An edition of Real Functions in Several Variables: Volume VI Antiderivatives and Plane Integrals
(2015)
Real Functions in Several Variables: Volume VI Antiderivatives and Plane Integrals
by Leif Mejlbro
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Last edited by Alice Kirk
June 12, 2015 | History
The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in. Therefore, we start from the beginning, modelling this world by using the coordinates of R3 to describe e.b. a motion in space.
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Publish Date
2015
Publisher
Bookboon.com
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Real Functions in Several Variables: Volume VI Antiderivatives and Plane Integrals
2015, Bookboon.com
8740309134 9788740309133
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Book Details
Table of Contents
Content
1. Preface
2. Introduction to volume VI, Integration of a function in several variables
3. Antiderivatives of functions in several variables
3.1. The theory of antiderivatives of functions in several variables
3.2. Templates for gradient fields and antiderivatives of functions in three variables
3.3. Examples of gradient fields and antiderivatives
4. Integration in the plane
4.1. An overview of integration in the plane and in the space
4.2. Introduction
4.3. The plane integral in rectangular coordinates
4.4. Examples of the plane integral in rectangular coordinates
4.5. The plane integral in polar coordinates
4.6. Procedure of reduction of the plane integral; polar version
4.7. Examples of the plane integral in polar coordinates
4.8. Examples of area in polar coordinates
5. Formulæ
5.1. Squares etc
5.2. Powers etc
5.3. Differentiation
5.4. Special derivatives
5.5. Integration
5.6. Special antiderivatives
5.7. Trigonometric formulæ
5.8. Hyperbolic formulæ
5.9. Complex transformation formulæ
5.10. Taylor expansions
5.11. Magnitudes of functions
6. Index
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| June 12, 2015 | Edited by Alice Kirk | Edited without comment. |
| June 12, 2015 | Created by Alice Kirk | Added new book. |