Vector Analysis: A Physicist's Guide to the Mathematics of Fields in Three Dimensions

Front Cover
CUP Archive, Jan 20, 1977 - Mathematics - 254 pages
0 Reviews
Vector analysis provides the language that is needed for a precise quantitative statement of the general laws and relationships governing such branches of physics as electromagnetism and fluid dynamics. The account of the subject is aimed principally at physicists but the presentation is equally appropriate for engineers. The justification for adding to the available textbooks on vector analysis stems from Professor Kemmer's novel presentation of the subject developed through many years of teaching, and in relating the mathematics to physical models. While maintaining mathematical precision, the methodology of presentation relies greatly on the visual, geometric aspects of the subject and is supported throughout the text by many beautiful illustrations that are more than just schematic. A unification of the whole body of results developed in the book - from the simple ideas of differentiation and integration of vector fields to the theory of orthogonal curvilinear coordinates and to the treatment of time-dependent integrals over fields - is achieved by the introduction from the outset of a method of general parametrisation of curves and surfaces.
 

What people are saying - Write a review

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

Contents

Summary of vector algebra
1
The geometrical background to vector analysis
13
Metric properties of Euclidean space
27
Scalar and vector fields
37
Exercises C
45
Further spatial integrals
60
Exercises D
67
the curl
81
Second derivatives of vector fields elements
145
Exercises G
155
Exercises H
171
Timedependent fields
181
Exercises I
191
Exercises C
202
Exercises E
208
Exercises F
218

the divergence
93
Exercises E
107
Boundary behaviour of fields
115
Exercises F
134
Exercises H
229
Exercises I
247
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information