{"product_id":"riemannian-geometry-and-geometric-analysis-paperback","title":"Riemannian Geometry and Geometric Analysis - Paperback","description":"\u003cp\u003eby \u003cb\u003eJürgen Jost\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. \u003cbr\u003eThe 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature.\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003ci\u003eFrom the reviews: \u003c\/i\u003e\"This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome.\" \u003ci\u003e\u003cb\u003eMathematical Reviews\u003c\/b\u003e\u003c\/i\u003e\u003cbr\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\"For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained. The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field.\" \u003ci\u003e\u003cb\u003eMonatshefte für Mathematik\u003c\/b\u003e\u003c\/i\u003e\u003cbr\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003ci\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003cbr\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003c\/i\u003e\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThis established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. \u003cbr\u003eThe 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature.\u003cbr\u003e\u003ci\u003eFrom the reviews: \u003c\/i\u003e\"This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome.\" \u003ci\u003e\u003cb\u003eMathematical Reviews\u003c\/b\u003e\u003c\/i\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\"For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained ... The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field.\" \u003ci\u003e\u003cb\u003eMonatshefte für Mathematik\u003c\/b\u003e\u003c\/i\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003ci\u003e\u003c\/i\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eJürgen Jost\u003c\/b\u003e is Codirector 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, and an External Faculty Member of the Santa Fe Institute for the Sciences of Complexity, New Mexico, USA.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eHe is the author of a number of further Springer textbooks including \u003ci\u003ePostmodern Analysis\u003c\/i\u003e (1997, 2002, 2005), \u003ci\u003eCompact Riemann Surfaces\u003c\/i\u003e (1997, 2002, 2006), \u003ci\u003ePartial Differential Equations\u003c\/i\u003e (2002, 2007, 2013), \u003ci\u003eDifferentialgeometrie und Minimalflächen\u003c\/i\u003e (1994, 2007, 2014, with J. Eschenburg), \u003ci\u003eDynamical Systems\u003c\/i\u003e (2005), \u003ci\u003eMathematical Concepts\u003c\/i\u003e (2015), as well as several research monographs, such as \u003ci\u003eGeometry and Physics\u003c\/i\u003e (2009), and many publications in scientific journals.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 697\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.42 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 23, 2017\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42105751339143,"sku":"9783319618593","price":178.18,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0601\/2623\/2711\/files\/8d7b967652e3bc45782d957a18bce7a1.webp?v=1732437492","url":"https:\/\/booksby.splitshops.com\/products\/riemannian-geometry-and-geometric-analysis-paperback","provider":"Books by splitShops","version":"1.0","type":"link"}