Real Functions in Several Variables: Volume X
Vector Fields I

- Price: 129.00 kr
- Price: €13.99
- Price: £13.99
- Price: ₹250
- Price: $13.99
- Price: 129.00 kr
- Price: 129.00 kr
Download for FREE in 4 easy steps...

Corporate eLibrary
Discover our employee learning solutions
This is a Premium eBook
Bookboon Premium - Gain access to over 800 eBooks - without ads
You can get free access for a month to this - and 800 other books with the Premium Subscription. You can also buy the book below
- Start a 30-day free trial. After trial: 39.99 kr p/m
- Start a 30-day free trial. After trial: €5.99 p/m
- Start a 30-day free trial. After trial: £4.99 p/m
- Start a 30-day free trial. After trial: ₹299 p/m
- Start a 30-day free trial. After trial: $3.99 p/m
- Start a 30-day free trial. After trial: 39.99 kr p/m
- Start a 30-day free trial. After trial: 39.99 kr p/m


Corporate eLibrary
Discover our employee learning solutions
Users who viewed this item also viewed
-
Real Functions in Several Variables: Volume VIII Line Integrals and Surface Integrals
-
Complex Functions Examples c-6 Calculus of Residues
-
Second-order ordinary differential equations Special functions, Sturm-Liouville theory and transforms
-
Linear algebra c-3 The Eigenvalue Problem and Euclideam Vector Space
-
Hilbert Spaces and Operators on Hilbert Spaces Functional Analysis Examples c-3
-
Linear Algebra II Spectral Theory and Abstract Vector Spaces
-
Examples of Systems of Differential Equations...
-
Blast Into Math!
About the book
Description
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.
The theory and methods of these volumes on "Real Functions in Several Variables" are applied constantly in higher Mathematics, Mechanics and Engineering Sciences. It is of paramount importance for the calculations in Probability Theory, where one constantly integrate over some point set in space.
It is my hope that this text, these guidelines and these examples, of which many are treated in more ways to show that the solutions procedures are not unique, may be of some inspiration for the students who have just started their studies at the universities.
Content
- Preface
- Introduction to volume X, Vector fields; Gauß’s Theorem
- Tangential line integrals
- Introduction
- The tangential line integral. Gradient fields
- Tangential line integrals in Physics
- Overview of the theorems and methods concerning tangential line integrals and gradient fields
- Examples of tangential line integrals
- Flux and divergence of a vector field. Gauß’s theorem
- Flux
- Divergence and Gauß’s theorem
- Applications in Physics
- Procedures for flux and divergence of a vector field; Gauß’s theorem
- Examples of flux and divergence of a vector field; Gauß’s theorem
- Formulæ
- Squares etc
- Powers etc
- Differentiation
- Special derivatives
- Integration
- Special antiderivatives
- Trigonometric formulæ
- Hyperbolic formulæ
- Complex transformation formulæ
- Taylor expansions
- Magnitudes of functions
- Index