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"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."--BOOK JACKET.
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Subjects
Algebraic Geometry, Geometry, Algebraic, Noncommutative rings, Geometry, Mathematics, Science/Mathematics, Physics, Geometry - Algebraic, Mathematics / Geometry / Algebraic, Mathematics / Geometry / Differential, Science-Physics, Rings (algebra), Quantum theory, Manifolds and Cell Complexes (incl. Diff.Topology), Differential Geometry, Global differential geometry, Cell aggregation, Applications of MathematicsShowing 5 featured editions. View all 5 editions?
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Elements of Noncommutative Geometry (Birkhäuser Advanced Texts / Basler Lehrbücher)
October 23, 2000, Birkhäuser Boston
Hardcover
in English
- 1 edition
0817641246 9780817641245
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Book Details
First Sentence
"The geometrical study of quadratic curves or surfaces, i.e., zero sets of second-degree polynomials, proceeds by examining points of intersection or tangent lines directly; but already for cubic curves it pays to examine first the ideal of all polynomials that vanish on the curve: in this way the study of an algebraic variety (the zero set of a given finite collection of polynomials) is replaced by the study of the corresponding polynomial ideal."
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- Created April 29, 2008
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July 31, 2019 | Edited by MARC Bot | associate edition with work OL12017266W |
August 6, 2010 | Edited by IdentifierBot | added LibraryThing ID |
April 24, 2010 | Edited by Open Library Bot | Fixed duplicate goodreads IDs. |
April 16, 2010 | Edited by bgimpertBot | Added goodreads ID. |
April 29, 2008 | Created by an anonymous user | Imported from amazon.com record |