Real Functions in Several Variables: Volume X Vector Fields I

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Last edited by ISBNbot2
August 22, 2020 | History

Real Functions in Several Variables: Volume X Vector Fields I

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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Book Details


Table of Contents

Content
1. Preface
2. Introduction to volume X, Vector fields; Gauß’s Theorem
3. Tangential line integrals
3.1. Introduction
3.2. The tangential line integral. Gradient fields
3.3. Tangential line integrals in Physics
3.4. Overview of the theorems and methods concerning tangential line integrals and gradient fields
3.5. Examples of tangential line integrals
4. Flux and divergence of a vector field. Gauß’s theorem
4.1. Flux
4.2. Divergence and Gauß’s theorem
4.3. Applications in Physics
4.4. Procedures for flux and divergence of a vector field; Gauß’s theorem
4.5. Examples of flux and divergence of a vector field; Gauß’s theorem
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

Edition Identifiers

Open Library
OL25685274M
ISBN 13
9788740309171

Work Identifiers

Work ID
OL17114688W

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
August 22, 2020 Edited by ISBNbot2 normalize ISBN
June 12, 2015 Edited by Alice Kirk Edited without comment.
June 12, 2015 Edited by Alice Kirk Added new cover
June 12, 2015 Created by Alice Kirk Added new book.