I An Introduction to Modern Physics. - 1 Quantum Theory. - 2 Classical Statistical Mechanics. - 3 The Feynman-Kac Formula. - 4 Correlation Inequalities and the Lee-Yang Theorem. - 5 Phase Transitions and Critical Points. - 6 Field Theory. - Appendix to Part I. Hilbert Space Operators and Functional Integrals. - II Function Space Integrals. - 7 Covariance Operator = Green's Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution. - 8 Quantization = Integration over Function Space. - 9 Calculus and Renormalization on Function Space. - 10 Estimates Independent of Dimension. - 11 Fields Without Cutoffs. - 12 Regularity and Axioms. - III The Physics of Quantum Fields. - 13 Scattering Theory: Time-Dependent Methods. - 14 Scattering Theory: Time-Independent Methods. - 15 The Magnetic Moment of the Electron. - 16 Phase Transitions. - 17 The ?4 Critical Point. - 18 The Cluster Expansion. - 19 From Path Integrals to Quantum Mechanics. - 20 The Polymer Expansion. - 21 Random Path Representations. - 22 Constructive Gauge Theory and Phase Cell Localization. - 23 Further Directions. Language: English