Ebook: Noncommutative Geometry: A Functorial Approach

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.

• An authoritative introductory treatment of noncommutative geometry now in its second edition.
• A novel approach using functors is presented in detail.
• Covers applications of the theory in topology, algebraic geometry, and number theory.