By Sergio Albeverio
Feynman direction integrals integrals, steered heuristically by way of Feynman within the 40s, became the foundation of a lot of latest physics, from non relativistic quantum mechanics to quantum fields, together with gauge fields, gravitation, cosmology. lately rules in accordance with Feynman direction integrals have additionally performed a massive function in components of arithmetic like low dimensional topology and differential geometry, algebraic geometry, limitless dimensional research and geometry, and quantity idea.
The 2nd variation of LNM 523 is in keeping with the 2 first authors' mathematical process of this concept provided in its 1st version in 1976. to maintain the numerous advancements that have happened in view that then, a complete new bankruptcy in regards to the present leading edge of analysis has been added. Except for this new bankruptcy, the elemental fabric and presentation of the 1st version was once mantained, a number of misprints were corrected. on the finish of every bankruptcy the reader also will locate notes with extra bibliographical information.