Books that mix modern physics with algebra and geometry

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SUMMARY

The discussion focuses on resources for advanced undergraduate physics students seeking to explore the intersection of algebra, geometry, and modern physics. Key recommendations include "Quantum Theory of Fields, vol. 1" by Steven Weinberg for insights on the Poincaré group and gauge transformations, and "Geometry, Topology, and Physics" by Mikio Nakahara for a comprehensive mathematical framework. The discussion emphasizes the importance of understanding symmetry in physics through group theory and algebraic properties.

PREREQUISITES
  • Understanding of group theory and its applications in physics
  • Familiarity with quantum field theory (QFT)
  • Mathematical background in algebra and geometry
  • Knowledge of gauge transformations and their significance in modern physics
NEXT STEPS
  • Research "Quantum Theory of Fields" by Steven Weinberg for advanced QFT concepts
  • Study "Geometry, Topology, and Physics" by Mikio Nakahara for mathematical foundations
  • Explore the theory of groups and its application to symmetry in physics
  • Investigate gauge theories and their role in particle physics
USEFUL FOR

This discussion is beneficial for advanced undergraduate physics students, educators in theoretical physics, and anyone interested in the mathematical underpinnings of modern physics, particularly in the context of symmetry and group theory.

Laique94
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Hi
I'm an advanced undergraduate physics student and I'm currently searching books for my career project.
The topic I selected is titled: Algebra and geometry in modern physics.
So I'm currently looking for books that cover modern aspects of physics in a more mathematical approx.
In specific I'm looking for some mathematical books that discuss physics symmetry (theory of groups applied to symmetry, algebra properties of the Poincaré group or gauge transformations, and so on)
Everything that can be related is helpful.
Thanks
 
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