Mathematical Techniques in Crystallography and Materials Science

This practical guide and reference serves as a unified source book for students and professionals, and it provides a solid basis for further studies in more specialized literature. Based Prince's decades of practical experience, it can be recommended as an introduction for beginners in crystallography, as a refresher and handy guide for crystallographers working on specific problems, and as a reference for others seeking a dictionary of basic mathematical and crystallographic terms. The third edition further clarifies key points.

ISBN 354021111X   Pages 240 ISBN13 9783540211112 (What's this?)   Volumes 1 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG   Weight (grammes) 343 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K   Published in Berlin Format Paperback   Height (mm) 234 Publication date 23 Mar 2004   Width (mm) 156 Library of Congress 94-17913   Spine width (mm) 12 DEWEY 548.7   Academic level Postgraduate, Professional / Scholarly DEWEY edition DC22

Ch. 1		Matrices : definitions and fundamental operations		1
Ch. 2		Symmetry of finite objects		20
Ch. 3		Symmetry of infinitely repeated patterns		40
Ch. 4		Vectors		49
Ch. 5		Tensors		58
Ch. 6		Data Fitting		77
Ch. 7		Estimation of uncertainty		95
Ch. 8		Significance and accuracy		107
Ch. 9		Constrained crystal structure refinement		124
Ch. 10		The fast Fourier transform		140
App. A		Stereographic projection		157
App. B		Eigenvalues and eigenvectors of 3 x 3 symmetric matrices		161
App. C		Sublattices and superlattices		163
App. D		The probability integral, the gamma function, and related topics		165
App. E		The harmonic oscillator in quantum mechanics : Bloch's theorem		173
App. F		Symmetry restrictions on second, third, and fourth rank tensors		181

From the reviews of the third edition: "Mathematical Techniques in Crystallography and Material Science brings together common and less familiar mathematical procedures used in studies of the structures and physical properties of solids. This practical guide and reference serves as a unified source book for students and professionals, and it provides a solid basis for further studies in more specialized literature. Based Prince's decades of practical experience, it can be recommended as an introduction for beginners in crystallography, as a refresher and handy guide for crystallographers working on specific problems ! ." (Chimie Nouvelle Societe, Vol. 23 (89), 2005) "This book presents a series of mathematical methods and procedures ! . The material is well set out ! . In a refreshing approach, the references are introduced with a historical flavour. ... This type of book would be particularly useful for students and professionals who are new to crystallography. It would also be a handy guide to materials scientists ! . this book generally fulfils its aims as a practical guide and reference to students and professionals in the field of crystallography." (Dougal McCulloch, Chemistry in Australia, November, 2004)

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