Real Functions in Several Variables: Volume VII Space Integrals
Publisher: Bookboon.com
Published: 2015
ISBN-13: 9788740309140
Table of contents: title: Content; title: 1. Preface; title: 2. Introduction to volume VII, The space integral; title: 3. The space integral in rectangular coordinates; title: 3.1. Introduction; title: 3.2. Overview of setting up of a line, a plane, a surface or a space integral; title: 3.3. Reduction theorems in rectangular coordinates; title: 3.4. Procedure for reduction of space integral in rectangular coordinates; title: 3.5. Examples of space integrals in rectangular coordinates; title: 4. The space integral in semi-polar coordinates; title: 4.1. Reduction theorem in semi-polar coordinates; title: 4.2. Procedures for reduction of space integral in semi-polar coordinates; title: 4.3. Examples of space integrals in semi-polar coordinates; title: 5. The space integral in spherical coordinates; title: 5.1. Reduction theorem in spherical coordinates; title: 5.2. Procedures for reduction of space integral in spherical coordinates; title: 5.3. Examples of space integrals in spherical coordinates; title: 5.4. Examples of volumes; title: 5.5. Examples of moments of inertia and centres of gravity; 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