Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Phases and Mesophases
- 2 Phase Transitions
- 3 Order Parameters
- 4 Distributions
- 5 Particle–Particle Interactions
- 6 Dynamics and Dynamical Properties
- 7 Molecular Theories
- 8 Monte Carlo Methods
- 9 The Molecular Dynamics Method
- 10 Lattice Models
- 11 Molecular Simulations
- 12 Atomistic Simulations
- Appendix A A Modicum of Linear Algebra
- Appendix B Tensors and Rotations
- Appendix C Taylor Series
- Appendix D The Dirac Delta Function
- Appendix E Fourier Series and Transforms
- Appendix F Wigner Rotation Matrices and Angular Momentum
- Appendix G Molecular and Mesophase Symmetry
- Appendix H Quaternions and Rotations
- Appendix I Nuclear Magnetic Resonance
- Appendix J X-ray Diffraction
- Appendix K Stochastic Processes
- Appendix L Simulating Polarized Optical Microscopy Textures
- Appendix M Units and Conversion Factors
- Appendix N Acronyms and Symbols
- References
- Index
Appendix C - Taylor Series
Published online by Cambridge University Press: 21 July 2022
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Phases and Mesophases
- 2 Phase Transitions
- 3 Order Parameters
- 4 Distributions
- 5 Particle–Particle Interactions
- 6 Dynamics and Dynamical Properties
- 7 Molecular Theories
- 8 Monte Carlo Methods
- 9 The Molecular Dynamics Method
- 10 Lattice Models
- 11 Molecular Simulations
- 12 Atomistic Simulations
- Appendix A A Modicum of Linear Algebra
- Appendix B Tensors and Rotations
- Appendix C Taylor Series
- Appendix D The Dirac Delta Function
- Appendix E Fourier Series and Transforms
- Appendix F Wigner Rotation Matrices and Angular Momentum
- Appendix G Molecular and Mesophase Symmetry
- Appendix H Quaternions and Rotations
- Appendix I Nuclear Magnetic Resonance
- Appendix J X-ray Diffraction
- Appendix K Stochastic Processes
- Appendix L Simulating Polarized Optical Microscopy Textures
- Appendix M Units and Conversion Factors
- Appendix N Acronyms and Symbols
- References
- Index
Summary
A brief derivation of the Taylor expansion for a scalar function depending on a vector, with application to the inverse distance dependence in the Coulomb expression for electrostatic interactions.
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- Chapter
- Information
- Liquid Crystals and their Computer Simulations , pp. 555 - 557Publisher: Cambridge University PressPrint publication year: 2022