{"product_id":"9789819212347","title":"Analysis on Manifolds","description":"\u003ch1\u003eAnalysis on Manifolds\u003c\/h1\u003e\u003ch3\u003eJiayu Li\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eAnalysis on manifolds has become one of the most dynamic and influential areas of modern mathematics, driving breakthroughs in geometry, partial differential equations, and mathematical physics, while increasingly shaping fields such as statistics, data science, and artificial intelligence. This book offers a clear and engaging introduction to the powerful analytic and geometric techniques that have defined the subject—from Yau’s gradient estimates and the Li–Yau differential Harnack inequality to the Sacks–Uhlenbeck blow‑up method and contemporary geometric flows.\u003c\/p\u003e\n\u003cp\u003eSpanning seven cohesive chapters, the book blends foundational theory with modern developments, guiding readers through heat kernel analysis, harmonic map theory, minimal surfaces, and geometric flows. The final chapters showcase new results arising from the author’s recent collaborations, highlighting cutting‑edge progress on β‑symplectic critical surfaces and mean curvature flows.\u003c\/p\u003e\n\u003cp\u003eAccessible yet rigorous, this book is ideal for researchers and advanced students seeking both a solid grounding in geometric analysis and a window into current research at the forefront of the field.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003e\u003cspan style=\"color: windowtext;\"\u003eJiayu Li, a Distinguished Chair Professor at the School of Mathematical Sciences, USTC, is dedicated to research in geometric analysis. In recognition of his contributions to the field, he has received the State Natural Science Award (Second Class) and the Shiing-Shen Chern Prize from the Chinese Mathematical Society. He has been a Humboldt Fellow at the Max Planck Institute (MPI) in Germany, a Research Scientist at the Abdus Salam ICTP, and the Head of the MPI Partner Group for Mathematics at the Academy of Mathematics and Systems Science.\u003c\/span\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e02 August 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Singapore\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\u003e9789819212347\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e285\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Singapore","offers":[{"title":"Default Title","offer_id":47757040746636,"sku":"9789819212347","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789819212347.jpg?v=1781089272","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789819212347","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}