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" A first course in geometric topology and differential geometry / "
Ethan D. Bloch
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BL
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| Record Number
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700614
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| Doc. No
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b522803
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| Main Entry
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Bloch, Ethan D.,1956-
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| Title & Author
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A first course in geometric topology and differential geometry /\ Ethan D. Bloch
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| Publication Statement
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Boston :: Birkhäuser,, [1997]
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, ©1997
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| Page. NO
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xii, 421 pages :: illustrations ;; 24 cm
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| ISBN
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0817638407
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: 3764338407
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: 9780817638405
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: 9783764338404
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| Bibliographies/Indexes
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Includes bibliographical references (pages 391-395) and index
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| Contents
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Topology of subsets of Euclidean space -- Topological surfaces -- Simplicial surfaces -- Curves in R³ -- Smooth surfaces -- Curvature of smooth surfaces -- Geodesics -- The Gauss-Bonnet theorem
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| Abstract
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The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level
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| Subject
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Geometry, Differential
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Topology
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| Dewey Classification
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516.3/63
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| LC Classification
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QA611.B55 1997
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