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Leech J.W., Newman D.J. How to use groups

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Leech J.W., Newman D.J. How to use groups
London: Methuen, 1969.– 133 p.
The monograph has an aim which is embodied in its title – to give a reader with no special expertise in mathematics a working knowledge in group theory and, in particular, the ability to apply the theory. In order to achieve this end attention is concentrated on the applications of the basic theorems, and proofs, which can be distracting and demoralizing, are relegated to appendices.
After the introducing of the basic concepts and theorems these are applied to molecular vibrations, the Schrödinger equation, space groups and lattice vibrations and to crystal field theory.
Symmetry
The group concept
Point groups
Group representations
Molecular vibrations
Symmetry co-ordinates
The Schrödinger equation
Direct products
Space groups and lattice vibrations
Crystal field theory
Selections rules
Summary of further applications
General bibliography
Apendixes
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