[PDF] Geometry, particles and fields Bjoern Felsager

Topics covered include: Basic Properties of Particles and Fields; Electromagnetism; Interaction of Fields and Particles; Dynamics of Classical Fields; Solitons; Path Integrals and Instantons; Basic Principles and Applications of Differential Geometry; Differentiable Manifolds and Tensor Analysis; Differential Forms and the Exterior Algebra; Integral Calculus on Manifolds; Dirac Monopoles; Smooth Maps and Winding Numbers; Symmetries and Conservation Laws