Elementary Differential Geometry

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Sprache: Englisch

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Beschreibung

Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum ¿ nothing beyond first courses in linear algebra and multivariable calculus ¿ and the most direct and straightforward approach is used throughout.

New features of this revised and expanded second edition include:

a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.

Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.

Around 200 additional exercises, and a full solutions manual for instructors, available via [...]
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Über den Autor

Andrew Pressley is Professor of Mathematics at King's College London, UK.

Zusammenfassung

A revised and expanded second edition which presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject.

Includes supplementary material: [...]

Request lecturer material: [...]

Inhaltsverzeichnis

Curves in the plane and in space.- How much does a curve curve?.- Global properties of curves.- Surfaces in three dimensions.- Examples of surfaces.- The first fundamental form.- Curvature of surfaces.- Gaussian, mean and principal curvatures.- Geodesics.- Gauss' Theorema Egregium.- Hyperbolic geometry.- Minimal surfaces.- The Gauss-Bonnet theorem.

Details

Erscheinungsjahr:	2010
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 474 S. 150 s/w Illustr. 474 p. 150 illus.
ISBN-13:	9781848828902
ISBN-10:	184882890X
Sprache:	Englisch
Herstellernummer:	12207008
Einband:	Kartoniert / Broschiert
Autor:	Pressley, A. N.
Auflage:	Second Edition 2010
Hersteller:	Springer London Springer-Verlag London Ltd.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 27 mm
Von/Mit:	A. N. Pressley
Erscheinungsdatum:	18.03.2010
Gewicht:	0,733 kg