PDE Introductory Text Suggestions?

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SUMMARY

This discussion focuses on recommended introductory texts for Partial Differential Equations (PDEs) for students preparing for a Methods of Mathematical Physics course. Key suggestions include Richard Haberman's "Applied Partial Differential Equations," Mark A. Pinsky's "Partial Differential Equations and Boundary Value Problems with Applications," and Fritz John's "Partial Differential Equations." Additionally, the Schaum's outline on Fourier Series and James Nearing's free Math Methods text are highlighted as valuable resources for beginners.

PREREQUISITES
  • Basic understanding of Ordinary Differential Equations, specifically using the Boyce and DiPrima textbook.
  • Familiarity with Fourier Series concepts.
  • Knowledge of boundary value problems.
  • Introductory exposure to Green's functions.
NEXT STEPS
  • Study Richard Haberman's "Applied Partial Differential Equations" for foundational concepts.
  • Explore Mark A. Pinsky's "Partial Differential Equations and Boundary Value Problems with Applications" for practical applications.
  • Review Fritz John's "Partial Differential Equations" for a comprehensive overview.
  • Access James Nearing's free Math Methods text for supplementary learning on PDEs.
USEFUL FOR

Students in mathematical physics, particularly those preparing for courses involving Partial Differential Equations, as well as educators seeking effective teaching resources.

sciboinkhobbes
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Hey everyone,

I'm a rising junior scheduled to take a Methods of Mathematical Physics class this coming fall. I've heard that this class utilizes a lot of partial differential equations, and I'd like to get a bit of a jumpstart and familiarize myself with some concepts before the semester starts... Are there any really good introductory texts out there for PDE's? My only background so far with any sort of differential equations comes from an Ordinary Differential Equations course I took this past semester (with the Boyce and DiPrima textbook). So any suggestions for helpful texts to ease me into learning PDE's would be great!

Thanks!
 
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PDE with Fourier and boundary value problems by Asmar
 
Haberman's book works great for me. It's easy to follow. In particular, I like the way he explains how to conver non-homogeneous BCs or PDEs to homogeneous ones. The introduction to Green's function is decent but maybe too simple to tackle real problems. Highly recommended for starters.
 
Haberman's text is OK, though it lacks rigor.
Partial Differential Equations by Fritz John is pretty good.
 

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