PDE Textbooks for Undergraduates

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Discussion Overview

The discussion centers around recommendations for undergraduate textbooks on partial differential equations (PDEs). Participants share their opinions on various texts, considering factors such as accessibility, mathematical maturity required, and personal preferences.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant requests recommendations for undergraduate PDE textbooks to supplement their course material.
  • Another participant suggests a specific textbook used at their school and mentions a more advanced Dover publication that may require greater mathematical maturity.
  • Boyce and DiPrima's book is mentioned positively by several participants, with one noting it as an introductory text to PDEs.
  • Another participant recommends Strauss's book for its thoroughness but cautions that its writing style may be difficult for some readers and suggests that a background in analysis could be beneficial.
  • Farlow's book is proposed as a lighter alternative for those seeking a more accessible text.
  • A participant expresses concern about the cost of Strauss's book and inquires about similar alternatives, noting their dual major in physics and math and willingness to engage with more complex material.

Areas of Agreement / Disagreement

Participants express varying opinions on the suitability and accessibility of different textbooks. While some recommend Strauss and Boyce & DiPrima, others highlight potential difficulties with Strauss's writing style and suggest alternatives, indicating that no consensus exists on a single best textbook.

Contextual Notes

Some participants mention the need for mathematical maturity or background knowledge in analysis to fully grasp certain recommended texts, indicating that the effectiveness of a textbook may depend on the reader's prior experience.

Parmenides
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Hello all,

I will be enrolled in an undergraduate course on partial differential equations. I was hoping a few of you might be able to recommend, in your opinions, the best textbook for the subject at an undergraduate level since I'd like to have a second source outside of my instructor's textbook. I'd appreciate it!
 
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Parmenides said:
Hello all,

I will be enrolled in an undergraduate course on partial differential equations. I was hoping a few of you might be able to recommend, in your opinions, the best textbook for the subject at an undergraduate level since I'd like to have a second source outside of my instructor's textbook. I'd appreciate it!

This is the book we use at our school:

https://www.amazon.com/dp/0470054565/?tag=pfamazon01-20 Here is a good one from dover: ( this one is a little more advanced, in the sense that more mathematical maturity is probably needed )

https://www.amazon.com/dp/0486414507/?tag=pfamazon01-20
 
Boyce and Diprima: ODE's, intro to PDE's. I liked it very much
Strauss: Linear PDE's, intro to nonlinear PDE's. Very thorough book.

For additional reading, check out Peter Olver's website:
http://www.math.umn.edu/~olver/
He has an online introduction to PDE's:

http://www.math.umn.edu/~olver/pdn.html
 
Last edited by a moderator:
The posts above mentioned Strauss. That is a good book but it is very difficult to grasp due to the authors writing style and, though it is not required, analysis would help a bit for that book.

A lighter PDE book is Farlow's.

https://www.amazon.com/dp/048667620X/?tag=pfamazon01-20
 
I'm in a similar situation. My prof. recommended Strauss, but I'm broke... I can't find it for less than $60 used. My prof. gives really good notes, but I may get Strauss's book for longevity.

Are there any other books similar to Strauss's? Boyce & Diprima seems to be an ODE book with maybe some PDE. If Strauss is the best (I'm a double major physics and math so I don't mind a lot of talk about sets and open balls), I'll save up for it.
 

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