Continuous Geometry by John Von Neumann

Continuous Geometry by John Von Neumann

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.

"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 geometry as well as for research in this field."--F. D. Veldkamp, Nieuw Archief voor Wiskunde

John von Neumann (1903-1957) was a Permanent Member of the Institute for Advanced Study in Princeton.

SKU	Unavailable
ISBN 13	9780691058931
ISBN 10	0691058938
Title	Continuous Geometry
Author	John Von Neumann
Series	Princeton Landmarks In Mathematics And Physics
Condition	Unavailable
Binding Type	Paperback
Publisher	Princeton University Press
Year published	1998-05-10
Number of pages	312
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.