Overview
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.
Full Product Details
Author: Sergio Albeverio ,
Rafael Høegh-Krohn ,
Sonia Mazzucchi
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2nd, corr. and enlarged ed. 2008
Volume: 523
Dimensions:
Width: 15.50cm
, Height: 1.00cm
, Length: 23.50cm
Weight: 0.630kg
ISBN: 9783540769545
ISBN 10: 3540769544
Pages: 182
Publication Date: 30 May 2008
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews of the second edition: The second edition (from 2008) contains a large additional chapter ! entitled 'Some Recent Developments', where alternative attempts at a rigourous formalism are presented, as well as recent applications. Summarizing, this is a good and insightful book for those familiar with path integrals and curious about the mathematic foundations of path integration. (Jacques Tempere, Belgian Physical Society Magazine, Issue 2, June, 2009)
From the reviews of the second edition: The second edition (from 2008) contains a large additional chapter ... entitled 'Some Recent Developments', where alternative attempts at a rigourous formalism are presented, as well as recent applications. Summarizing, this is a good and insightful book for those familiar with path integrals and curious about the mathematic foundations of path integration. (Jacques Tempere, Belgian Physical Society Magazine, Issue 2, June, 2009)
