## Continuous Geometry |

In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system 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. "This historic book should be in the hands of everyone interested in rings and projective geometry." "Much in this book is still of great value, partly because it cannot be found elsewhere ... partly because of the very clear and comprehensible presentation. This makes the book valuable for a first study of continuous geometry as well as for research in this field."
- Functional Operators, Volume 1: Measures and Integrals. (AM-21). [Paperback]
- Functional Operators, Volume 2: The Geometry of Orthogonal Spaces. (AM-22). [Paperback]
- Mathematical Foundations of Quantum Mechanics. [Paperback]
- Theory of Games and Economic Behavior. [Paperback]
Hardcover published in 1960 | |||||||

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