Recommend good intro to PDEs book?

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Discussion Overview

The discussion centers around recommendations for introductory textbooks on partial differential equations (PDEs) suitable for physics students. Participants share their experiences with various texts and express preferences based on clarity, applicability, and ease of understanding.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant finds "Beginning Partial Differential Equations" by Peter V. O'Neil difficult to read and seeks better alternatives.
  • Another participant suggests Richard Haberman's book as a good option.
  • A different participant recommends "Differential Equations and the Calculus of Variations" by Lev Elsgolts and "Ecuaciones Diferenciales - Aplicado a la Física y Técnica" by Puig Adam, noting their effectiveness for first-order PDEs.
  • One participant mentions "Linear Partial Differential Equations and Fourier Theory" by Marcus Pivato, which is available online for free.
  • Another participant shares their own notes as a supplementary resource.
  • A suggestion is made to use Google Books for previews of various textbooks.
  • One participant inquires about "An Introduction to Ordinary Differential Equations" by Earl A. Coddington, asking for opinions on it.
  • Another participant expresses a preference for Haberman's book due to its clear language and application-oriented approach, while finding Strauss' book more challenging for self-study.

Areas of Agreement / Disagreement

Participants express differing opinions on the best introductory texts for PDEs, with no consensus reached on a single recommended book. Some participants favor Haberman's work, while others prefer Strauss or Elsgolts, indicating a variety of perspectives on clarity and applicability.

Contextual Notes

Participants mention the importance of accessibility and clarity in textbooks, particularly for self-study, but do not resolve which book is definitively better. The discussion reflects a range of experiences and preferences based on individual learning styles.

elemental09
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I'm taking a first course in PDEs this term (I'm a physics student) and we are using "Beginning Partial Differential Equations" by Peter V. O'Neil, which I find almost unreadable. Can anyone recommend a good book appropriate for an introductory PDE course? I have taken a standard ODE and standard multivariable calculus course previous. The focus of the course is fairly applied, i.e. there is an emphasis on finding solutions to first and second order linear and quasilinear equations, particularly those important in physics (wave equation, diffusion equation, etc.). There are few proofs and the question of well-posedness is given only a quick treatment.
Thanks.
 
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the book by richard haberman is supposed to be good.

i used strauss and thought it was pretty good but my professor was pretty good.
 
I think
Differential Equations and the Calculus of Variations by Lev Elsgolts
is great, and so is
Ecuaciones Diferenciales - Aplicado a la Física y Técnica by Puig Adam
(though it's in Spanish) :P
I specially recommend them for 1st order PDEs (linear, quasilinear, and nonlinear), these books were my mentors in the subject :P They are concise, precise, and contain examples that arise in physics.
 
Thanks for the replies. One problem is I want to look at textbooks before I buy them, but mostly they have to be bought online. Do you have any online textbook suggestions?
 
Last edited by a moderator:
My notes are not bad either lol:

http://bobbyness.net/NerdyStuff/notes.html

I'm still updating them btw.
 
Last edited by a moderator:
¿what do you think about this book?

An Introduction to Ordinary Differential Equations, by Earl. A Coddington

(¿can I put the link to Amazon?. There is the "look inside" option to see the topics)
 
Personally, I recommend Habberman's book as an undergraduate textbook on PDE. The english is plain and the subjects are very application oriented. The author simply takes his time to explain the details, which makes it a standalone piece of work. My favorite chapter is on Sturm-Liouville's theory.

My first exposure was Strauss' book, 1st edition. Personally, I find it alittle harder to chew since the discussion is terse and the text is frequently interrupted by equations/symbols. If the instructor uses it, that will be good. As a self-study material, it is hard.
 

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