An edition of Real Functions in Several Variables: Volume II Continuous Functions in Several Variables
(2015)
Real Functions in Several Variables: Volume II Continuous Functions in Several Variables
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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| Edition | Availability |
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Real Functions in Several Variables: Volume II Continuous Functions in Several Variables
2015, Bookboon.com
8740309088 9788740309089
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Book Details
Table of Contents
Content
1. Preface
2. Introduction to volume II, Continuous Functions in Several Variables
3. Continuous functions in several variables
3.1. Maps in general
3.2. Functions in several variables
3.3. Vector functions
3.4. Visualization of functions
3.5. Implicit given function
3.6. Limits and continuity
3.7. Continuous functions
3.8. Continuous curves
3.9. Connectedness
3.10. Continuous surfaces in R3
3.11. Main theorems for continuous functions
4. A useful procedure
4.1. The domain of a function
5. Examples of continuous functions in several variables
5.1. Maximal domain of a function
5.2. Level curves and level surfaces
5.3. Continuous functions
5.4. Description of curves
5.5. Connected sets
5.6. Description of surfaces
6. Formulæ
6.1. Squares etc
6.2. Powers etc
6.3. Differentiation
6.4. Special derivatives
6.5. Integration
6.6. Special antiderivatives
6.7. Trigonometric formulæ
6.8. Hyperbolic formulæ
6.9. Complex transformation formulæ
6.10. Taylor expansions
6.11. Magnitudes of functions
7. 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. |