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

Author: D E Rutherford
Publisher: Newburyport : Dover Publications, 2012.
Series: Dover books on mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Rutherford, D. E.
Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory
Newburyport : Dover Publications,c2012
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D E Rutherford
ISBN: 9780486154534 048615453X
OCLC Number: 899157982
Notes: Description based upon print version of record.
Description: 1 online resource (231 p.)
Contents: DOVER BOOKS ON MATHEMATICS; Title Page; Copyright Page; PREFACE; PREFACE TO THE SEVENTH EDITION; Table of Contents; CHAPTER I --
VECTOR ALGEBRA; CHAPTER II --
DIFFERENTIAL GEOMETRY; TWISTED CURVES; SURFACES; CHAPTER III --
APPLICATIONS TO MECHANICS; CHAPTER IV --
THE VECTOR OPERATOR "∇"; CHAPTER V --
POTENTIAL THEORY; CHAPTER VI --
HYDRODYNAMICS; CHAPTER VII --
LAPLACE'S EQUATION; CHAPTER VIII --
FOUR-DIMENSIONAL VECTORS; BIBLIOGRAPHY; INDEX The numbers refer to the pages
Series Title: Dover books on mathematics.

Abstract:

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 equa.

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