Real Functions in Several Variables: Volume X Vector Fields I
Publisher: Bookboon.com
Published: 2015
ISBN-13: 9788740309171
Table of contents: title: Content; title: 1. Preface; title: 2. Introduction to volume X, Vector fields; Gauß’s Theorem; title: 3. Tangential line integrals; title: 3.1. Introduction; title: 3.2. The tangential line integral. Gradient fields; title: 3.3. Tangential line integrals in Physics; title: 3.4. Overview of the theorems and methods concerning tangential line integrals and gradient fields; title: 3.5. Examples of tangential line integrals; title: 4. Flux and divergence of a vector field. Gauß’s theorem; title: 4.1. Flux; title: 4.2. Divergence and Gauß’s theorem; title: 4.3. Applications in Physics; title: 4.4. Procedures for flux and divergence of a vector field; Gauß’s theorem; title: 4.5. Examples of flux and divergence of a vector field; Gauß’s theorem; title: 5. Formulæ; title: 5.1. Squares etc; title: 5.2. Powers etc; title: 5.3. Differentiation; title: 5.4. Special derivatives; title: 5.5. Integration; title: 5.6. Special antiderivatives; title: 5.7. Trigonometric formulæ; title: 5.8. Hyperbolic formulæ; title: 5.9. Complex transformation formulæ; title: 5.10. Taylor expansions; title: 5.11. Magnitudes of functions; title: 6. Index