Gravitational Attraction and Potentials5.1 Introduction5.2 The Gravitational Potential5.3 Lines of Force and Equipotential Surfaces5.4 The Gravitational Potential of a Spherical Shell5.5 A Final CommentSuggested ReferencesProblemsChapter 6. The Special Theory of Relativity4.1 Introduction4.2 Galilean Invariance4.3 The Lorentz Transformation4.4 Momentum and Energy in Relativity4.5 Some Consequences of the Lorentz TransformationSuggested ReferencesProblemsChapter 5. Fundamentals of Newtonian Mechanics3.1 Introduction3.2 Newton's Laws3.3 Frames of Reference3.4 The Equation of Motion for a Particle3.5 Conservation Theorems3.6 Conservation Theorems for a System of Particles3.7 Limitations of Newtonian MechanicsSuggested ReferencesProblemsChapter 4. Vector Calculus2.1 Introduction2.2 Differentiation of a Vector with Respect to a Scalar2.3 Examples of Derivatives -Velocity and Acceleration2.4 Angular Velocity2.5 The Gradient Operator2.6 The Divergence of a Vector2.7 The Curl of a Vector2.8 Some Additional Differential Vector Relations2.9 Integration of VectorsSuggested ReferencesProblemsChapter 3.
Matrices and Vectors1.1 Introduction1.2 The Concept of a Scalar1.3 Coordinate Transformations1.4 Properties of Rotation Matrices1.5 Matrix Operations1.6 Further Definitions1.7 Geometrical Significance of Transformation Matrices1.8 Definitions of a Scalar and a Vector in Terms of Transformation Properties1.9 Elementary Scalar and Vector Operations1.10 The Scalar Product of Two Vectors1.11 The Vector Product of Two Vectors1.12 Unit VectorsSuggested ReferencesProblemsChapter 2.
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