General Theory of Integration in Function Spaces: Including Wiener and Feynmann Integration (Pitman Research Notes in Mathematics Series)

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9780582994652: General Theory of Integration in Function Spaces: Including Wiener and Feynmann Integration (Pitman Research Notes in Mathematics Series)

The technique of functional integration is used in statistical mechanics, quantum mechanics, control theory, signal processing and many other areas.
This book presents a mathematically rigorous theory of integration and variation in function spaces, including theorems on taking limits under the integral sign. The integration is based on the generalised Riemann integral rather than measure theory, and provides a unified mathematical framework for the diverse applications in theoretical physics and information science.
In particular, this book presents a solution to the long-standing problem of providing a rigorous definition and calculus of the Feynman integral in quantum mechanics.
It is of special interest to research workers in real analysis and theoretical physics, and to students of these subjects at degree and postgraduate level. The treatment is self-contained throughout.

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Published by Prentice Hall Press
ISBN 10: 0582994659 ISBN 13: 9780582994652
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Book Description Prentice Hall Press. Paperback. Book Condition: New. UNUSED, LIKE NEW, NOT EX-LIBRARY, 128 pages. The technique of functional integration is used in statistical mechanics, quantum mechanics, control theory, signal processing and many other areas. This book presents a mathematically rigorous theory of integration and variation in function spaces, including theorems on taking limits under the integral sign. The integration is based on the generalised Riemann integral rather than measure theory, and provides a unified mathematical framework for the diverse applications in theoretical physics and information science. In particular, this book presents a solution to the long-standing problem of providing a rigorous definition and calculus of the Feynman integral in quantum mechanics. It is of special interest to research workers in real analysis and theoretical physics, and to students of these subjects at degree and postgraduate level. The treatment is self-contained throughout. Bookseller Inventory # 12942

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