Continuous Geometry

von Neumann, John

ISBN 10: 0691058938 / ISBN 13: 9780691058931

Published by Princeton University Press, Princeton, New Jersey, 1988

About this Item

22.5 x 15 cm. xi 299pp. Index. With a foreword by Israel Halperin. Reproduced from notes of lectures on Continuous Geometry given by John von Neumann at Princeton from 1935-37. Part of the Princeton Landmarks in Mathematics series. Seller Inventory # 79288

Bibliographic Details

Title: Continuous Geometry

Publisher: Princeton University Press, Princeton, New Jersey

Publication Date: 1988

Binding: Paperback

Condition: Fine

About this title

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.

About the Author:

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