Which Introductory PDE Book Best Suits a Physics Major?

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SUMMARY

The forum discussion centers on recommended introductory books for Partial Differential Equations (PDEs) tailored for physics majors. Key suggestions include "Partial Differential Equations in Physics" by Arnold Sommerfeld, noted for its application-focused content and problem-solving exercises. Other recommended texts are "Introduction to Partial Differential Equations" by Yehuda Pinchover and Jacob Rubinstein, and Haberman's book, which is also application-oriented. The discussion emphasizes the importance of supplementary materials for beginners, particularly those unfamiliar with Fourier series.

PREREQUISITES
  • Understanding of basic calculus and differential equations
  • Familiarity with Fourier series and transforms
  • Knowledge of physics concepts related to wave equations and quantum mechanics
  • Experience with problem-solving in mathematical contexts
NEXT STEPS
  • Research "Partial Differential Equations in Physics" by Arnold Sommerfeld for application-based learning
  • Explore "Introduction to Partial Differential Equations" by Yehuda Pinchover and Jacob Rubinstein for beginner-friendly content
  • Investigate Haberman's PDE book for its applications focus
  • Look into supplementary materials that cover Fourier series comprehensively
USEFUL FOR

Physics majors, mathematics students, educators, and anyone seeking to understand the application of PDEs in physical contexts will benefit from this discussion.

physicist311
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Does anybody know a good introductory book on PDEs? I am a physics major and something applied is what I'm looking for. It must have a good amount on Fourier methods too. Thanks.
 
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This is actually quite an old book, but I love it: "Partial Differential Equations in Physics" by Arnold Sommerfeld. Emphasis on applications (a whole chapter devoted to applications to 'problems of radio'), written by a physicist for physicists, and has exercises with solutions.
 
Hey dx, first let me say thanks for posting. It is sometimes hard to get people to reply and I appreciate it. Onto the book, I looked over the table of contents at amazon and it looks good by first inspection. Also, the solutions to problems is a huge factor in my decision whether or not to buy the book. Can you tell me anything else like: ingenuity of the problems, scope of the book, amount of rigor, friendly writing style, etc...? Thanks again.
 
Hi physicist311,

The exercises are usually non-trivial, but the good thing is you won't get frustrated since there are hints and solutions. If you want to use this book, I suggest that you also get an easier supplementary book which has a lot of easy practice problems just to get familiar with concepts, especially if you haven't seen stuff like Fourier series before. The amount of rigor is just right for physicists.
 
  • #11
malawi_glenn said:
It is modern and nice, but really expensive though..

Yeah, but does one really need the 4th edition? The 2nd edition is cheap. After that the publisher is just trying to force students to buy new.
 
  • #12
Daverz said:
Yeah, but does one really need the 4th edition? The 2nd edition is cheap. After that the publisher is just trying to force students to buy new.

I have the second edition and I don't think it covers spherical problems as good as needed for quantum mechanics, I had to do some photocopies from the 4th ed for supplementation
 

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