Continuous Geometry
von Neumann, John; Halperin, Israel [Foreword]
Language: English
Published by Princeton University Press, 1998
Series: Book 8 of 12 - Princeton Landmarks in Mathematics and Physics
- Softcover
- New
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Seller Inventory # Q-0691058938
- Title
- Continuous Geometry
- Author
- von Neumann, John; Halperin, Israel [Foreword]
- Publisher
- Princeton University Press
- Publication year
- 1998
- Condition
- New
- Binding
- paperback
- Language
- English
- ISBN 10
- 0691058938
- ISBN 13
- 9780691058931
- Item weight
- 15 ounces
- Dimensions
- 6x0x9
- Series
- Book 8 of 12: Princeton Landmarks in Mathematics and Physics
In 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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