ENGLISH

Multivariable Calculus and Differential Geometry

By Gerard Walschap

Book information

Publisher
de Gruyter
Year
2015
ISBN
3110369494, 9783110369496
DOI
10.1515/9783110369540
ISSN
2192-6638
Language
english
Format
PDF
Filesize
18 MB (18604177 bytes)
Series
De Gruyter graduate,
Edition
1
Pages
369\369
Topic
Literature\\Prose
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2024-04-07 04:48:55
Differential GeometryMultivariable CalculusTopologyVector analysis

Description

About this book 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. A thorough introduction to differential geometry Covers all important concepts and theorems Many examples including applications to physics Author / Editor information Gerard Walschap, University of Oklahoma, Norman, OK, USA.

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