Noncommutative Geometry: A Functorial Approach - De Gruyter Studies in Mathematics 66 | Advanced Math Textbook for Researchers & Graduate Students | Perfect for Algebraic Geometry Studies & Theoretical Physics Research

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. This book covers the key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation is accessible to the graduate students as well as nonexperts in the field. The second edition includes two new chapters on arithmetic topology and quantum arithmetic.