Finding the Perfect PDEs Book for Math Majors

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SUMMARY

This discussion centers on recommendations for rigorous books on Partial Differential Equations (PDEs) suitable for math majors. Participants suggest "Partial Differential Equations" by Jeffery Cooper as an introductory text, noting its need for better examples and organization. A more advanced option is "Partial Differential Equations" by Lawrence Evans, which has received positive reviews and is expected to be more rigorous. The conversation highlights the importance of selecting appropriate texts based on the desired level of mathematical rigor.

PREREQUISITES
  • Understanding of standard calculus sequence
  • Knowledge of differential equations
  • Familiarity with mathematical rigor and structure
  • Ability to evaluate academic texts and reviews
NEXT STEPS
  • Research "Partial Differential Equations" by Jeffery Cooper for introductory insights
  • Explore "Partial Differential Equations" by Lawrence Evans for advanced concepts
  • Investigate reviews and comparisons of PDE textbooks
  • Study the application of PDEs in various mathematical fields
USEFUL FOR

Math majors, educators in mathematics, and students seeking rigorous resources for studying Partial Differential Equations.

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Can anyone recommend me a good book on PDEs? I'm looking for something more rigorous, for math majors, and being moderately priced is a plus too.
 
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Doesn't anyone use the search function anymore? this thread is ten days old.
 
I'm not for sure of your math level, but the book I used in my introductory class to PDEs was
https://www.amazon.com/dp/0817639675/?tag=pfamazon01-20 by Jeffery Cooper
All you need before this book is the standard calculus sequence plus differential equations. It wasn't a bad book, but it wasn't great either. You can definitely learn from it. It needs better and more examples, more organization, and a new edition as it is sloppy in places.

The book we'll be using next year is
https://www.amazon.com/dp/0821807722/?tag=pfamazon01-20 by Lawrence Evans
I haven't gotten it yet or looked through it, but the Amazon reviews are very positive. It is more advanced than the above book and probably much more rigorous.
Landau said:
Doesn't anyone use the search function anymore? this thread is ten days old.

Well that thread was asking for a more applied book, whereas the poster here is asking for a more rigorous book.
 
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