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Geometry from a differentiable viewpoint

Author: John McCleary
Publisher: Cambridge [England] ; New York : Cambridge University Press, 2012.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Summary:
A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(DLC) 2012017159
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John McCleary
ISBN: 0521116074 9780521116077 9781283715591 1283715597 9780521133111 0521133114 9781139778633 1139778633 9781139781626 1139781626 9781139022248 1139022245
OCLC Number: 815823809
Description: 1 online resource
Contents: Machine generated contents note: Part I. Prelude and Themes: Synthetic Methods and Results: 1. Spherical geometry; 2. Euclid; 3. The theory of parallels; 4. Non-Euclidean geometry; Part II. Development: Differential Geometry: 5. Curves in the plane; 6. Curves in space; 7. Surfaces; 8. Curvature for surfaces; 9. Metric equivalence of surfaces; 10. Geodesics; 11. The Gauss-Bonnet Theorem; 12. Constant-curvature surfaces; Part III. Recapitulation and Coda: 13. Abstract surfaces; 14. Modeling the non-Euclidean plane; 15. Epilogue: where from here?
Responsibility: John McCleary.

Abstract:

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.  Read more...

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Review of the first edition: '... an unusual and interesting account of two subjects and their close historical interrelation.' The Mathematical Gazette '... the author has succeeded in making Read more...

 
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