FEYNMAN PATH INTEGRALS and SumOverHistories
Quantum Mechanics:
 General:

Feynman path integral
[PlanetMath]

Path integral formulation
[Wikipedia]

On the Definition and Approximation of Feynman's Path Integrals
by Cécile Morette (DeWitt)
[Phys. Rev. 81, 848 (1951)]

Quantum Mechanics and Path Integrals
by Richard P. Feynman and Albert R. Hibbs
[New York: McGrawHill, 1965]

Feynman's path integral: Definition without limiting procedure
by Cécile Morette DeWitt
[Comm. Math. Phys. 28, 47 (1974)]

Mathematical Theory of Feynman Path Integrals
by Sergio Albeverio and Raphael HöeghKrohn
[University of Oslo, 1974]

An Introduction into the Feynman Path Integral
by Christian Grosche
[1993/02]

Diagrammatica
by Martinus Veltmann
[Cambridge, 1995]

How to solve path integrals in quantum mechanics
by Christian Grosche and Frank Steiner
[J. Math. Phys. 36, 2354 (1995)]

Feynman's proper time approach to QED
by Edgardo Garcia Alvarez and Fabian Gaioli
[Found. Phys. 28, 1529 (1998)]

Handbook of Feynman Path Integrals
by Christian Grosche and Frank Steiner.
[Berlin: Springer, 1998]

Teaching Feynman's Sum Over Paths Quantum Theory
by Edwin F. Taylor et al.
[Computers in Physics 12, 190 (1998)]

World Line Path Integrals as a Calculational Tool in Quantum Field Theory
by Michael G. Schmidt and Christian Schubert
[1998/10]

A History of Feynman's Sum over Histories in Quantum Mechanics
by Akira Inomata and Georg Junker
[1998/11]

The Feynman Integral and Feynman's Operational Calculus
by Gerald W. Johnson and Michel L. Lapidus
[Oxford, 2000]

Review
by Meinhard E. Mayer
[Physics Today (August 2001)]

Path Integral Methods and Applications
by Richard MacKenzie
[2000/01]

Path Integrals and Their Application to Dissipative Quantum Systems
by GertLudwig Ingold
[Lecture Notes in Physics 611, 1 (2002)]

The Feynman Legacy
by Lucian M. Ionescu
[2007/01]

Undergraduate Lecture Notes in Topological Quantum Field Theory
by Vladimir G. Ivancevic and Tijana T. Ivancevic
[2008/10]

Introduction to Feynman Integrals
by Stefan Weinzierl
[2009/07]

Path Integrals in Quantum Physics
by R. Rosenfelder
[2012/09]

Introduction aux méthodes d'intégrale de chemin
et applications
by NourEddine Fahssi
[2013/03]

Lectures on BatalinVilkovisky formalism and
its applications in topological quantum field theory
by Pavel Mnev
[2016] 155 pp.

Feynman integrals
by S. Weinzierl
[2022/01] 814 pp., 136 solved exercises

Four lectures on Euler integrals
by S.J. MatsubaraHeo et al.
[2023/06]
 Re: BOHMDE BROGLIE QUANTUM MECHANICS:
 Re: DIFFERENTIAL GEOMETRY:
 Re: DISSIPATIVE SYSTEMS:
 Re: HOMOTOPIES:
 Re: INSTANTONS:
 Re: MANYBODY PHYSICS:
 Re: MONTE CARLO METHODS:
 Re: STOCHASTIC DIFFERENTIAL EQUATIONS:
 Re: THERMAL FIELD THEORY: