{"product_id":"9783032329448","title":"Riemannian Geometry and Geometric Analysis","description":"\u003ch3\u003eUniversitext\u003c\/h3\u003e\u003ch1\u003eRiemannian Geometry and Geometric Analysis\u003c\/h1\u003e\u003ch3\u003eJürgen Jost\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Geometry \/ Differential\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\u003cdiv\u003eRiemannian geometry and geometric analysis are flourishing fields with applications in physics, statistics, and machine learning. This textbook develops both fundamental concepts and more advanced topics shaped by recent progress. The 8th edition expands coverage with a systematic treatment of total scalar curvature, from which the Einstein equations, Ricci flow, and the Yamabe problem emerge, and includes new perspectives on generalized sectional and Ricci curvatures as well as Kirillov’s coadjoint orbits. It introduces core notions such as geodesics, connections, and curvature, alongside key tools of geometric analysis, including harmonic functions, forms, eigenvalues, the Dirac operator, and heat flow, and highlights major variational principles like harmonic maps, Yang–Mills, Ginzburg–Landau and \u003cspan data-olk-copy-source=\"MessageBody\"\u003eSeiberg-Witten\u003c\/span\u003e. The book offers a coherent geometric framework while equipping readers with practical methods for further study and research.\u003c\/div\u003e\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cstrong\u003eJürgen Jost\u003c\/strong\u003e is a \u003cspan data-olk-copy-source=\"MessageBody\"\u003eScientific Member\u003c\/span\u003e of the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany, an Honorary Professor at the Department of Mathematics and Computer Sciences at Leipzig University, \u003cspan data-olk-copy-source=\"MessageBody\"\u003ea PI at ScaDS.AI Dresden\/Leipzig,\u003c\/span\u003e\u003cstrong\u003e \u003c\/strong\u003eand an External Faculty Member of the Santa Fe Institute for the Sciences of Complexity, New Mexico, USA. He is also the author of numerous books and over 500 publications in scientific journals.\u003c\/p\u003e\r\n\u003cp\u003e \u003c\/p\u003e\r\n\u003cp\u003e \u003c\/p\u003e\r\n\u003cp\u003e \u003c\/p\u003e\r\n\u003cp\u003e \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e06 September 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032329448\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback \/ softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":50803465388172,"sku":"9783032329448","price":71.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032329448.jpg?v=1781753158","url":"https:\/\/lateknightbooks.com\/products\/9783032329448","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}