What's a good book for Green's functions?

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SUMMARY

The discussion centers on recommendations for books on Green's functions, particularly in the context of partial differential equations. The user is currently using Asmar's textbook but seeks a more comprehensive understanding of the topic. G.F. Roach's book is highlighted as a cost-effective option that provides deeper insights into Green's functions, also known as impulse response functions in engineering, which are crucial for linear systems analysis.

PREREQUISITES
  • Understanding of partial differential equations
  • Familiarity with linear systems theory
  • Basic knowledge of Green's functions and their applications
  • Experience with mathematical analysis techniques
NEXT STEPS
  • Research G.F. Roach's book on Green's functions for a deeper theoretical understanding
  • Explore additional resources on impulse response functions in engineering contexts
  • Study advanced applications of Green's functions in solving differential equations
  • Investigate online courses or lectures focusing on Green's functions and their practical uses
USEFUL FOR

Students and professionals in mathematics, physics, and engineering who are looking to enhance their understanding of Green's functions and their applications in linear systems and differential equations.

DavitosanX
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Hello! I'm currently taking a course on partial differential equations, and we're using Asmar's textbook. We've reached Green's functions, and even though Asmar is a great book, I feel like I need a deeper study of the subject. Which book would you recommend to help me better grasp the theory behind Green's functions?
 
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The Green's function is called the impulse response function in engineering, a name which is more descriptive of the idea behind it. It is especially useful in linear systems.
 
Thanks for the link. G.F. Roach's book seems like the way to go. It's not expensive, which is always a good thing.
 

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