Title: Vector Methods : Applied To Differential Geometry, Mechanics, And Potential Theory
Publisher: Dover Publications
Publication Date: 2004
Language: English
ISBN 10: 0486439038
ISBN 13: 9780486439037
Binding: Soft cover
Condition: New

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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.

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