Real Functions in Several Variables: Volume VI Antiderivatives and Plane Integrals
Publisher: Bookboon.com
Published: 2015
ISBN-13: 9788740309133
Table of contents: title: Content; title: 1. Preface; title: 2. Introduction to volume VI, Integration of a function in several variables; title: 3. Antiderivatives of functions in several variables; title: 3.1. The theory of antiderivatives of functions in several variables; title: 3.2. Templates for gradient fields and antiderivatives of functions in three variables; title: 3.3. Examples of gradient fields and antiderivatives; title: 4. Integration in the plane; title: 4.1. An overview of integration in the plane and in the space; title: 4.2. Introduction; title: 4.3. The plane integral in rectangular coordinates; title: 4.4. Examples of the plane integral in rectangular coordinates; title: 4.5. The plane integral in polar coordinates; title: 4.6. Procedure of reduction of the plane integral; polar version; title: 4.7. Examples of the plane integral in polar coordinates; title: 4.8. Examples of area in polar coordinates; title: 5. Formulæ; title: 5.1. Squares etc; title: 5.2. Powers etc; title: 5.3. Differentiation; title: 5.4. Special derivatives; title: 5.5. Integration; title: 5.6. Special antiderivatives; title: 5.7. Trigonometric formulæ; title: 5.8. Hyperbolic formulæ; title: 5.9. Complex transformation formulæ; title: 5.10. Taylor expansions; title: 5.11. Magnitudes of functions; title: 6. Index