Real Functions in Several Variables: Volume III Differentiable Functions in Several Variables
Publisher: Bookboon.com
Published: 2015
ISBN-13: 9788740309096
Table of contents: title: Content; title: 1. Preface; title: 2. Introduction to volume III, Differentiable Functions in Several Variables; title: 3. Differentiable functions in several variables; title: 3.1. Differentiability; title: 3.2. The chain rule; title: 3.3. Directional derivative; title: 3.4. Cn-functions; title: 3.5. Taylor’s formula; title: 4. Some useful procedures; title: 4.1. Introduction; title: 4.2. The chain rule; title: 4.3. Calculation of the directional derivative; title: 4.4. Approximating polynomials; title: 4.5. Examples of differentiable functions; title: 4.5.1. Gradient; title: 4.5.2. The chain rule; title: 4.5.3. Directional derivative; title: 4.5.4. Partial derivatives of higher order; title: 4.5.5. Taylor’s formula for functions of several variables; title: 4.6. Formulæ; title: 4.6.1. Squares etc; title: 4.6.2. Powers etc; title: 4.6.3. Differentiation; title: 4.6.4. Special derivatives; title: 4.6.5. Integration; title: 4.6.6. Special antiderivatives; title: 4.6.7. Trigonometric formulæ; title: 4.6.8. Hyperbolic formulæ; title: 4.6.9. Complex transformation formulæ; title: 4.6.10. Taylor expansions; title: 4.6.11. Magnitudes of functions; title: 4.7. Index