Geometry From A Differentiable Viewpoint - John McCleary
Cambridge University Press (1995)
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Geometry, Differential, Mathematics / Geometry / Differential, Mathematics / Geometry / General, Science / General

This book offers a new treatment of differential geometry which is designed to make the subject approachable 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.

Product Details
LoC Classification QA641 .M38 1994
Dewey 516.36
Format Paperback
Cover Price 44,99 €
No. of Pages 320
Height x Width 260 x 174 mm