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Modern Differential Geometry For Physicists

Modern Differential Geometry For Physicists (Hardback)

£49.00
Currently unavailable. Foyles can order for despatch to customer when the publisher is re-supplied on 01/08/1989.
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Synopsis

These notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by the first-year theoretical physics PhD students, or by students attending the one-year MSc course "Fundamental Fields and Forces" at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen with an eye to the way in which differential geometry is applied these days to modern theoretical physics. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, non-linear sigma-models and other types of non-linear field systems that feature in modern quantum field theory. This volume is in three parts dealing with, respectively, (i) introductory coordinate-free differential geometry, (ii) geometrical aspects of the theory of Lie groups and Lie group actions on manifolds, (iii) introduction to the theory of fibre bundles. In the first part of the book the author has laid considerable stress on the basic ideas of "tangent space structure" which he develops from several different points of view: some geometrical, and others more algebraic. This is done with the awareness of the difficulty which physics graduate students often experience when being exposed for the first time to the rather abstract ideas of differential geometry.

Science & MathematicsMathematicsGeometryDifferential & Riemannian geometryScience & MathematicsMathematicsGeometryEuclidean geometryScience & MathematicsMathematicsGeometryFractal geometryScience & MathematicsScience: general issuesMaths for scientistsTechnicalEngineering & General TechnologyMaths for engineers Publisher: World Scientific Publishing Co Pte Ltd Publication Date: 01/08/1989 ISBN-13: 9789971509569  Details: Type: Hardback Format: Books
Availability: Currently unavailable. Foyles can order for despatch to customer when the publisher is re-supplied on 01/08/1989.  

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