Recommend a textbook about differential equations

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Discussion Overview

The discussion centers around recommendations for textbooks on differential equations, aimed at individuals studying the subject independently. Participants share various titles and their perceived strengths, covering introductory to intermediate levels of complexity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant recommends "Elementary Differential Equations and Boundary Value Problems" by Boyce and DiPrima, highlighting its comprehensive coverage and availability of a solutions manual.
  • Another suggests the "Edwards and Penney DE book" for absolute beginners, noting its simplicity and also the presence of a solutions manual.
  • A different viewpoint emphasizes the "REA Problem Solvers - Differential Equations" for those focused on problem-solving, as it provides theoretical context followed by extensive practice problems.
  • Another participant recommends "An Introduction to the Theory of Differential Equations" by Walter Leighton for absolute beginners, citing its theoretical chapters and exercises with answers.
  • Additionally, "Differential Equations, linear, nonlinear, ordinary, partial" by King, Billingham, and Otto is mentioned for its real-world applications and advanced topics, although it lacks answer keys for exercises.

Areas of Agreement / Disagreement

Participants present a variety of textbook recommendations without a clear consensus on a single best option, indicating multiple competing views on suitable resources for studying differential equations.

Contextual Notes

Some recommendations depend on the reader's prior knowledge and specific goals in studying differential equations, which may influence the choice of textbook.

Who May Find This Useful

Individuals seeking self-study resources in differential equations, particularly those at beginner to intermediate levels, may find this discussion beneficial.

princeton118
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Can someone recommend a textbook about differential equations?
I am going to study it by myself, so I need a good textbook!
Thanks!
 
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Elementary Differential Equations and Boundary Value Problems , 8th Edition, by William E. Boyce (Author), Richard C. DiPrima (Author)

I had it for my intermediate DE class. I think it's a really good book that not only covers the absolute basics but covers some useful intermediate stuff. It's well written and there is a solutions manual available, which if you are studying this independently, is by far very useful. I liked it b/c it had a lot of useful examples in it, and some interesting applications.
https://www.amazon.com/dp/0471433381/?tag=pfamazon01-20

If you want an extremely introductory book, I used the Edwards and Penney DE book for baby-DE which also has a solutions manual available.
https://www.amazon.com/dp/0136006132/?tag=pfamazon01-20

I just thought that the Boyce book was better written and covered more material.
 
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What is your goal when doing DEs? If it's just being able to look at a DE and say "oh this fits this category therefore to solve it I need to use ..." then you should REA Problem Solvers - Differential Equations. It does pretty much just that. Each chapter addresses a certain form of a DE in theoretical terms (about 2-3 pages) and how to solve it (by doing 30 pages of problems with detailed solutions). They also have a little chapter about PDEs and other random topics. It's fairly cheap.
 
For absolute beginners I recommend

"An introduction to the theory of differential equations" by Walter Leighton, 1952, 174 pages, it contains short theoretical chapters and lots of examples and exercises with answers on the back.

Then I would continue with

"Differential Equations, linear, nonlinear, ordinary, partial" by A. King, J. Billingham, S. Otto, 2003, 541 pages with lots of examples from real world problems and exercises, no answers. It gives flavor even to more advanced topics like Lie symmetries of DE, phase portraits and chaos theory.
 
Thank you all above.
 

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