Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

Front Cover
Courier Dover Publications, 2004 - Mathematics - 135 pages
0 Reviews
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator "nabla" proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

I
1
II
16
III
37
IV
60
V
78
VI
102
VII
111
VIII
123
Copyright

Common terms and phrases

References to this book

Bibliographic information