Matches in Harvard for { <http://id.lib.harvard.edu/aleph/009015058/catalog> ?p ?o. }
Showing items 1 to 28 of
28
with 100 items per page.
- catalog abstract ""The subject of this text is an algebraic and operatorial reworking of geometry, which traces its roots to quantum physics; Connes has shown that noncommutative geometry keeps all essential features of the metric geometry of manifolds. Many singular spaces that emerge from advances in mathematics or are used by physicists to understand the natural world are thereby brought into the realm of geometry." "This book is an introduction to the language and techniques of noncommutative geometry at a level suitable for graduate students, and also provides sufficient detail to be useful to physicists and mathematicians wishing to enter this rapidly growing field. It may also serve as a reference text on several topics that are relevant to noncommutative geometry."--Jacket.".
- catalog contributor b12673156.
- catalog contributor b12673157.
- catalog contributor b12673158.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description ""The subject of this text is an algebraic and operatorial reworking of geometry, which traces its roots to quantum physics; Connes has shown that noncommutative geometry keeps all essential features of the metric geometry of manifolds. Many singular spaces that emerge from advances in mathematics or are used by physicists to understand the natural world are thereby brought into the realm of geometry." "This book is an introduction to the language and techniques of noncommutative geometry at a level suitable for graduate students, and also provides sufficient detail to be useful to physicists and mathematicians wishing to enter this rapidly growing field. It may also serve as a reference text on several topics that are relevant to noncommutative geometry."--Jacket.".
- catalog description "I. Topology. 1. Noncommutative Topology: Spaces. 2. Noncommutative Topology: Vector Bundles. 3. Some Aspects of K-theory. 4. Fredholm Operators on C-modules -- II. Calculus and Linear Algebra. 5. Finite-dimensional Clifford Algebras and Spinors. 6. The Spin Representation. 7. The Noncommutative Integral. 8. Noncommutative Differential Calculi -- III. Geometry. 9. Commutative Geometries. 10. Spectral Triples. 11. Connes' Spin Manifold Theorem -- IV. Trends. 12. Tori. 13. Quantum Theory. 14. Kreimer-Connes-Moscovici Algebras.".
- catalog description "Includes bibliographical references (p. [641]-666) and indexes.".
- catalog extent "xvi, 685 p. ;".
- catalog hasFormat "Elements of noncommutative geometry.".
- catalog identifier "0817641246 (alk. paper)".
- catalog identifier "3764341246 (alk. paper)".
- catalog isFormatOf "Elements of noncommutative geometry.".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "Boston : Birkhäuser,".
- catalog relation "Elements of noncommutative geometry.".
- catalog subject "516.3/5 21".
- catalog subject "Geometry, Algebraic.".
- catalog subject "Noncommutative rings.".
- catalog subject "QA564 .G625 2001".
- catalog tableOfContents "I. Topology. 1. Noncommutative Topology: Spaces. 2. Noncommutative Topology: Vector Bundles. 3. Some Aspects of K-theory. 4. Fredholm Operators on C-modules -- II. Calculus and Linear Algebra. 5. Finite-dimensional Clifford Algebras and Spinors. 6. The Spin Representation. 7. The Noncommutative Integral. 8. Noncommutative Differential Calculi -- III. Geometry. 9. Commutative Geometries. 10. Spectral Triples. 11. Connes' Spin Manifold Theorem -- IV. Trends. 12. Tori. 13. Quantum Theory. 14. Kreimer-Connes-Moscovici Algebras.".
- catalog title "Elements of noncommutative geometry / José M. Gracia-Bondía, Joseph C. Várilly, Héctor Figueroa.".
- catalog type "text".