Continuous Geometry

出版者:Princeton University Press

作者:John von Neumann

页数:316

出版时间:1998-04-20

价格:USD 72.50

装帧:Paperback

isbn号码:9780691058931

丛书系列:Princeton Landmarks in Mathematics and Physics

图书标签:连续几何Math数学微分几何7

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.