Prince Edward. Mathematical Techniques in Crystallography and Materials Science

2nd Edition. — Springer, 1994. — 234 p. — ISBN: 364297578X.Crystallographers have to apply many mathematical methods in their daily work. If ever they have a problem, this book will help to solve it. The newcomer starting work will learn how to apply these tools, the practicing crystallographer will find all the data and background material he wants to look up.
In the decade since the first edition was published, new things have happened that required revision beyond correction of errors. Two chapters have been added: a section on the projection matrix and another on fast Fourier Transform. The author collected the information during his professional career. The success of the first edition indicates that many other practicing crystallographers just need exactly that information.Matrices: Definitions and Fundamental Operations
Symmetry of Finite Objects
Symmetry of Infinitely Repeated Patterns
Vectors
Tensors
Data Fitting
Estimation of Uncertainty
Significance and Accuracy
Constrained Crystal Structure Refinement
The Fast Fourier Transform
Appendixes
Stereographic Projection
Eigenvalues and Eigenvectors of 3×3 Symmetric Matrices
Sublattices and Superlattices
The Probability Integral, the Gamma Function, and Related Topics
The Harmonic Oscillator in Quantum Mechanics: Bloch's Theorem
Symmetry Restrictions on Second, Third, and Fourth Rank Tensors
Some Useful Computer Programs