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Topics in Non-Commutative Geometry
Y. Manin
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Description for Topics in Non-Commutative Geometry
Paperback. Series: Princeton Legacy Library. Num Pages: 176 pages, black & white illustrations. BIC Classification: PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 256 x 180 x 10. Weight in Grams: 330.
There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on "noncommutative spaces." Manin begins by summarizing and giving examples of some of the ... Read more
There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on "noncommutative spaces." Manin begins by summarizing and giving examples of some of the ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
Princeton University Press
Condition
New
Series
Princeton Legacy Library
Number of Pages
174
Place of Publication
New Jersey, United States
ISBN
9780691607160
SKU
V9780691607160
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
Reviews for Topics in Non-Commutative Geometry
"[This reviewer] like[s] the book a lot. First, because of the excellent mathematics it contains. But second, because of the truly enlightening way this mathematics gets conveyed to the reader."
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society