Real Functions in Several Variables: Volume II Continuous Functions in Several Variables
Publisher: Bookboon.com
Published: 2015
ISBN-13: 9788740309089
Table of contents: title: Content; title: 1. Preface; title: 2. Introduction to volume II, Continuous Functions in Several Variables; title: 3. Continuous functions in several variables; title: 3.1. Maps in general; title: 3.2. Functions in several variables; title: 3.3. Vector functions; title: 3.4. Visualization of functions; title: 3.5. Implicit given function; title: 3.6. Limits and continuity; title: 3.7. Continuous functions; title: 3.8. Continuous curves; title: 3.9. Connectedness; title: 3.10. Continuous surfaces in R3; title: 3.11. Main theorems for continuous functions; title: 4. A useful procedure; title: 4.1. The domain of a function; title: 5. Examples of continuous functions in several variables; title: 5.1. Maximal domain of a function; title: 5.2. Level curves and level surfaces; title: 5.3. Continuous functions; title: 5.4. Description of curves; title: 5.5. Connected sets; title: 5.6. Description of surfaces; 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