Multivariate Calculus and Geometry
Seiten
2001
|
2nd ed. 2001
Springer London Ltd (Verlag)
978-1-85233-472-7 (ISBN)
Springer London Ltd (Verlag)
978-1-85233-472-7 (ISBN)
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Provides the higher-level reader with a review of important aspects of Differential Calculus, Integral Calculus and Geometric Calculus of several variables. This title includes additional exercises and expanded solutions, and gives a description of the basic concepts via simple familiar examples.
This book provides the higher-level reader with a comprehensive review of all important aspects of Differential Calculus, Integral Calculus and Geometric Calculus of several variables The revised edition, which includes additional exercises and expanded solutions, and gives a solid description of the basic concepts via simple familiar examples which are then tested in technically demanding situations. Readers will gain a deep understanding of the uses and limitations of multivariate calculus.
This book provides the higher-level reader with a comprehensive review of all important aspects of Differential Calculus, Integral Calculus and Geometric Calculus of several variables The revised edition, which includes additional exercises and expanded solutions, and gives a solid description of the basic concepts via simple familiar examples which are then tested in technically demanding situations. Readers will gain a deep understanding of the uses and limitations of multivariate calculus.
1. Introduction to Differentiable Functions.- 2. Level Sets and Tangent Spaces.- 3. Lagrange Multipliers.- 4. Maxima and Minima on Open Sets.- 5. Curves in ?n.- 6. Line Integrals.- 7. The Frenet-Serret Equations.- 8. Geometry of Curves in ?3.- 9. Double Integration.- 10. Parametrized Surfaces in ?3.- 11. Surface Area.- 12. Surface Integrals.- 13. Stokes' Theorem.- 14. Triple Integrals.- 15. The Divergence Theorem.- 16. Geometry of Surfaces in ?3.- 17. Gaussian Curvature.- 18. Geodesic Curvature.- Solutions.
| Erscheint lt. Verlag | 30.3.2001 |
|---|---|
| Reihe/Serie | Springer Undergraduate Mathematics Series |
| Zusatzinfo | 3 black & white illustrations, biography |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 178 x 235 mm |
| Gewicht | 471 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Calculus • General Mathematics • Geometric Calculus • Geometry • multivariate analysis • Multivariate Calculus |
| ISBN-10 | 1-85233-472-X / 185233472X |
| ISBN-13 | 978-1-85233-472-7 / 9781852334727 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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