Algebraic Models in Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Felix, Yves/ Oprea, John/ Tanre, Daniel 作者

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2008-4 出版日期

488 页数

$ 141.25 价格

丛书系列

9780199206513 图书编码

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发表于2024-11-12

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Algebraic Models in Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus need a simple and concrete introduction to rational homotopy. This is essentially a book of applications. Geodesics, curvature, embeddings of manifolds, blow-ups, complex and Kahler manifolds, symplectic geometry, torus actions, configurations and arrangements are all covered. The chapters related to these subjects act as an introduction to the topic, a survey, and a guide to the literature. But no matter what the particular subject is, the central theme of the book persists; namely, there is a beautiful connection between geometry and rational homotopy which both serves to solve geometric problems and spur the development of topological methods.

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