| Elements of Noncommutative Geometry 2001 Edition Contributor(s): Gracia-Bondia, Jose M. (Author), Varilly, Joseph C. (Author), Figueroa, Hector (Author) |
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ISBN: 0817641246 ISBN-13: 9780817641245 Publisher: Birkhauser OUR PRICE: $132.99 Product Type: Hardcover - Other Formats Published: October 2000 Annotation: This unified introduction to the language and techniques of noncommutative geometry is rich in proofs, examples, exercises and solutions. The comprehensive presentation covers the core topics and key research results, and includes an excellent exposition of the introductory material. The main topics are covered repeatedly throughout the presentation at gradually more demanding levels of difficulty, and many important applications to diverse fields, including particle physics, and fundamental quantum theory, are introduced. |
| Additional Information |
| BISAC Categories: - Science | Physics - Quantum Theory |
| Dewey: 514.34 |
| LCCN: 00057955 |
| Series: Birkhäuser Advanced Texts Basler Lehrbücher |
| Physical Information: 1.44" H x 6.4" W x 9.46" (2.50 lbs) 686 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |