Multidimensional Differential and Integral Calculus

Multidimensional Differential and Integral Calculus

A Practical Approach

De Bernardis, Enrico; Riccardi, Giorgio; Cifra, Bruno Antonio

Springer International Publishing AG

11/2024

275

Mole

9783031703256

Pré-lançamento - envio 15 a 20 dias após a sua edição

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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...
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Mathematical Analysis for Engineers;Integral Calculus;partial differential equations;Vector functions;Differential Calculus;Taylor series