An introduction to semi-Riemannian geometry as a basis for normal relativity
Semi-Riemannian Geometry: The Mathematical Language of General Relativity (PDF) is an accessible exposition of the arithmetic underlying normal relativity. The book begins with background on linear and multilinear algebra, normal topology, and actual evaluation. This is trailed by materials on the classical idea of curves and surfaces, expanded to incorporate each the Euclidean and Lorentz signatures. The the rest of the book is devoted to a dialogue of easy manifolds, easy manifolds with boundary, semi-Riemannian manifolds, easy manifolds with a connection and differential operators, culminating in functions to Maxwell’s equations and the Einstein tensor. Numerous labored examples and detailed diagrams are supplied to help understanding. This book will attraction particularly to physics college students wishing to study extra differential geometry than is normally provided in texts on normal relativity.
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