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Item Details
Title: GEOMETRY FROM A DIFFERENTIABLE VIEWPOINT
By: John McCleary
Format: Electronic book text

List price: £360.00


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 1139173928
ISBN 13: 9781139173926
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 5 June, 2012
Description: This book offers a new treatment of differential geometry which is designed to make the subject approachable for advanced undergraduates.
Synopsis: Differential geometry has developed in many directions since its beginnings with Euler and Gauss. This often poses a problem for undergraduates: which direction should be followed? What do these ideas have to do with geometry? This book is designed to make differential geometry an approachable subject for advanced undergraduates. The text serves as both an introduction to the classical differential geometry of curves and surfaces and as a history of the non-Euclidean plane. The book begins with the theorems of non-Euclidean geometry, then introduces the methods of differential geometry and develops them towards the goal of constructing models of the hyperbolic plane. Interesting diversions are offered, such as Huygens' pendulum clock and mathematical cartography; however, the focus of the book is on the models of non-Euclidean geometry and the modern ideas of abstract surfaces and manifolds. Although the main use of this text is as an advanced undergraduate course book, the historical aspect of the text should appeal to most mathematicians.
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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