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Titlebook: Introduction to Topological Manifolds; John M. Lee Textbook 20001st edition Springer-Verlag New York 2000 Manifolds.Topology.Topology Mani

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書目名稱Introduction to Topological Manifolds
編輯John M. Lee
視頻videohttp://file.papertrans.cn/475/474286/474286.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Introduction to Topological Manifolds;  John M. Lee Textbook 20001st edition Springer-Verlag New York 2000 Manifolds.Topology.Topology Mani
描述This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of di?erential geometry, algebraic topology, and related ?elds. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. Here at the University of Washington, for example, this text is used for the ?rst third of a year-long course on the geometry and topology of manifolds; the remaining two-thirds focuses on smooth manifolds. Therearemanysuperbtextsongeneralandalgebraictopologyavailable. Why add another one to the catalog? The answer lies in my particular visionofgraduateeducation—itismy(admittedlybiased)beliefthatevery serious student of mathematics needs to know manifolds intimately, in the same way that most students come to know the integers, the real numbers, Euclidean spaces, groups, rings, and ?elds. Manifolds play a role in nearly every major branch of mathematics (as I illustrate in Chapter 1), and specialists in many ?elds ?nd themselves using concepts and terminology fromtopologyandmanifoldtheo
出版日期Textbook 20001st edition
關(guān)鍵詞Manifolds; Topology; Topology Manifolds; differential geometry; manifold
版次1
doihttps://doi.org/10.1007/b98853
isbn_ebook978-0-387-22727-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York 2000
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within more than a score of other disciplines on a level accessible to professional colleagues of other orientations as well as to advanced undergraduate and graduate students. Entries average 3,000 words. In practically all cases, they include lists of works "For Further Study." The Introduction b
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within more than a score of other disciplines on a level accessible to professional colleagues of other orientations as well as to advanced undergraduate and graduate students. Entries average 3,000 words. In practically all cases, they include lists of works "For Further Study." The Introduction b
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nes on a level accessible to professional colleagues of other orientations as well as to advanced undergraduate and graduate students. Entries average 3,000 words. In practically all cases, they include lists of works "For Further Study." The Introduction briefly chronicles the changing phenomenolog
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