Real Functions in Several Variables: Volume III Differentiable Functions in Several Variables
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740309096
Table of contents: title: Preface; title: Introduction to volume III, Differentiable Functions in Several Variables; title: Differentiable functions in several variables; title: Differentiability; title: The chain rule; title: Directional derivative; title: Cn-functions; title: Taylor’s formula; title: Some useful procedures; title: Introduction; title: The chain rule; title: Calculation of the directional derivative; title: Approximating polynomials; title: Examples of differentiable functions; title: Gradient; title: The chain rule; title: Directional derivative; title: Partial derivatives of higher order; title: Taylor’s formula for functions of several variables; 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