c\/li\u003e\n\u003cli\u003eIntroduces students to basic topology\u003c\/li\u003e\n\u003cli\u003eCovers topics in linear algebra, including matrices, determinants, Jordan normal form, and bilinear and normal mappings\u003c\/li\u003e\n\u003cli\u003eDiscusses differential forms and Stokes's theorem in \u003ci\u003en\u003c\/i\u003e dimensions\u003c\/li\u003e\n\u003cli\u003eAlso covers the Riemann integral, integrability, improper integrals, and series expansions\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eRobert C. Gunning\u003c\/b\u003e is professor of mathematics at Princeton University. His books include \u003ci\u003eLectures on Riemann Surfaces\u003c\/i\u003e and \u003ci\u003eLectures on ComplexAnalytic Varieties\u003c\/i\u003e (both Princeton).\u003cbr\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":50649872498962,"sku":"9780691178790","price":104.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_9f650574-07dd-4aa3-a40e-951b11f321b4.jpg?v=1733275432","url":"https:\/\/surprise-castle.myshopify.com\/products\/an-introduction-to-analysis-9780691178790","provider":"Surprise Castle","version":"1.0","type":"link"}