Real Functions in Several Variables: Volume I Point sets in Rn
Publisher: Bookboon.com
Published: 2015
ISBN-13: 9788740309065
Table of contents: title: Content; title: 1. Preface; title: 2. Introduction to volume I, Point sets in Rn. The maximal domain of a function; title: 3. Basic concepts; title: 3.1. Introduction; title: 3.2. The real linear space Rn; title: 3.3. The vector product; title: 3.4. The most commonly used coordinate systems; title: 3.5. Point sets in space; title: 3.6. Quadratic equations in two or three variables. Conic sections; title: 4. Some useful procedures; title: 4.1. Introduction; title: 4.2. Integration of trigonometric polynomials; title: 4.3. Complex decomposition of a fraction of two polynomials; title: 4.4. Integration of a fraction of two polynomials; title: 5. Examples of point sets; title: 5.1. Point sets; title: 5.2. Conics and conical sections; title: 6. Formulæ; title: 6.1. Squares etc; title: 6.2. Powers etc; title: 6.3. Differentiation; title: 6.4. Special derivatives; title: 6.5. Integration; title: 6.6. Special antiderivatives; title: 6.7. Trigonometric formulæ; title: 6.8. Hyperbolic formulæ; title: 6.9. Complex transformation formulæ; title: 6.10. Taylor expansions; title: 6.11. Magnitudes of functions; title: 7. Index