Noncommutative Geometry, Quantum Fields and Motives by Alain Connes, Matilde Marcolli - Free PDF
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About this book :-
The book explores some very advanced ideas that connect modern math and physics. It starts with noncommutative geometry, which is a way of studying spaces where the usual rules about how things multiply then, the book looks at quantum field theory, which is the physics that describes tiny particles and how they interact. The authors show how the strange math of noncommutative geometry can help us understand these particles better.
They also introduce the idea of motives, which are like hidden building blocks in math used to understand complex shapes and numbers, and surprisingly, these motives relate to physics too. One big problem in physics is dealing with infinite answers in calculations, and the book uses special math structures called Hopf algebras to explain how scientists solve this problem through a process called renormalization. Overall, this book is important because it brings together complicated ideas from different fields to help us better understand the universe at a very deep level. It’s best for graduate students and researchers who already know a lot about math and physics.
Book Detail :-
This book has following details information.
Title:
Noncommutative Geometry, Quantum Fields and Motives by Alain Connes, Matilde Marcolli - Free PDF
Publisher:
American Mathematical Society
Year:
2007
Pages:
808
Type:
PDF
Language:
English
ISBN-10 #:
1470450453
ISBN-13 #:
978-1470450458
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.
1. Quantum fields, noncommutative spaces, and motives
2. The Riemann zeta function and noncommutative geometry
3. Quantum statistical mechanics and Galois symmetries
4. Endomotives, thermodynamics, and the Weil explicit formula
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