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Noncommutative Geometry is written by Igor V. Nikolaev and published by Walter de Gruyter GmbH & Co KG. It's available with International Standard Book Number or ISBN identification 3110788810 (ISBN 10) and 9783110788815 (ISBN 13).
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.