Overview
In his work on rings of operators in Hilbert space, the author discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, John 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.
Full Product Details
Author: John von Neumann ,
Israel Halperin
Publisher: Princeton University Press
Imprint: Princeton University Press
Dimensions:
Width: 19.70cm
, Height: 1.60cm
, Length: 25.40cm
Weight: 0.425kg
ISBN: 9780691058931
ISBN 10: 0691058938
Pages: 312
Publication Date: 10 May 1998
Audience:
Professional and scholarly
,
College/higher education
,
Professional & Vocational
,
Tertiary & Higher Education
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Language: English
Reviews
"""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"
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
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
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
Author Information
John von Neumann (1903-1957) was a Permanent Member of the Institute for Advanced Study in Princeton.
