{"product_id":"continuous-geometry-john-von-neumann-9780691058931","title":"Continuous Geometry","description":"\u003cp\u003eIn his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system \u003ci\u003eLn\u003c\/i\u003e. In characterizing its properties, von Neumann founded the field of continuous geometry. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e John Von Neumann\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691058938\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691058931\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/10\/1998\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 312\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.95lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.96h x 5.94w x 0.78d","brand":"John Von Neumann","offers":[{"title":"Paperback","offer_id":44491370070271,"sku":"9780691058931","price":115.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_83293f88-a62e-4ecb-8063-6f86c122aeb7.jpg?v=1699450818","url":"https:\/\/www.whiterainbookhouse.com\/products\/continuous-geometry-john-von-neumann-9780691058931","provider":"WR Book House","version":"1.0","type":"link"}