Multivariable Calculus and Differential Geometry
DeGruyter Textbook
Seiten
2015
De Gruyter (Verlag)
978-3-11-036949-6 (ISBN)
De Gruyter (Verlag)
978-3-11-036949-6 (ISBN)
This text is a modern in-depth study of the subject that includes all the material needed from linear algebra. It then goes on to investigate topics in differential geometry, such as manifolds in Euclidean space, curvature, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.
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.
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.
Gerard Walschap teaches at The University of Oklahoma.
| Erscheint lt. Verlag | 12.6.2015 |
|---|---|
| Reihe/Serie | De Gruyter Textbook |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 620 g |
| Einbandart | kartoniert |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Differentialgleichungen | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Differentialgeometrie • Differential Geometry • Differential geometry; Riemannian geometry • Differenzialgeometrie • Riemannian Geometry • Riemannsche Geometrie |
| ISBN-10 | 3-11-036949-4 / 3110369494 |
| ISBN-13 | 978-3-11-036949-6 / 9783110369496 |
| Zustand | Neuware |
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