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Introduction to Geometry 2e Coxeter Paperback John Wiley & Sons 9780471504580

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Item specifics

Condition
Like New: A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is ...
ISBN
9780471504580

About this product

Product Identifiers

Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471504580
ISBN-13
9780471504580
eBay Product ID (ePID)
336737

Product Key Features

Number of Pages
496 Pages
Publication Name
Introduction to Geometry
Language
English
Publication Year
1991
Subject
Geometry / General
Features
Revised
Type
Textbook
Author
H. S. M. Coxeter
Subject Area
Mathematics
Series
Wiley Classics Library
Format
Trade Paperback

Dimensions

Item Height
0.9 in
Item Weight
26.2 Oz
Item Length
9.1 in
Item Width
5.8 in

Additional Product Features

Edition Number
2
Intended Audience
College Audience
Dewey Edition
21
Series Volume Number
19
Illustrated
Yes
Dewey Decimal
513
Edition Description
Revised edition
Table Of Content
Part I Triangles 3 Regular Polygons 26 Isometry in the Euclidean Plane 39 Two-Dimensional Crystallography 50 Similarity in the Euclidean Plane 67 Circles and Spheres 77 Isometry and Similarity in Euclidean Space 96 Part II Coordinates 107 Complex Numbers 135 The Five Platonic Solids 148 The Golden Section and Phyllotaxis 160 Part III Ordered Geometry 175 Affine Geometry 191 Projective Geometry 229 Absolute Geometry 263 Hyperbolic Geometry 287 Part IV Differential Geometry of Curves 307 The Tensor Notation 328 Differential Geometry of Surfaces 342 Geodesics 366 Topology of Surfaces 379 Four-Dimensional Geometry 396 Tables 413 References 415 Answers to Exercises 419 Index 459
Synopsis
This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self-contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4-color map problem, and provides answers to most of the exercises., This volume attempts to revitalize the sadly neglected topic of geometry. Apart from the general emphasis on the idea of transformation and on the desirability of spending some time in such unusual environments as affine space and absolute space, the chief novelties of the text are a simple treatment of the orthocenter, the use of dominoes to illustrate six of the seventeen space groups of two-dimensional crystallography, a construction for the invariant point of a dilative reflection, a description of the general circle-preserving transformation and the spiral similarity. The book also includes an 'explanation' of phyllotaxis, an 'ordered' treatment of Sylvester's problem, an economical system of axioms for affine geometry, an 'absolute' treatment of rotation groups, an elementary treatment of the horosphere and the extreme ternary quadratic form. The author describes the correction of a prevalent error concerning the shape of the monkey saddle, an application of
LC Classification Number
QA445 .C67 1989 

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