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

Nonfiction, Science & Nature, Mathematics, Vector Analysis
Cover of the book Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory by D. E. Rutherford, Dover Publications
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Author: D. E. Rutherford ISBN: 9780486154534
Publisher: Dover Publications Publication: April 27, 2012
Imprint: Dover Publications Language: English
Author: D. E. Rutherford
ISBN: 9780486154534
Publisher: Dover Publications
Publication: April 27, 2012
Imprint: Dover Publications
Language: English

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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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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