Multivariable Calculus and Differential Geometry
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| Title: | Multivariable Calculus and Differential Geometry |
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| Description: | 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. |
| Authors: | Gerard Walschap |
| Resource Type: | eBook. |
| Subjects: | Geometry, Differential, Calculus |
| Categories: | MATHEMATICS / Geometry / General, MATHEMATICS / Geometry / Analytic, MATHEMATICS / Geometry / Differential, MATHEMATICS / Mathematical Analysis |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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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| ISBN: | 9783110369496 9783110369540 9783110392791 |
