Igor V. Nikolaev

Noncommutative Geometry (eBook, ePUB)

A Functorial Approach

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Walter de Gruyter
• Seitenzahl: 400
• Erscheinungstermin: 18. Juli 2022
• Englisch
• ISBN-13: 9783110788815
• Artikelnr.: 64174059

Autorenporträt

Igor V. Nikolaev, St. John¿s University, USA.

Rezensionen

"The book is a good survey of noncommutative geometry, and is an excellent starting point for doing good research in the field. Each section of the book ends with a list of references for going deeply into each subject, and so this book gives a framework for the field of noncommutative geometry."

Arvid Siqveland in: Zentralblatt für Mathematik 1388, 1-2

"In any case, it is true with a vengeance that NCG is a big and important subject, and the book we are looking at here, with its subtitle of "A functorial approach"? is doubtless a very valuable contribution on any number of counts, not the least of which being that the more functorial we get, the more generality we reap, and the clearer the overarching structure becomes. [...] In point of fact, the book under review is the first book on NCG to take a functorial approach as its Leitmotiv, and that is in itself a very solid contribution, pedagogically and mathematically."

Michael Berg in: MAA Reviews (27.07.2018), https://www.maa.org/press/maa-reviews/noncommutative-geometry-a-functorial-approach