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Geometry from a Differential Viewpoint

Geometry from a Differential Viewpoint - 94 edition

Geometry from a Differential Viewpoint - 94 edition

ISBN13: 9780521424806

ISBN10: 0521424801

Geometry from a Differential Viewpoint by John McCleary - ISBN 9780521424806
Edition: 94
Copyright: 1994
Publisher: Cambridge University Press
Published: 1994
International: No
Geometry from a Differential Viewpoint by John McCleary - ISBN 9780521424806

ISBN13: 9780521424806

ISBN10: 0521424801

Edition: 94

Other Editions of Geometry from a Differential Viewpoint

Summary

This book offers a new treatment of the topic, one which is designed to make differential geometry an approachable subject for advanced undergraduates. Professor McCleary considers the historical development of non-Euclidean geometry, placing differential geometry in the context of geometry students will be familiar with from high school. The text serves as both an introduction to the classical differential geometry of curves and surfaces and as a history of a particular surface, the non-Euclidean or hyperbolic plane. The main theorems of non-Euclidean geometry are presented along with their historical development. The author then introduces the methods of differential geometry and develops them toward the goal of constructing models of the hyperbolic plane. While interesting diversions are offered, such as Huygen's pendulum clock and mathematical cartography, the book thoroughly treats the models of non-Euclidean geometry and the modern ideas of abstract surfaces and manifolds.

Other Editions of Geometry from a Differential Viewpoint

Geometry From Differentiable Viewpoint by John McCleary - ISBN 9780521133111
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