TY - BOOK AU - Schutz, Bernard F. AU - Bernard F. Schutz. TI - Geometrical methods of mathematical physics SN - 9780521298872 U1 - 516.36 SCH PY - 1980/// CY - , Cambridge PB - : Cambridge University Press KW - Differential geometrie KW - Geometrie KW - Physics (General) KW - Geometry N1 - 1. Some basic mathematics 2. Differentiable manifolds and tensors 3. Lie derivatives and Lie groups 4. Differential forms 5. Applications in physics 6. Connections for Riemannian manifolds and gauge theories N2 - "In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory." ER -