Book contents
- Frontmatter
- Contents
- Preface
- Some notes on notation
- 1 Introduction
- 2 Errors
- 3 Cartesian coordinates
- 4 Vectors
- 5 The scalar product
- 6 The vector product and rotation
- 7 Matrices in physics
- 8 The transformation of matrices
- 9 The matrix eigenvalue equation
- 10 Exponential and logarithm functions
- 11 Sine and cosine functions
- 12 Graph plotting and curve sketching
- 13 Differentiation
- 14 Approximations
- 15 Power series and Taylor's expansion
- 16 Partial differentiation
- 17 Integration
- 18 The differential equation
- 19 Solving first-order differential equations
- 20 Second-order differential equations
- 21 Solving second-order differential equations
- 22 The complex exponential
- 23 The circuit equation
- 24 Harmonics and Fourier series
- 25 The diffusion equation
- 26 Waves
- 27 The rate of change of a vector
- 28 The scalar field and gradient operator
- 29 The vector field
- 30 Line integration
- 31 The potential field
- 32 Surface and volume integration
- 33 Flux and divergence
- 34 Circulation and the curl
- 35 Conclusion
- 36 Miscellaneous exercises
- Index
8 - The transformation of matrices
Published online by Cambridge University Press: 20 October 2009
Book contents
- Frontmatter
- Contents
- Preface
- Some notes on notation
- 1 Introduction
- 2 Errors
- 3 Cartesian coordinates
- 4 Vectors
- 5 The scalar product
- 6 The vector product and rotation
- 7 Matrices in physics
- 8 The transformation of matrices
- 9 The matrix eigenvalue equation
- 10 Exponential and logarithm functions
- 11 Sine and cosine functions
- 12 Graph plotting and curve sketching
- 13 Differentiation
- 14 Approximations
- 15 Power series and Taylor's expansion
- 16 Partial differentiation
- 17 Integration
- 18 The differential equation
- 19 Solving first-order differential equations
- 20 Second-order differential equations
- 21 Solving second-order differential equations
- 22 The complex exponential
- 23 The circuit equation
- 24 Harmonics and Fourier series
- 25 The diffusion equation
- 26 Waves
- 27 The rate of change of a vector
- 28 The scalar field and gradient operator
- 29 The vector field
- 30 Line integration
- 31 The potential field
- 32 Surface and volume integration
- 33 Flux and divergence
- 34 Circulation and the curl
- 35 Conclusion
- 36 Miscellaneous exercises
- Index
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- Introduction to Physical Mathematics , pp. 50 - 56Publisher: Cambridge University PressPrint publication year: 1985