Our purpose and main concern in writing this book is to illuminate classical concepts from the noncommutative viewpoint, to make the language and techniques of noncommutative geometry accessible and familiar to practi tioners of classical mathematics, and to benefit physicists interested in the uses of noncommutative spaces. Same may say that ours is a very "com mutative" way to deal with noncommutative matters; this charge we readily admit. Noncommutative geometry amounts to a program of unification of math ematics under the aegis of the quantum apparatus, i.e., the theory of ope rators and of C*-algebras. Largely the creation of a single person, Alain Connes, noncommutative geometry is just coming of age as the new century opens. The bible of the subject is, and will remain, Connes' Noncommuta tive Geometry (1994), itself the "3.8-fold expansion" of the French Geome trie non commutative ( 1990). Theseare extraordinary books, a "tapestry" of physics and mathematics, in the words of Vaughan jones, and the work of a "poet of modern science," according to Daniel Kastler, replete with subtle knowledge and insights apt to inspire several generations.
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Hardcover. Zustand: new. Hardcover. This volume covers a wide range of topics including sources of noncommutative geometry; fundamentals of noncommutative topology; K-theory and Morita equivalance; noncommutative integrodifferential calculus; noncommutative Riemannian spin manifolds; commutative geometrics; tori; proof of Connes' Riemannian spin theorem; second quantization; noncommutative quantum field theory; C*-algebras; Hopf algebras; Clifford algebras; Moyal algebras; pseudodifferential operators; the commutative Chern character theorem. This volume covers a wide range of topics including sources of noncommutative geometry; fundamentals of noncommutative topology; K-theory and Morita equivalance; noncommutative integrodifferential calculus; noncommutative Riemannian spin manifolds; and commutative geometrics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780817641245
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Our purpose and main concern in writing this book is to illuminate classical concepts from the noncommutative viewpoint, to make the language and techniques of noncommutative geometry accessible and familiar to practi tioners of classical mathematics, and to benefit physicists interested in the uses of noncommutative spaces. Same may say that ours is a very 'com mutative' way to deal with noncommutative matters; this charge we readily admit. Noncommutative geometry amounts to a program of unification of math ematics under the aegis of the quantum apparatus, i.e., the theory of ope rators and of C -algebras. Largely the creation of a single person, Alain Connes, noncommutative geometry is just coming of age as the new century opens. The bible of the subject is, and will remain, Connes' Noncommuta tive Geometry (1994), itself the '3.8-fold expansion' of the French Geome trie non commutative ( 1990). Theseare extraordinary books, a 'tapestry' of physics and mathematics, in the words of Vaughan jones, and the work of a 'poet of modern science,' according to Daniel Kastler, replete with subtle knowledge and insights apt to inspire several generations. 708 pp. Englisch. Bestandsnummer des Verkäufers 9780817641245
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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In collecting the material in a coherent form, the authors have performed a valuable service and this book will no doubt open noncommutative geometry to a wider audience. [A] large number of metaphorical and mathematical remarks embedded in the text. Bestandsnummer des Verkäufers 5975662
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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 708 | Sprache: Englisch | Produktart: Bücher | Our purpose and main concern in writing this book is to illuminate classical concepts from the noncommutative viewpoint, to make the language and techniques of noncommutative geometry accessible and familiar to practi tioners of classical mathematics, and to benefit physicists interested in the uses of noncommutative spaces. Same may say that ours is a very "com mutative" way to deal with noncommutative matters; this charge we readily admit. Noncommutative geometry amounts to a program of unification of math ematics under the aegis of the quantum apparatus, i.e., the theory of ope rators and of C*-algebras. Largely the creation of a single person, Alain Connes, noncommutative geometry is just coming of age as the new century opens. The bible of the subject is, and will remain, Connes' Noncommuta tive Geometry (1994), itself the "3.8-fold expansion" of the French Geome trie non commutative ( 1990). Theseare extraordinary books, a "tapestry" of physics and mathematics, in the words of Vaughan jones, and the work of a "poet of modern science," according to Daniel Kastler, replete with subtle knowledge and insights apt to inspire several generations. Bestandsnummer des Verkäufers 340342/2
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