Tuesday, July 30, 2013

Physical Properties of Crystals: Their Representation by Tensors and Matrices

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Physical Properties of Crystals: Their Representation by Tensors and Matrices by J. F. Nye offers additional chapter bringing the material up to date. The author formulates the physical properties of crystals systematically in tensor notation, presenting tensor properties in terms of their common mathematical basis and the thermodynamic relations between them.

The mathematical groundwork is laid in a discussion of tensors of the first and second ranks. Tensors of higher ranks and matrix methods are then introduced as natural developments of the theory. A similar pattern is followed in discussing thermodynamic and optical aspects.

It is unusual to be asked to review a book published more than 25 years ago and it is equally uncommon, therefore, for the reviewer to have a well-thumbed personal copy of the book; however, Nye's book, currently in the eighth printing of the first edition, is unusual in the clarity of its presentation and its applicability to understanding crystals and their interaction to various types of external events. This reviewer welcomes the opportunity to extoll the merits of this book to a new segment of the geoscience community.

In this textbook designed for advanced undergraduates, the author develops a description of the physical properties of crystals in tensor notation and presents the mathematical basis for these properties. He is not concerned with the explanation of particular crystal properties in terms of atomic structure.

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