Multivariable Calculus and Differential Geometry / / Gerard Walschap.

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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Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2015
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2015]
©2015
Year of Publication:2015
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (355 p.)
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245 1 0 |a Multivariable Calculus and Differential Geometry /  |c Gerard Walschap. 
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505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1. Euclidean Space --   |t 2. Differentiation --   |t 3. Manifolds --   |t 4. Integration on Euclidean space --   |t 5. Differential Forms --   |t 6. Manifolds as metric spaces --   |t 7. Hypersurfaces --   |t Appendix A --   |t Appendix B --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Calculus. 
650 0 |a Mathematical analysis. 
650 4 |a Differentialgeometrie. 
650 4 |a Riemannsche Geometrie. 
650 7 |a MATHEMATICS / Geometry / General.  |2 bisacsh 
653 |a Differential geometry. 
653 |a Riemannian geometry. 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE Mathematics 2015  |z 9783110438765  |o ZDB-23-DMA 
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