TY - BOOK ID - 5453567 TI - Mathematical theory of Feynman path integrals : an introduction AU - Albeverio, Sergio. AU - Hoegh-Krohn, Raphael. AU - Mazzucchi, Sonia. PY - 2008 SN - 9783540769545 3540769544 3540769560 PB - Berlin : Springer, DB - UniCat KW - Feynman integrals. KW - Feynman, Intégrales de KW - Feynman integrals KW - Calculus KW - Mathematical Theory KW - Atomic Physics KW - Physics KW - Mathematics KW - Physical Sciences & Mathematics KW - Mathematics. KW - Functional analysis. KW - Global analysis (Mathematics). KW - Manifolds (Mathematics). KW - Integral equations. KW - Measure theory. KW - Operator theory. KW - Probabilities. KW - Integral Equations. KW - Measure and Integration. KW - Functional Analysis. KW - Operator Theory. KW - Probability Theory and Stochastic Processes. KW - Global Analysis and Analysis on Manifolds. KW - Probability KW - Statistical inference KW - Combinations KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk KW - Functional analysis KW - Lebesgue measure KW - Measurable sets KW - Measure of a set KW - Algebraic topology KW - Integrals, Generalized KW - Measure algebras KW - Rings (Algebra) KW - Equations, Integral KW - Functional equations KW - Geometry, Differential KW - Topology KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Functional calculus KW - Calculus of variations KW - Integral equations KW - Math KW - Science KW - Feynman diagrams KW - Multiple integrals KW - Distribution (Probability theory. KW - Global analysis. KW - Global analysis (Mathematics) KW - Distribution functions KW - Frequency distribution KW - Characteristic functions KW - Probabilities UR - https://www.unicat.be/uniCat?func=search&query=sysid:5453567 AB - 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. ER -