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Feynman integrals. --- Feynman, Intégrales de --- Feynman, Intégrales de

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Functional analysis --- Feynman integrals. --- Calculus, Operational. --- Feynman, Intégrales de --- Calcul symbolique --- Feynman, Intégrales de

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Statistical physics --- Quantum mechanics. Quantumfield theory --- Mathematical physics --- Measure theory. Mathematical integration --- 51-7 --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Feynman integrals. --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Feynman, Intégrales de

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Algebraic topology --- Discrete mathematics --- Graph theory --- Electric networks --- 515.14 --- Feynman integrals --- Picard-Lefschetz theory --- Lefschetz theorem, Picard --- -Lefschetz theory, Picard --- -Picard-Lefschetz theorem --- Geometry, Algebraic --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Feynman diagrams --- Multiple integrals --- Network theory --- Networks, Electric --- Electric circuits --- Electric lines --- Electric power distribution --- System analysis --- Extremal problems --- Algebraic topology. --- Electric networks. --- Feynman integrals. --- Graph theory. --- Picard-Lefschetz theory. --- 515.14 Algebraic topology --- Feynman, Intégrales de --- Réseaux électriques (circuits) --- Graphes, Théorie des --- Topologie algébrique --- Feynman, Intégrales de --- Graphes, Théorie des --- Réseaux électriques (circuits) --- Topologie algébrique

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Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments since then, an entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Feynman integrals. --- Feynman, Intégrales de --- Feynman integrals --- Calculus --- Mathematical Theory --- Atomic Physics --- Physics --- Mathematics --- Physical Sciences & Mathematics --- Mathematics. --- Functional analysis. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Integral equations. --- Measure theory. --- Operator theory. --- Probabilities. --- Integral Equations. --- Measure and Integration. --- Functional Analysis. --- Operator Theory. --- Probability Theory and Stochastic Processes. --- Global Analysis and Analysis on Manifolds. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Functional analysis --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Equations, Integral --- Functional equations --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Functional calculus --- Calculus of variations --- Integral equations --- Math --- Science --- Feynman diagrams --- Multiple integrals --- Distribution (Probability theory. --- Global analysis. --- Global analysis (Mathematics) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities