PDE Textbooks for Undergraduates

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SUMMARY

The forum discussion centers on recommendations for undergraduate textbooks on partial differential equations (PDEs). Key suggestions include "Elementary Differential Equations and Boundary Value Problems" by Boyce and DiPrima, which provides a solid introduction to both ordinary and partial differential equations, and "Partial Differential Equations" by Strauss, noted for its thoroughness but challenging writing style. Additionally, Farlow's book is recommended as a lighter alternative, while Peter Olver's online resources offer valuable supplementary material. The discussion emphasizes the importance of selecting a textbook that aligns with the reader's mathematical maturity and learning style.

PREREQUISITES
  • Understanding of ordinary differential equations (ODEs)
  • Familiarity with mathematical analysis concepts
  • Basic knowledge of linear algebra
  • Ability to navigate online academic resources
NEXT STEPS
  • Research "Partial Differential Equations" by Strauss for in-depth study
  • Explore "Elementary Differential Equations and Boundary Value Problems" by Boyce and DiPrima
  • Investigate Farlow's PDE book for a more accessible introduction
  • Visit Peter Olver's website for online PDE resources and materials
USEFUL FOR

Undergraduate students in mathematics and physics, educators seeking supplementary teaching materials, and anyone looking to deepen their understanding of partial differential equations.

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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