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This book is aimed at providing a coherent, essentially
self-contained, rigorous and comprehensive abstract theory of
Feynman's operational calculus for noncommuting operators. Although
it is inspired by Feynman's original heuristic suggestions and
time-ordering rules in his seminal 1951 paper An operator calculus
having applications in quantum electrodynamics, as will be made
abundantly clear in the introduction (Chapter 1) and elsewhere in
the text, the theory developed in this book also goes well beyond
them in a number of directions which were not anticipated in
Feynman's work. Hence, the second part of the main title of this
book. The basic properties of the operational calculus are
developed and certain algebraic and analytic properties of the
operational calculus are explored. Also, the operational calculus
will be seen to possess some pleasant stability properties.
Furthermore, an evolution equation and a generalized integral
equation obeyed by the operational calculus are discussed and
connections with certain analytic Feynman integrals are noted. This
volume is essentially self-contained and we only assume that the
reader has a reasonable, graduate level, background in analysis,
measure theory and functional analysis or operator theory. Much of
the necessary remaining background is supplied in the text itself.
This book provides the most comprehensive mathematical treatment to date of the Feynman path integral. It is written so as to be accessible to mathematicians, mathematical physicists and theoretical physicists. A significant amount of background material is provided for the main topics, and complete proofs are given for most of the central results, making the book suitable for use in an advanced graduate course.
Johnson is concerned with the waste of land and human wealth in the
Southeast. He believes that in practically every form it takes this
waste is avoidable and remediable. He proposes a constructive
regional planning program that would increase the wealth of the
region by a staggering proportion until it would be capable of
sustaining a civilization as fine as any the world has ever seen.
Originally published in 1938. A UNC Press Enduring Edition - UNC
Press Enduring Editions use the latest in digital technology to
make available again books from our distinguished backlist that
were previously out of print. These editions are published
unaltered from the original, and are presented in affordable
paperback formats, bringing readers both historical and cultural
value.
This is a new release of the original 1947 edition.
Tanner, like so many of the region's giants, began his career in
the South's dismal age of reconstruction. This is not only the
Tanner story but, in microcosm, the story of those significant
southern institutions, mill stores and villages, and the story of
the rise of an industrial South. Originally published in 1952. A
UNC Press Enduring Edition -- UNC Press Enduring Editions use the
latest in digital technology to make available again books from our
distinguished backlist that were previously out of print. These
editions are published unaltered from the original, and are
presented in affordable paperback formats, bringing readers both
historical and cultural value. |This is the inspiring biography of
the one-time commandant of cadets at Hampton Institute and the
successor to Booker T. Washington at Tuskegee Institute as related
by his lifelong friends, colleagues, and students. The years he
spent at Tuskegee in the shadow of the great and the vision and
courage necessary to change that institution from a vocational
school to a liberal arts college are vividly recounted.
Kessinger Publishing is the place to find hundreds of thousands of
rare and hard-to-find books with something of interest for
everyone!
Kessinger Publishing is the place to find hundreds of thousands of
rare and hard-to-find books with something of interest for
everyone!
Kessinger Publishing is the place to find hundreds of thousands of
rare and hard-to-find books with something of interest for
everyone!
Kessinger Publishing is the place to find hundreds of thousands of
rare and hard-to-find books with something of interest for
everyone!
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