Books on Selberg Trace /Noncommutative geometry

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SUMMARY

This discussion focuses on finding introductory books on noncommutative geometry and the Selberg trace, specifically for individuals with a background in physics. The recommended book is "Chaos in Classical and Quantum Mechanics" by Martin C. Gutzwiller, which provides insights into the Selberg trace from a physics perspective. The user expresses a basic understanding of differential geometry, calculus, and quantum mechanics, indicating a need for accessible resources in these advanced topics.

PREREQUISITES
  • Basic understanding of differential geometry
  • Familiarity with real and complex calculus
  • Knowledge of quantum mechanics
  • Introduction to mathematical physics
NEXT STEPS
  • Research "noncommutative geometry" and its applications in physics
  • Explore additional literature on the Selberg trace
  • Investigate other works by Martin C. Gutzwiller
  • Study the relationship between chaos theory and quantum mechanics
USEFUL FOR

Physicists, mathematicians, and students seeking to deepen their understanding of noncommutative geometry and the Selberg trace, particularly those with a foundational knowledge of calculus and quantum mechanics.

mhill
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I am looking for a good book , for 'pedestrian (aka Dummies ) introduction to noncommutative geometry and another book about Selberg Trace.

I am a physicist, hence perhaps my math knowledge is not high i know

- a bit of differential geometry

- Calculus (real and complex)

- Quantum mechanics

- a bit of Mathematical Physics

if possible and someone can recommend me a book, thanks in advance,
 
Physics news on Phys.org
thank you very much..
 

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