Differential Geometry

Curves - Surfaces - Manifolds

AvWolfgang Kuhnel

Häftad, Engelska, 2015

Del i serien Student Mathematical Library

687 kr

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Beskrivning

This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and--as a new feature--a good number of solutions to selected exercises.

Produktinformation

Utgivningsdatum:2015-12-30
Mått:140 x 216 x undefined mm
Vikt:480 g
Format:Häftad
Språk:Engelska
Serie:Student Mathematical Library
Antal sidor:412
Upplaga:3
Förlag:American Mathematical Society
ISBN:9781470423209

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Mer om författaren

Wolfgang Kuhnel, University of Stuttgart, Germany.

Recensioner i media

The book provides an excellent introduction to the differential geometry of curves, surfaces and Riemannian manifolds that should be accessible to a variety of readers… Frankly, this is a great book… even after only two chapters the reader is exposed to a lot of interesting mathematics. If you are looking to teach or learn differential geometry at an introductory level, Differential Geometry Curves—Surfaces—Manifolds is a great resource to have on hand." - Jason M. Graham, MAA Reviews

Innehållsförteckning

Notations and prerequisites from analysisCurves in $\mathbb{R}^n$The local theory of surfacesThe intrinsic geometry of surfacesRiemannian manifoldsThe curvature tensorSpaces of constant curvatureEinstein spacesSolutions to selected exercisesBibliographyList of notationIndex