From Physical Concept to Mathematical Structure: An Introduction to Theoretical Physics

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Lynn E.H. Trainor Mark B. Wise

From Physical Concept to Mathematical Structure

An Introduction to Theoretical Physics

Lynn E.H. Trainor, Mark B. Wise, Lynn H. Tranor

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English

University of Toronto Press
01 February 1981

Physics; States of matter; Low temperature physics; Physics of gases; Mathematical physics

Series: Heritage

The text takes an innovative approach to theoretical physics. It surveys the field in a way that emphasizes perspective rather than content per se, and identifies certain common threads, both conceptual and methodological, which run through the fabric of the subject today. Starting from recognized physical concepts, it demonstrates how these have led to the mathematical structures used extensively in physical theory and displays the unity of basic physics seen from the viewpoint of the symmetries of nature as manifested in the sensorial properties of physical quantities and physical laws.

The text focuses particularly on the linearity principle. As consideration of the description of physical events as viewed from difference reference frames leads on to a discussion of the concepts of tensors and tensor fields as well as the theory of groups and group representations. As the concept of tensors is developed and broadened into multidimensional spaces, examples from elasticity theory, quantum mechanics, and the structure of elementary particles are considered. The nature of linear theories is illustrated repeatedly, but special attention is given to quantum mechanics and special relativity. The text also introduces non-linear geometry, in the sense of both Gauss and Riemann, and considers Riemannian geometry more extensively, as a prelude to a brief introduction to general relativity. The ten main chapters contain references, footnotes, and problems to assist the reader to pursue any topic further.

The volume can serve as a text or supplementary text in advanced undergraduate or graduate programs in theoretical physics and should also prove of interest to practicing physicists, mathematicians, and theoretical chemists and biologists.

By: Lynn E.H. Trainor, Mark B. Wise, Lynn H. Tranor
Imprint: University of Toronto Press
Country of Publication: Canada
Edition: New edition
Dimensions: Height: 235mm, Width: 155mm, Spine: 19mm
Weight: 610g
ISBN: 9780802064325
ISBN 10: 0802064329
Series: Heritage
Pages: 277
Publication Date: 01 February 1981
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

LYNN E.H. TRAINOR is a member of the Department of Physics at the University of Toronto. MARK B. WISE is a Junior Fellow in the Department of Physics at Harvard University.