Continuous Geometry: 22 (Princeton Landmarks in Mathematics and Physics) - Softcover
Book 8 of 12: Princeton Landmarks in Mathematics and Physics
Synopsis
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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About the Author
John von Neumann (1903-1957) was a Permanent Member of the Institute for Advanced Study in Princeton.
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Condition: 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. Series: Princeton Landmarks in Mathematics & Physics. Num Pages: 312 pages, black & white illustrations. BIC Classification: PBM; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 16. Weight in Grams: 428. . 1998. Paperback. . . . . Seller Inventory # V9780691058931
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Continuous Geometry
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ISBN 13: 9780691058931
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Paperback. Condition: New. 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. Seller Inventory # LU-9780691058931
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Continuous Geometry
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ISBN 13: 9780691058931
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paperback. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-0691058938