Elementary differential geometry /

Bibliographic Details
Main Author: O'Neill, Barrett (Author)
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: New York : Academic Press, [1966]
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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100 1 |a O'Neill, Barrett,  |e author. 
245 1 0 |a Elementary differential geometry /  |c Barrett O'Neill. 
264 1 |a New York :  |b Academic Press,  |c [1966] 
264 4 |c ©1966 
300 |a 1 online resource (viii, 411 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (page 391). 
505 0 |a Front Cover; Elementary Differential Geometry; Copyright Page; Preface; Table of Contents; Introduction; Chapter I. Calculus on Euclidean Space; 1 Euclidean Space; 2 Tangent Vectors; 3 Directional Derivatives; 4 Curves in E; 5 1-Forms; 6 Differential Forms; 7 Mappings; 8 Summary; Chapter II. Frame Fields; 1 Dot Product; 2 Curves; 3 The Frenet Formulas; 4 Arbitrary-Speed Curves; 5 Covariant Derivatives; 6 Frame Fields; 7 Connection Forms; 8 The Structural Equations; 9 Summary; Chapter III. Euclidean Geometry; 1 Isometries of E; 2 The Derivative Map of an Isometry; 3 Orientation. 
505 8 |a 4 Euclidean Geometry5 Congruence of Curves; 6 Summary; Chapter IV. Calculus on a Surface; 1 Surfaces in E; 2 Patch Computations; 3 Differentiable Functions and Tangent Vectors; 4 Differential Forms on a Surface; 5 Mappings of Surfaces; 6 Integration of Forms; 7 Topological Properties of Surfaces; 8 Manifolds; 9 Summary; Chapter V. Shape Operators; 1 The Shape Operator of M c E; 2 Normal Curvature; 3 Gaussian Curvature; 4 Computational Techniques; 5 Special Curves in a Surface; 6 Surfaces of Revolution; 7 Summary; Chapter VI. Geometry of Surfaces in E; 1 The Fundamental Equations. 
505 8 |a 2 Form Computations3 Some Global Theorems; 4 Isometries and Local Isometries; 5 Intrinsic Geometry of Surfaces in E; 6 Orthogonal Coordinates; 7 Integration and Orientation; 8 Congruence of Surfaces; 9 Summary; Chapter VII. Riemannian Geometry; 1 Geometric Surfaces; 2 Gaussian Curvature; 3 Covariant Derivative; 4 Geodesies; 5 Length-Minimizing Properties of Geodesies; 6 Curvature and Conjugate Points; 7 Mappings that Preserve Inner Products; 8 The Gauss-Bonnet Theorem; 9 Summary; Bibliography; Answers to Odd-Numbered Exercises; INDEX. 
500 |a Elementary Differential Geometry. 
588 0 |a Print version record. 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
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650 0 |a Geometry, Differential. 
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650 7 |a Geometry, Differential  |2 fast 
650 7 |a Differentialgeometrie  |2 gnd 
650 7 |a Geometry, Differential.  |2 nli 
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