Noncommutative Geometry by Alain Connes - Free PDF
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About this book :-
This math book that explores a new kind of geometry call "Noncommutative Geometry" where the usual rules don’t always apply. Normally, when we think about geometry, we imagine shapes and spaces described by functions that behave nicely meaning if you multiply two numbers or functions, the order doesn’t matter (like 2 × 3 = 3 × 2). But in noncommutative geometry, this order can change the result, which leads to a whole new way of thinking about space.
Connes studies spaces where this rule does not always work. He uses special math tools to describe these strange spaces. One important idea in the book is called a "spectral triple," which helps us understand the shape without using normal points or coordinates.
The book also shows how this new kind of geometry connects to other areas of math and physics, like the study of tiny particles and how the universe works at a very small level. The book is hard to read and meant for experts, but it is very important because it changes how people think about space and math.
Book Detail :-
This book has following details information.
Title:
Noncommutative Geometry by Alain Connes - Free PDF
Publisher:
Academic Press
Year:
1994
Pages:
654
Type:
PDF
Language:
English
ISBN-10 #:
012185860X
ISBN-13 #:
978-0121858605
License:
N\A
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About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
0. Introduction
1. Measure theory (Chapters I and V)
2. Topology and K-theory (Chapter II)
3. Cyclic cohomology (Chapter III)
4. The quantized calculus (Chapter IV)
5. The metric aspect of noncommutative geometry
1. Noncommutative Spaces and Measure Theory
2. Topology and K-Theory
3. Cyclic Cohomology and Differential Geometry
4. Quantized Calculus
5. Operator algebras
6. The metric aspect of noncommutative geometry
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