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.

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!

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!