An informal introduction to the ideas and concepts of noncommutative geometry by Thierry Masson - PDF
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About this book :-
This lecture notes give an overview of some of the mathematical results which motivated the development of what is called noncommutative geometry. The first of these results is the theorem by Gelfand and Neumark about commutative algebras, then come some aspects of the theories, first for topological spaces, then for algebras and finally the purely algebraic version. Cyclic homology is introduced, keeping in mind its relation to differential structures. The last result is the construction of the Chern character, which shows how these developments are related to each other.
This text helps mathematicians and physicists understand complex structures, especially in areas like quantum physics. It helps bridge the gap between abstract mathematics and practical physics. By making complex ideas more understandable, it contributes to our understanding of the mathematical structures underlying quantum physics and other advanced scientific theories.
Book Detail :-
This book has following details information.
Title:
An informal introduction to the ideas and concepts of noncommutative geometry by Thierry Masson - PDF
Publisher:
arXiv
Year:
2006
Pages:
56
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
N\A
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About Author :-
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Book Contents :-
This book has following table of contents.
1. Introduction
2. C-algebras for topologists
3. K-theory for beginners 11
4. Cyclic homology for (differential) geometers
5. The not-missing link: the Chern character
6. Conclusion
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