Modern Approach to Functional Integration

• Preface.- Introduction.- Part I: Stochastic Theory.- Probability.- Infinite-Dimensional Integrals.- Stochastic Variable Theory.- Part II: Quantum Theory.- Background to an Analysis of Quantum Mechanics.- Quantum Mechanical Path Integrals.- Coherent State Path Integrals.- Continuous-Time Regularized Path Integrals.- Classical and Quantum Constraints.- Part III: Quantum Field Theory.- Application to Quantum Field Theory.- A Modern Approach to Nonrenormalizable Models.- References.- Index.

From the reviews: "This book is about the formulation and methodology associated with functional integration. ... The present book of Klauder will be quite helpful for theoretical physicists willing to learn the main classical issues and difficulties of functional integration. Mathematicians and, in particular, probabilists should appreciate seeing how some of 'their tools' are used in quantum physics." (Jean-Claude Zambrini, Mathematical Reviews, Issue 2012 c)