The Feynman Integral and Feynman's Operational Calculus (Oxford Mathematical Monographs) - Hardcover
Synopsis
This text aims to make accessible to mathematicians, physicists and other scientists interested in quantum theory, the beautiful but mathematically difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the approaches to the Feynman integral which are treated in detail in this book are the following: the existence of the Feynman integral is established for very general potentials in all four cases; under more restrictive but still broad conditions, three of these Feynman integrals agree with one another and with the unitary group from the usual approach to quantum dynamics; these same three Feynman integrals possess pleasant stability properties. Much of the material covered has been previously available only in the research literature, and the book also contains some new results. The background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus is discussed, and detailed proofs are provided for the central results.
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Review
Review from previous edition: Accessible, even for beginners ... this book should serve as a standard reference for anybody interested in the mathematical theory of Feynman path integrals and the related operational calculus. (EMS)
Review from previous edition: The last chapter deals with other work related to the book's topics, ranging from alternative approaches to the path integral (so-called Fresnel integrals) to a very readable survey of the influence of Feynman integrals on contempary mathematics and physics. In particular, the authors discuss low dimensional topology and Edward Witten's approach to knot invariants, and they end with a discussion of Maxim Kontsevich's work on deformation quantization. I would recommend this book to serious students of the subject. (Physics Today)
The second one [part of the final chapter] is a most welcome presentation of recent extensions and applications of Feynman's approach to a whole range of physical models of major interest ... it is here that the power of Feynman's approach of inspiring both mathematicans and physicists is best evidentiated. (Zentrablatt Mathematik)
About the Author
Gerald W. Johnson is in the Department of Mathematics and Statistics, University of Nebraska-Lincoln. Michel L. Lapidus is in the Department of Mathematics, University of California, Riverside.
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The Feynman Integral and Feynman's Operational Calculus (Oxford Mathematical Monographs)
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ISBN 13: 9780198535744
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Hardcover. Condition: Very Good+. Dust Jacket Condition: No Dust Jacket. First Edition; First Printing. First Edition (2000) so stated. Very Good+: shows a faint crease to the backstrip; mild rubbing and superficial scratches to the panels; small areas of nudging to the outside edges of both panels; a tiny spot of smudging to the fore-edge; the binding is square and remains secure; the text is clean. Free of any creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome, carefully-used copy, structurally sound and tightly bound, showing minor, unobtrusive imperfections as noted. Lacks DJ. NOT a Remainder, Book-Club, or Ex-Library. Large 8vo (9.5 x 6.35 x 1.85 inches) . Language: English. Weight: 42 ounces. Classic Oxford Blue cloth over boards with gilt titles at the front panel and blackstrip and an embossed Oxford Logo at the front panel. Hardcover: Lacks DJ. The aim of this book is to make accessible to mathematicians, physicists, and other scientists interested in quantum theory, the beautiful but mathematically difficult subjects of the Feynman integral and Feynman's operational calculus. There are many advantages to certain approaches to the Feynman integral which are discussed in detail and much of the material covered has only been previously available in research literature. This book not only brings together all the available background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus, it also includes detailed proofs for the central results and many new or recently discovered results in one complete volume.; Oxford Mathematical Monographs; Large 8vo 9" - 10" tall; xviii, 771 pages. Seller Inventory # 59276
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The Feynman Integral and Feynman*s Operational Calculus (Oxford Mathematical Monographs)
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ISBN 10: 0198535740
ISBN 13: 9780198535744
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