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Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.
This comprehensive study guide covers the complete HSC Maths Extensio n 2 course and has been specifically created to maximise exam success. T his guide has been designed to meet all study needs, providing up-to-dat e information in an easy-to-use format. Excel Maths Exte nsion 2 contains: comprehensive topic-by-topic summaries of the Mathematics Extension 2 course illustrated examples of eac h type of question self-testing questions to reinforce what you have just learned fully worked solutions for every problem chapter summaries for pre-exam revision a summary of Math ematics and Maths Extension 1 - formulae and concepts Also available is Excel Maths Extension 1, also by S. K. Pate l.
High-level text applies group theory to physics problems, develops methods for solving molecular vibration problems and for determining the form of crystal tensors, develops translational properties of crystals, more. 1974 edition.
This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number of exercise problems.