Need recommendation on a good Partial differential Equation textbook.

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Discussion Overview

The discussion revolves around recommendations for textbooks on Partial Differential Equations (PDEs) and Boundary Value Problems. Participants share their experiences with various texts, focusing on their presentation styles and suitability for self-study.

Discussion Character

  • Debate/contested
  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant lists several textbooks they currently own, expressing a preference for Nakhle Asmar's and Dennis G. Zill's books due to their presentation styles.
  • Another participant recommends "Partial Differential Equations" by Farlow, noting its application-oriented approach while still covering good mathematics.
  • Two participants mention the books by Lawrence C. Evans and Fritz John, but one later critiques Evans' book for being unhelpful for self-study due to its lack of detailed explanations and non-standard notation.
  • A participant expresses a desire for a textbook that provides detailed derivations of formulas rather than just presenting them, emphasizing the importance of understanding the process behind the formulas.

Areas of Agreement / Disagreement

There is no consensus on which textbook is the best for self-study, as participants have differing opinions on the suitability of specific books, particularly regarding Evans' text.

Contextual Notes

Participants have varying needs for detail and presentation style in textbooks, which may affect their recommendations. Some books are noted for their application focus, while others are critiqued for their lack of clarity in explanations.

Who May Find This Useful

Readers interested in self-study of Partial Differential Equations and Boundary Value Problems, particularly those seeking detailed derivations and varied presentation styles in textbooks.

yungman
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I want to buy another Partial differential equation and Boundary value problems textbook.

The ones I have are:

1) Partial Differential Equation, An Introduction by Walter A. Strauss.
2) Partial differential equation and Boundary value problems by Nakhle Asmar.
3) Differential Equation with Boundary Value Problems by Dennis G. Zill and Michael R. Cullen.
4) Boundary value problems and Partial differential equations by David L. Powers.
5) Elementary Differential Equation and Boundary Value Problems by William E. Boyce and Richard C. Diprima.

Each book really have different presentation. Since I study on my own, I have to look at different point of views. I like 2) and 3) the best. The others are not very good.

Thanks

Alan
 
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One I found to be a good introduction is Partial Differential Equations by Farlow. It is a book more oriented to applications than the mathematics, but still contains good mathematics. It is nicely divided up into small lessons.
 
The book by Lawrence C. Evans and the one by Fritz John.
 
quasar987 said:
The book by Lawrence C. Evans and the one by Fritz John.

I do not recommend the book by Evans, especially as an introduction. It's the supplementary book in a course I'm in right now, and it is of little help. There is practically no discussion, he leaves it to the reader to fill in way too many details so that there is little gained in using the book for self-study, and his notation is non-standard.
 
Last edited:
Thanks guys
I am looking for one with detail on the how they arrive with formulas. A lot of book only give you the formulas. It is easy to plug numbers into the formulas but you don't learn much. I like to see how people arrive with the formulas. I really don't need books to explain the concept, just need the step by step how they get the formulas.

thanks
Alan
 

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