Multidimensional Differential and Integral Calculus A Practical Approach /
This textbook proposes an informal access to the most important issues of multidimensional differential and integral calculus. The traditional style—characterized by listing definitions, theorems, and proofs—is replaced by a conversational approach, primarily oriented to applications. The topics cov...
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| Main Authors: | , , |
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| Korporativna značnica: | |
| Format: | Elektronski eKnjiga |
| Jezik: | angleščina |
| Izdano: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Izdaja: | 1st ed. 2024. |
| Teme: | |
| Online dostop: | https://doi.org/10.1007/978-3-031-70326-3 |
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Kazalo:
- Chapter 1. Basic concepts and parametrisation of curves
- Chapter 2. Differential and geometric properties of curves
- Chapter 3. Curves in space: the Frenet frame
- Chapter 4. Functions of a vector variable
- Chapter 5. Continuity and differentiability of functions of a vector variable
- Chapter 6. Partial derivatives
- Chapter 7. Sequences of functions
- Chapter 8. Series of functions
- Chapter 9. Taylor series for functions of several variables
- Chapter 10. Applications of the Taylor series
- Chapter 11. Integration of functions of two variables
- Chapter 12. Samples of two-dimensional integration and change of variables
- Chapter 13. Two-dimensional integration and area of a surface
- Chapter 14. Vector functions of vector variables
- Chapter 15. Line integral and flux of vector functions
- Chapter 16. Triple integrals and coordinate changes
- Chapter 17. Green’s formulae for the integral calculus.-Chapter 18. Application of Green’s formulae
- Chapter 19. Gauss and Stokes theorems
- Chapter 20. Partial differential equations
- Etc...