Book contents
- Frontmatter
- Contents
- Dedication
- Preface
- Introduction
- 1 Summary of vector algebra
- Exercises A
- 2 The geometrical background to vector analysis
- 3 Metric properties of Euclidean space
- Exercises B
- 4 Scalar and vector fields
- Exercises C
- 5 Spatial integrals of fields
- 6 Further spatial integrals
- Exercises D
- 7 Differentiation of fields. Part 1: the gradient
- 8 Differentiation of fields. Part 2: the curl
- 9 Differentiation of fields. Part 3: the divergence
- 10 Generalisation of the three principal theorems and some remarks on notation
- Exercises E
- 11 Boundary behaviour of fields
- Exercises F
- 12 Differentiation and integration of products of fields
- 13 Second derivatives of vector fields; elements of potential theory
- Exercises G
- 14 Orthogonal curvilinear coordinates
- Exercises H
- 15 Time-dependent fields
- Exercises I
- Answers and comments
- Index
Book contents
- Frontmatter
- Contents
- Dedication
- Preface
- Introduction
- 1 Summary of vector algebra
- Exercises A
- 2 The geometrical background to vector analysis
- 3 Metric properties of Euclidean space
- Exercises B
- 4 Scalar and vector fields
- Exercises C
- 5 Spatial integrals of fields
- 6 Further spatial integrals
- Exercises D
- 7 Differentiation of fields. Part 1: the gradient
- 8 Differentiation of fields. Part 2: the curl
- 9 Differentiation of fields. Part 3: the divergence
- 10 Generalisation of the three principal theorems and some remarks on notation
- Exercises E
- 11 Boundary behaviour of fields
- Exercises F
- 12 Differentiation and integration of products of fields
- 13 Second derivatives of vector fields; elements of potential theory
- Exercises G
- 14 Orthogonal curvilinear coordinates
- Exercises H
- 15 Time-dependent fields
- Exercises I
- Answers and comments
- Index
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- Vector AnalysisA Physicist's Guide to the Mathematics of Fields in Three Dimensions, pp. i - ivPublisher: Cambridge University PressPrint publication year: 1977