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Continuous Geometry
John Von Neumann
€ 117.26
€ 88.98
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Description for Continuous Geometry
Paperback. 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.
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, ... Read more
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, ... Read more
Product Details
Format
Paperback
Publication date
1998
Publisher
Princeton University Press United States
Number of pages
312
Condition
New
Series
Princeton Landmarks in Mathematics & Physics
Number of Pages
312
Place of Publication
New Jersey, United States
ISBN
9780691058931
SKU
V9780691058931
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About John Von Neumann
John von Neumann (1903-1957) was a Permanent Member of the Institute for Advanced Study in Princeton.
Reviews for Continuous Geometry
"This historic book should be in the hands of everyone interested in rings and projective geometry."
R. J. Smith, The Australian Journal of Science "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 ... Read more
R. J. Smith, The Australian Journal of Science "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 ... Read more