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Dover Books on Mathematics Ser.: Differential Geometry by Heinrich W. Guggenheimer (1977, Trade Paperback)

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Dover Books Differential Geometry by Heinrich W. Guggenheimer 1977.

About this product

Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486634337
ISBN-13
9780486634333
eBay Product ID (ePID)
882167

Product Key Features

Number of Pages
400 Pages
Publication Name
Differential Geometry
Language
English
Publication Year
1977
Subject
Geometry / Differential
Type
Textbook
Subject Area
Mathematics
Author
Heinrich W. Guggenheimer
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Height
0.8 in
Item Weight
16.8 Oz
Item Length
8.2 in
Item Width
5.6 in

Additional Product Features

Intended Audience
College Audience
LCCN
76-027496
Dewey Edition
19
CLASSIFICATION_METADATA
{"IsNonfiction":["No"],"IsOther":["No"],"IsAdult":["No"],"MuzeFormatDesc":["Trade Paperback"],"IsChildren":["No"],"Genre":["MATHEMATICS"],"Topic":["Geometry / Differential"],"IsTextBook":["Yes"],"IsFiction":["No"]}
Illustrated
Yes
Dewey Decimal
516.7
Table Of Content
Preface Chapter 1. Elementary Differential Geometry 1-1 Curves 1-2 Vector and Matrix Functions 1-3 Some Formulas Chapter 2. Curvature 2-1 Arc Length 2-2 The Moving Frame 2-3 The Circle of Curvature Chapter 3. Evolutes and Involutes 3-1 The Riemann-Stieltjès Integral 3-2 Involutes and Evolutes 3-3 Spiral Arcs 3-4 Congruence and Homothety 3-5 The Moving Plane Chapter 4. Calculus of Variations 4-1 Euler Equations 4-2 The Isoperimetric Problem Chapter 5. Introduction to Transformation Groups 5-1 Translations and Rotations 5-2 Affine Transformations Chapter 6. Lie Group Germs 6-1 Lie Group Germs and Lie Algebras 6-2 The Adjoint Representation 6-3 One-parameter Subgroups Chapter 7. Transformation Groups 7-1 Transformation Groups 7-2 Invariants 7-3 Affine Differential Geometry Chapter 8. Space Curves 8-1 Space Curves in Euclidean Geometry 8-2 Ruled Surfaces 8-3 Space Curves in Affine Geometry Chapter 9. Tensors 9-1 Dual Spaces 9-2 The Tensor Product 9-3 Exterior Calculus 9-4 Manifolds and Tensor Fields Chapter 10. Surfaces 10-1 Curvatures 10-2 Examples 10-3 Integration Theory 10-4 Mappings and Deformations 10-5 Closed Surfaces 10-6 Line Congruences Chapter 11. Inner Geometry of Surfaces 11-1 Geodesics 11-2 Clifford-Klein Surfaces 11-3 The Bonnet Formula Chapter 12. Affine Geometry of Surfaces 12-1 Frenet Formulas 12-2 Special Surfaces 12-3 Curves on a Surface Chapter 13. Riemannian Geometry 13-1 Parallelism and Curvature 13-2 Geodesics 13-3 Subspaces 13-4 Groups of Motions 13-5 Integral Theorems Chapter 14. Connections Answers to Selected Exercises Index
Synopsis
Designed for advanced undergraduate or beginning graduate study, this text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; and development of the method of integral formulas for global differential geometry., This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures., This is a text of local differential geometry considered as an application of advanced calculus and linear algebra. The discussion is designed for advanced undergraduate or beginning graduate study, and presumes of readers only a fair knowledge of matrix algebra and of advanced calculus of functions of several real variables. The author, who is a Professor of Mathematics at the Polytechnic Institute of New York, begins with a discussion of plane geometry and then treats the local theory of Lie groups and transformation groups, solid differential geometry, and Riemannian geometry, leading to a general theory of connections. The author presents a full development of the Erlangen Program in the foundations of geometry as used by Elie Cartan as a basis of modern differential geometry; the book can serve as an introduction to the methods of E. Cartan. The theory is applied to give a complete development of affine differential geometry in two and three dimensions. Although the text deals only with local problems (except for global problems that can be treated by methods of advanced calculus), the definitions have been formulated so as to be applicable to modern global differential geometry. The algebraic development of tensors is equally accessible to physicists and to pure mathematicians. The wealth of specific resutls and the replacement of most tensor calculations by linear algebra makes the book attractive to users of mathematics in other disciplines.
LC Classification Number
QA641.G8 1
Copyright Date
1977
ebay_catalog_id
4

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item 1 Differential Geometry [Dover Books on Mathematics]
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Dover Books on Mathematics Ser.: Differential Geometry by Heinrich W. Guggenheimer (1977, Trade Paperback)

About this product

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Differential Geometry [Dover Books on Mathematics]

item 2 Differential Geometry (Dover Books on Mathematics) Heinrich W. Guggenheimer pap

item 3 Differential Geometry [Dover Books on Mathematics]

item 4 Differential Geometry Heinrich W. Guggenheimer (1977, PB) Dover Mathematics

item 5 Differential Geometry by Heinrich W Guggenheimer: Used

item 6 Dover Books Differential Geometry by Heinrich W. Guggenheimer 1977

item 7 Differential Geometry, Paperback by Guggenheimer, Heinrich Walter, Like New U...

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Encyclopedia of Counseling : Master Review and Tutorial for the National Counselor Examination, State Counseling Exams, and the Counselor Preparation Comprehensive Examination by Howard Rosenthal (2017, Trade Paperback, Revised edition,New Edition)

Cognitive Behavior Therapy : Basics and Beyond by Judith S. Beck (2020, Hardcover)

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