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Vector analysis for mathematicians, scientists, and engineers /
Vector Analysis for Mathematicians, Scientists and Engineers, Second Edition, provides an understanding of the methods of vector algebra and calculus to the extent that the student will readily follow those works which make use of them, and further, will be able to employ them himself in his own bra...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
1970.
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| Edición: | 2nd ed. |
| Colección: | Commonwealth and international library. Physics division.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Vector Analysis for Mathematicians, Scientists and Engineers; Copyright Page; Table of Contents; Preface to the First Edition; Preface to the Second Edition; Chapter 1. Introduction to Vectors; 1.1 What is a vector?; 1.2 Representation of vectors; 1.3 Addition and subtraction of vectors; 1.4 Simple geometrical applications; 1.5 Components of a vector; Chapter 2. Products of Vectors; 2.1 The scalar product; 2.2 The vector product; 2.3 Applications of scalar and vector products; Chapter 3. Products of Three or Four Vectors; 3.1 The scalar triple product
- 6.1 Line integrals6.2 Surface integrals; 6.3 Volume integrals; Chapter 7. Theorems of Vector Integration; 7.1 Conservative vector fields; 7.2 The divergence theorem; 7.3 Stokes' theorem; Chapter 8. Orthogonal Curvilinear Coordinates; 8.1 Vector components in a general orthogonal coordinate system; 8.2 Differential operators for orthogonal coordinates; Chapter 9. An Application of Vector Analysis- Electrical Theory; 9.1 Electrostatic field and potential; 9.2 Gauss' theorem; 9.3 Poisson's and Laplace's equations; 9.4 Energy of the electrostatic field; 9.5 Dipoles; 9.6 Conductors and insulators
- 9.7 Electric current9.8 Magnetic effects of a current; 9.9 Magnetic vector potential; 9.10 Continuous current distributions; 9.11 Energy of the magnetic field; 9.12 Electromagnetic induction; 9.13 The displacement current; 9.14 Maxwell's equations; 9.15 The electromagnetic potentials; 9.16 Electromagnetic waves; Answers to Odd-numbered Exercises; Index