TL;DR
This paper provides an accessible overview of noncommutative geometry, its foundational concepts, historical development, and applications across various mathematical disciplines, aimed at graduate students and non-experts.
Contribution
It offers a comprehensive, beginner-friendly survey of noncommutative geometry, including historical context, key topics, and references for further study.
Findings
Summarizes main areas of noncommutative geometry
Includes historical remarks and bibliography
Provides exercises for learning reinforcement
Abstract
The book covers basics of noncommutative geometry and its applications in topology, algebraic geometry and number theory. A brief survey of main parts of noncommutative geometry with historical remarks, bibliography and a list of exercises is attached. Our notes are intended for the graduate students and faculty with interests in noncommutative geometry; they can be read by non-experts in the field.
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