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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
Feynman path integrals 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 which have occurred since then, an entire new chapter about the current forefront of research has been added. Except for this new chapter, the basic material and presentation of the first edition was mantained, a few misprints have been corrected. At the end of each chapter the reader will also find notes with further bibliographical information.
Bibliographic Information
Book Title: Mathematical Theory of Feynman Path Integrals
Authors: Sergio A. Albeverio, Raphael J. Høegh-Krohn
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0079827
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1976
eBook ISBN: 978-3-540-38250-8Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 186
Additional Information: The second edition was published in 2008 with the ISBN 978-3-540-76954-5
Topics: Functional Analysis, Operator Theory