Comprehensive, detailed, and systematic, this volume presents the fundamentals of path integrals, both the Wiener and Feynman type.

Volume 1: 1 Path Integrals in Classical Theory. Brownian motion: Introduction to the concept of parth integration. Wiener path integrals and stochastic processes. 2 Path integrals in Quantum Mechanics. Feynman path integrals. Path integrals in Hamiltonian formalism. Quantizations, the operator ordering problem and path integrals. Path integrals and quantizations in spaces with topologiecal constraints. Path integrals in curved spaces, space time transformations and the Coulomb problem. Path integrals over anticommuting variables for fermions and generalisations. Appendices. Bibliography. Index.