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Continuous Geometry by John Von Neumann
Book DescriptionIn his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Neumann founded the field of continuous geometry. This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, and--for the irreducible case--the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading.
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Book DetailsISBN: 9780691058931
(229mm x 152mm x 16mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 20-Apr-1998
Country of Publication: United States
Books By Author John Von Neumann
Computer and the Brain, Paperback (July 2012)
Explores the analogies between computing machines and the living human brain. This title shows that the brain operates both digitally and analogically, but also has its own unique statistical language.
Theory of Games and Economic Behavior, Paperback (March 2007)
Published in 1944, "Theory of Games and Economic Behavior" featured a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. This title includes the original text, an introduction by Harold Kuhn, and reviews and articles on the book that appeared at the time of its original publication.
Mathematical Foundations of Quantum Mechanics, Paperback (October 1996)» View all books by John Von Neumann
Shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. This title presents the theory of Hermitean operators and Hilbert spaces.
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