Multivariable calculus and differential geometry
著者
書誌事項
Multivariable calculus and differential geometry
(De Gruyter graduate)
De Gruyter, c2015
- : [pbk.]
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
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