Real Functions in Several Variables: Volume XI Vector Fields II
Publisher: Bookboon.com
Published: 2015
ISBN-13: 9788740309188
Table of contents: title: Content; title: 1. Preface; title: 2. Introduction to volume XI, Vector fields II; Stokes’s Theorem; nabla calculus; title: 3. Rotation of a vector field; Stokes’s theorem; title: 3.1. Rotation of a vector field in R3; title: 3.2. Stokes’s theorem; title: 3.3. Maxwell’s equations; title: 3.4. Procedure for the calculation of the rotation of a vector field and applications of Stokes’s theorem; title: 3.5. Examples of the calculation of the rotation of a vector field and applications of Stokes’s theorem; title: 4. Nabla calculus; title: 4.1. The vectorial differential operator ?; title: 4.2. Differentiation of products; title: 4.3. Differentiation of second order; title: 4.4. Nabla applied on x; title: 4.5. The integral theorems; title: 4.6. Partial integration; title: 4.7. Overview of Nabla calculus; title: 4.8. Overview of partial integration in higher dimensions; title: 4.9. Examples in nabla calculus; 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