Good texts for solving PDE's by integral transforms

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SUMMARY

The discussion centers on recommended texts for solving partial differential equations (PDEs) using integral transforms, specifically Fourier and Laplace transforms. Participants highlight "Transform Methods for Solving Partial Differential Equations" by Dean G. Duffy as an exceptional resource due to its clarity, thoroughness, and abundance of solved examples. Additional works by Duffy, including "Advanced Engineering Mathematics," "Solutions of Partial Differential Equations," "Green's Functions with Applications," and "Mixed Boundary Value Problems," are also noted as valuable for practitioners seeking practical methods over theoretical discussions.

PREREQUISITES
  • Understanding of partial differential equations (PDEs)
  • Familiarity with integral transforms, specifically Fourier and Laplace transforms
  • Basic knowledge of engineering mathematics
  • Ability to interpret solved mathematical problems
NEXT STEPS
  • Read "Transform Methods for Solving Partial Differential Equations" by Dean G. Duffy
  • Explore "Advanced Engineering Mathematics" by Dean G. Duffy for broader mathematical techniques
  • Study "Green's Functions with Applications" by Dean G. Duffy for advanced applications of integral transforms
  • Investigate practical examples in "Mixed Boundary Value Problems" by Dean G. Duffy
USEFUL FOR

This discussion is beneficial for physicists, engineers, and students who are focused on applying integral transform methods to solve partial differential equations in practical scenarios.

Maths Lover
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I look for good books on solving partial diffrential equations (PDE's) using integral transforms specially Fourier and laplace transforms.

Do you have any recommendations for such books? I don't look for a book concerned with the theory, rather, with the methods itself (a suitable book for a physicist not a mathematician). So , the more solved examples there are, the better it will be!
 
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My favorite is Transform Methods for Solving Partial Differential Equations by Dean G. Duffy
Lots of neat worked problems and references

Duffy wrote several related books
Advanced Engineering Mathematics by Dean G. Duffy
Solutions of Partial Differential Equations by Dean G. Duffy
Transform Methods for Solving Partial Differential Equations by Dean G. Duffy
Green's Functions with Applications by Dean G. Duffy
Mixed Boundary Value Problems by Dean G. Duffy
 

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