PDE Textbooks for Undergraduates

In summary, the best textbook for partial differential equations at an undergraduate level is Strauss, although it is a difficult read. Another good book is Boyce and Diprima, which is an ODE book with some PDE.
  • #1
Parmenides
37
0
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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  • #2
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
 
  • #4
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:
  • #5
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
 
  • #6
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.
 

1. What is a PDE textbook for undergraduates?

A PDE textbook for undergraduates is a textbook designed for undergraduate students studying partial differential equations (PDEs). It covers the fundamental concepts and techniques for solving PDEs, as well as their applications in various fields such as physics, engineering, and mathematics.

2. What topics are typically covered in a PDE textbook for undergraduates?

Topics covered in a PDE textbook for undergraduates may vary, but some common topics include classification of PDEs, separation of variables, Fourier series, Laplace transforms, numerical methods, and applications of PDEs in physics and engineering.

3. What level of mathematics is required to understand a PDE textbook for undergraduates?

A strong foundation in calculus, linear algebra, and ordinary differential equations is necessary for understanding a PDE textbook for undergraduates. Some knowledge of complex analysis and vector calculus may also be helpful.

4. Are there any resources or additional materials that can supplement a PDE textbook for undergraduates?

Yes, there are many online resources, such as lectures, tutorials, and practice problems, that can supplement a PDE textbook for undergraduates. Some textbooks also come with accompanying solution manuals or online resources for further practice and understanding.

5. Can a PDE textbook for undergraduates be used for self-study?

Yes, a PDE textbook for undergraduates can be used for self-study. However, it is recommended to have a strong foundation in the prerequisite mathematics and to seek help from a teacher or tutor if needed.

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