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OverviewIn the course of 30 years as a practicing crystallographer I have frequently been faced with the necessity of finding out a little bit about some general branch of mathematics with which I was previously unfamiliar. Under these circumstances I have usually followed the common practice of seeking out some colleague who would be expected to have a thorough knowledge of the subject. I would then find myself faced either with an involved lecture in which the colleague would attempt to distill a lifetime of experience into a form that was comprehensible to a novice with a very different background, or with a book about the subject, written by a specialist, that contained far more information than I really wanted to know. I would have to separate the few kernels of useful material from a large volume of what would probably be wheat to someone else, but was chaff to me. In the course of that time I have acquired a collection of books to which I frequently refer. Most of these have a small number of thoroughly dog-eared pages, along with many that have scarcely been opened. During the same period I have been privileged to associate and collabo rate with a number of materials scientists who were not trained as crystal lographers, but whose interests required them to understand particular details of some structural problem. Full Product DetailsAuthor: E. Prince , E PrincePublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 1982 ed. Weight: 0.460kg ISBN: 9780387906270ISBN 10: 0387906274 Pages: 192 Publication Date: 08 March 1982 Audience: Professional and scholarly , Professional & Vocational Replaced By: 9783540581154 Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of Contents1 Matrices: Definitions and Fundamental Operations.- Fundamental Matrix Operations.- Linear Algebra.- Eigenvalues.- Linear Transformations.- Rotation of Axes.- The Metric Tensor.- 2 Symmetry of Finite Objects.- Groups.- Representations.- Point Groups.- Basis Functions.- 3 Symmetry of Infinitely Repeated Patterns.- Bravais Lattices.- Space Groups.- 4 Vectors.- Scalar and Vector Products.- The Reciprocal Lattice.- The Orientation Matrix.- Zones and Forms.- Sublattices and Superlattices.- 5 Tensors.- Covariance and Contravariance.- The Multivariate Normal Distribution.- Anisotropic Temperature Factors.- The Equivalent Isotropic Temperature Factor.- Effect of Symmetry.- Tensors of Higher Ranks.- Moments and Cumulants.- Rigid-Body Motion.- 6 Data Fitting.- Fitting Functions.- Finding the Minimum.- False Minima.- 7 Estimation of Uncertainty.- Estimates.- The Precision of Estimates of Precision.- Models with More than One Parameter.- Estimates of Uncertainty When the Algorithm Is Not Least Squares.- 8 Significance and Accuracy.- The F Distribution.- Student’s t Distribution.- Correlation.- The Relation between Precision and Accuracy.- Uncertainties of Derived Functions: Propagation of Errors.- 9 Constrained Crystal Structure Refinement.- The Observed Data.- The Model.- The General Form for a Constrained Model.- Shape Constraints.- Rigid-Body Thermal Motion Constraints.- Chemical Constraints.- Representing non-Gaussian Distributions.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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