Real Functions in Several Variables: Volume XII Vector Fields III
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740309195
Table of contents: title: Preface; title: Introduction to volume XII, Vector fields III; Potentials, Harmonic Functions and Green’s Identities; title: Potentials; title: Definitions of scalar and vectorial potentials; title: A vector field given by its rotation and divergence; title: Some applications in Physics; title: Examples from Electromagnetism; title: Scalar and vector potentials; title: Harmonic functions and Green’s identities; title: Harmonic functions; title: Green’s first identity; title: Green’s second identity; title: Green’s third identity; title: Green’s identities in the plane; title: Gradient, divergence and rotation in semi-polar and spherical coordinates; title: Examples of applications of Green’s identities; title: Overview of Green’s theorems in the plane; title: Miscellaneous examples; title: Formulæ; title: Squares etc; title: Powers etc; title: Differentiation; title: Special derivatives; title: Integration; title: Special antiderivatives; title: Trigonometric formulæ; title: Hyperbolic formulæ; title: Complex transformation formulæ; title: Taylor expansions; title: Magnitudes of functions; title: Index