Complex Analysis for Integrals in Physics

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SUMMARY

The discussion centers on the application of complex analysis in computing integrals relevant to physics, particularly for students studying quantum field theory. The user seeks practical textbooks that focus on the computational aspects rather than the theoretical underpinnings. Recommended texts include "Fundamentals of Complex Analysis" by Saff and Snyder, as well as classic references like "Mathematical Methods for Physicists" by Boas and "Mathematical Methods for Physicists" by Arfken. These resources are noted for their applicability to physics students.

PREREQUISITES
  • Understanding of basic complex analysis concepts
  • Familiarity with integral calculus
  • Knowledge of quantum field theory fundamentals
  • Experience with mathematical methods in physics
NEXT STEPS
  • Research "Fundamentals of Complex Analysis" by Saff and Snyder for practical applications
  • Explore "Mathematical Methods for Physicists" by Boas for comprehensive coverage
  • Investigate "Mathematical Methods for Physicists" by Arfken for advanced techniques
  • Study the role of complex analysis in quantum field theory
USEFUL FOR

Physics students, particularly those studying quantum field theory, and anyone seeking practical applications of complex analysis in integrals.

go quantum!
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Hello!
I know that the theory of complex analysis is useful to compute integrals of real valued functions. I am a Physics student and I followed a Complex Analysis course but we did not have time to cover this up.

I am looking for a textbook that takes a practical approach to this subject. I am more concerned about knowing how to do the integral, then to understand why the rules to do the computations work. In few words, I am looking for textbook with a physicist's approach to complex analysis.

Thanks.

PS- I could reformulate this post and just claim that I am looking for a book that explains the complex analysis that is necessary to study quantum field theory.
 
Last edited:
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Almost any book on mathematical methods in physics will have a chapter or two devoted to this. The first three that came up on Amazon were Mathews & Walker, Boas and Arfken, all of them old and reliable. Plus many more.
 
We used Fundamentals of Complex Analysis by Saff and Snyder in our Complex Analysis course. It's aimed at physics students and others interested in applications. I found it quite good.
 

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