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John von Neumann 作者

Princeton University Press

译者

1998-04-20 出版日期

316 页数

USD 72.50 价格

Paperback

Princeton Landmarks in Mathematics and Physics 丛书系列

9780691058931 图书编码

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Continuous Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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.

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