广义微分几何(英文版) Diffeology研究领军人物所撰写的经典名著,是这一领域世界上的部教科书
本书是国际上Diffeology研究领军人物Patrick Iglesias-Zemmour所撰写的经典名著,是这一领域世界上的第 一部教科书。原书于2013年由美国数学学会(AMS)作为Mathematical Surveys and Monographs系列丛书中的一卷出版。此次世界图书出版公司2022年所出的版本由作者亲自对全书做了全面修订,并专门写了修订版序,指出了修改的地方及首版出版后该领域的一些新进展。作者另外还有一本与本书配套的新作《广义微分几何讲义》( Lectures on Diffeology )也将由世界图书出版公司出版。
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Product Details 基本信息 ISBN-13 书号 9780821891315 Author 作者 Patrick Iglesias-Zemmour Format 版本 精装 Pages Number 页数 439页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2013-04-09 Language 语种 英语 Book Contents 内容简介 Diffeology is an extension of differential geometry. With a minimal set of axioms, diffeology allows us to deal simply but rigorously with objects which do not fall within the usual field of differential geometry: quotients of manifolds (even non-Hausdorff), spaces of functions, groups of diffeomorphisms, etc. The category of diffeology objects is stable under standard set-theoretic operations, such as quotients, products, coproducts, subsets, limits, and colimits. With its right balance between rigor and simplicity, diffeology can be a good framework for many problems that appear in various areas of physics. Actually, the book lays the f
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