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John Lighton Synge
Features a biographical sketch of the Irish mathematician and physicist John Lighton Synge (1897-1995), presented by the School of Mathematics and Statistics of the University of Saint Andrews in Scotland. Discusses Synge's contributions to theoretical physics.
Relativity
Essential tensor formulae for Riemannian space-time -- The world-function [omega] -- Chronometry in Riemannian space-time -- The material continuum -- Some properties of Einstein fields -- Integral conservation laws and equations of motion -- Fields with spherical symmetry -- Some special universes -- Gravitational waves -- Electromagnetism -- Geometrical optics.
Tensor Calculus
Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.
Relativity
None
Principles Of Mechanics
In a sense this is a book for the beginner in mechanics, but in another sense it is not. From the time we make our first movements, crude ideas on force, mass, and motion take shape in our minds. This body of ideas might be reduced to some order at high school as crude ideas of geometry are reduced to order, but that is not the educational practice in North America. There is rather an accumulation of miscellaneous facts bearing on mechanics, some mathematical and some experimental, until a state is reached where the student is in danger of being repelled by the subject, as a chaotic jumble which is neither mathematics nor physics. This book is intended primarily for students at this stage. T...
