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Continuous Geometry
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Continuous Geometry Paperback - 1998

by John Von Neumann; Foreword by Israel Halperin

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 Newmann founded the field of continuous geometry. For students and researchers interested in ring theory or projective geometries, von Neumann discusses his findings and their applications.


From the publisher

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.

First line

The basis of our discussion is a class L of elements a, b, c, , two or more in number, together with a binary relation < between pairs of elements of L. Unless otherwise specified, Axioms I-VI listed below will be assumed.

Details

  • Title Continuous Geometry
  • Author John Von Neumann; Foreword by Israel Halperin
  • Binding Paperback
  • Edition Reissued, 1st th
  • Pages 312
  • Volumes 1
  • Language ENG
  • Publisher Princeton University Press, Princeton
  • Date 1998-05-10
  • ISBN 9780691058931 / 0691058938
  • Weight 0.95 lbs (0.43 kg)
  • Dimensions 8.96 x 5.94 x 0.78 in (22.76 x 15.09 x 1.98 cm)
  • Dewey Decimal Code 516.57

About the author

John von Neumann (1903-1957) was a Permanent Member of the Institute for Advanced Study in Princeton.
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Continuous Geometry
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Paperback / softback. New. Based on von Neumann's lecture notes, this book 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.
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Continuous Geometry
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Continuous Geometry

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Princeton Univ Pr, 1998. Paperback. New. 299 pages. 9.00x6.00x0.75 inches.
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Continuous Geometry
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Continuous Geometry

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