Multivariable Calculus and Differential Geometry

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics a...

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Hlavní autor: Walschap, Gerard
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Germany De Gruyter 2015
De Gruyter, Inc
Vydání:1
Edice:De Gruyter Textbook
Témata:
Algebras, Linear
Calculus
Differential geometry
Differentialgeometrie
Geometry
Geometry, Differential
Mathematical analysis
MATHEMATICS
MATHEMATICS / Geometry / Analytic
MATHEMATICS / Geometry / Differential
MATHEMATICS / Geometry / General
MATHEMATICS / Mathematical Analysis
Riemannian geometry
Riemannsche Geometrie
Riemannian geometry
Riemannsche Geometrie
Differentialgeometrie
Differential geometry
ISBN:3110369540, 9783110369540, 3110369494, 9783110369496
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Popis
Shrnutí:This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.
Bibliografie:Includes bibliographical references and index
ISBN:3110369540
9783110369540
3110369494
9783110369496
DOI:10.1515/9783110369540