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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John von Neumann (1903-1957) was a Permanent Member of the Institute for Advanced Study in Princeton.
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Condition: good. This item is in overall good condition. Covers and dust jackets are intact but may have minor wear including slight curls or bends to corners as well as cosmetic blemishes including stickers. Pages are intact but may have minor highlighting writing. Binding is intact; however, spine may have slight wear overall. Digital codes may not be included and have not been tested to be redeemable and or active. Minor shelf wear overall. Please note that all items are donated goods and are in used condition. Orders shipped Monday through Friday! Your purchase helps put people to work and learn life skills to reach their full potential. Orders shipped Monday through Friday. Your purchase helps put people to work and learn life skills to reach their full potential. Thank you! Seller Inventory # 466h6j00011Y
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Condition: Bueno. : En su obra sobre anillos de operadores en el espacio de Hilbert, John von Neumann descubrió una nueva estructura matemática que se asemejaba al sistema de celosía Ln. Al caracterizar sus propiedades, von Neumann fundó el campo de la geometría continua. Este libro, basado en las notas de clase de von Neumann, comienza con el desarrollo de los axiomas de la geometría continua, la teoría de la dimensión y, para el caso irreducible, la función D(a). A continuación, se discuten las propiedades de los anillos regulares y se presentan diversos resultados para las celosías que son geometrías continuas, para las que no se asume la irreductibilidad. Para estudiantes e investigadores interesados en la teoría de anillos o las geometrías proyectivas, este libro es una lectura obligada. EAN: 9780691058931 Tipo: Libros Categoría: Otros Título: Continuous Geometry Autor: John Von Neumann Editorial: Princeton University Press Idioma: en Páginas: 312 Formato: tapa blanda. Seller Inventory # Happ-2025-08-25-6ea3dae8
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Paperback. Condition: Fine. 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
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Condition: New. Based on von Neumann's lecture notes, this book 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. Series: Princeton Landmarks in Mathematics & Physics. Num Pages: 312 pages, black & white illustrations. BIC Classification: PBM; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 16. Weight in Grams: 428. . 1998. Paperback. . . . . Seller Inventory # V9780691058931
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