Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory (Dover Books on Mathematics)

Rutherford, D. E.

ISBN 10: 0486439038 / ISBN 13: 9780486439037

Published by Dover Publications, 2004

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Bibliographic Details

• Title: Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2004
• Language: English
• ISBN 10: 0486439038
• ISBN 13: 9780486439037
• Binding: paperback
• Condition: Very Good

About this title

Synopsis

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.