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  • 86pp. Published December 2018
  • Scientific Research Publishing,Inc.,USA
  • Category: Physics & Mathematics
  • ISBN: 978-1-61896-620-9
  • (Paperback) USD 89.00
  • ISBN: 978-1-61896-621-6
  • (E-Book) USD 19.00

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Home > Books > Surface Integrals
Surface Integrals
  • Description
  • E-Book
  • Author(s) Information

In mathematics, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate over its scalar fields (that is, functions which return scalars as values), and vector fields (that is, functions which return vectors as values).Surface integrals have applications in physics, particularly with the theories of classical electromagnetism.

In this book, we make a survey about the principal results about Surface Integrals. Following each result we present an example to apply the theory proposed on this result and each example we present a suitable figure to help to explain the example.

Components of the Book:
  • Front Matter
    • Head Page
    • Copyright
  • Preface
  • Acknowledgements
  • Dedication
  • Contents
  • Chapter 1 Surface Integrals
    • 1.1 Surface Integrals
    • 1.2 Definition of Tangent Plane at a Point of a Regular Parameterized Surface
    • 1.3 Normal straight line to a Parameterized Surface at a point P
    • 1.4 Area of a Surface
    • 1.5 Integral of Surface of a Real Valued Function of three Variables
    • 1.6 Orientation of a Regular Parameterized Surface
    • 1.7 Integral of a Field over a Surface
    • 1.8 Theorem of Gauss
    • 1.9 Theorem of Stokes
  • Bibliography
Readership: Researchers, students, scientific enthusiasts who are interested in surface integrals.
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