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Student Mathematical Library: Differential Geometry : Curves - Surfaces - Manifolds by Wolfgang Kuhnel (2015, Trade Paperback)

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About this product

Product Identifiers

PublisherAmerican Mathematical Society

ISBN-101470423200

ISBN-139781470423209

eBay Product ID (ePID)211780896

Product Key Features

Number of Pages412 Pages

LanguageEnglish

Publication NameDifferential Geometry : Curves-Surfaces-Manifolds

SubjectGeometry / Differential, Geometry / Algebraic

Publication Year2015

FeaturesNew Edition

TypeTextbook

Subject AreaMathematics

AuthorWolfgang Kuhnel

SeriesStudent Mathematical Library

FormatTrade Paperback

Dimensions

Item Height0.8 in

Item Weight16.9 Oz

Item Length8.5 in

Item Width5.5 in

Additional Product Features

Edition Number3

Intended AudienceScholarly & Professional

LCCN2015-018451

ReviewsThe 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

Dewey Edition23

Series Volume Number77

IllustratedYes

Dewey Decimal516.3/6

Edition DescriptionNew Edition

Table Of ContentNotations and prerequisites from analysis Curves in $\mathbb{R}^n$ The local theory of surfaces The intrinsic geometry of surfaces Riemannian manifolds The curvature tensor Spaces of constant curvature Einstein spaces Solutions to selected exercises Bibliography List of notation Index

SynopsisOffers 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., 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.

LC Classification NumberQA641.K9613 2015