Yet another book recommendation request

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SUMMARY

This discussion centers on book recommendations for partial differential equations (PDEs) and complex analysis. Scott seeks advice on Dover publications and mentions his current texts: "An Introduction to Partial Differential Equations" by Matthew P. Coleman and "Fundamentals of Complex Analysis" by E. B. Saff and A. D. Snider. Recommendations provided include "PDEs" by W. Strauss for its approachable introduction and "Schaum's Outline" by M. Spiegel for complex variables. Scott expresses a preference for PDE resources that utilize complex variables rather than a purely trigonometric approach.

PREREQUISITES
  • Understanding of partial differential equations (PDEs)
  • Familiarity with complex analysis concepts
  • Basic knowledge of mathematical textbooks and their editions
  • Experience with mathematical problem-solving techniques
NEXT STEPS
  • Research "PDEs" by W. Strauss for a comprehensive introduction
  • Explore "Schaum's Outline" by M. Spiegel for complex variables
  • Investigate Dover publications related to PDEs and complex analysis
  • Learn about the applications of complex variables in PDEs
USEFUL FOR

Students and educators in mathematics, particularly those focusing on partial differential equations and complex analysis, as well as anyone seeking affordable yet quality mathematical literature.

Spectre5
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Hey,

I am looking for some recommendations on books covering partial differential equations and another one on complex analysis. I don't have a lot of extra money, so I am kind of hoping that someone has experience with some of the Dover books, and could possible recommend any of them? I have looked at many of them on amazon.com, but I simply have no idea which ones are "better" or "worse".


I am very interesting in both the theory and applications of partial differential equations and complex analysis.


Currently, I do have:
An Introduction to Partial Differential Equations by Matthew P Coleman
and
Fundamentals of Complex Analysis by E. B. Saff and A. D. Snider

(these are the books I have from my courses in them)


Thanks for any recommendations!

-Scott

PS:
The book I have on Partial Differential Equations is a first edition book and I have found many mistakes throughout the book (mistakes within the book as well as incorrect answers to selected problems).
 
Last edited:
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No suggestions?
 
OK, here goes:

PDE's It's not cheap, but I really like it:, by W. Strauss. I took a course from it, and it is about as friendly an introduction as possible, considering the subject.

Complex Variables I recommend the Schaum's Outline , by M. Spiegel.
 
Last edited by a moderator:
Thank you for the suggestions. I will look into those. In that pde book, does it teach pde's from the complex perspective or trigonometric?

i.e. My pde book now avoids as many uses of complex variables as possible and converts everything to sin/cos and sinh/cosh instead of complex exponentials. I would like to get a pde book that teaches the complex approach to pde's.

Which method does that book use?

thanks

-Scott
 
Spectre5 said:
Which method does that book use?

It focuses on the trigonometric perspective.
 

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