Comparing "Elementary Differential Equations" with Alternatives

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SUMMARY

Boyce and DiPrima's "Elementary Differential Equations & Boundary Value Problems, 3rd Ed." is recognized as a classic text that effectively introduces differential equations (DE) and their applications, particularly in physics. While it may not be the most rigorous in terms of mathematical theory, it provides ample applied problems and a solid foundation for understanding DE. For those seeking a more theoretical approach, Fritz John's book is recommended as it caters specifically to mathematicians. The choice of text should align with the learner's goals, whether for practical application or theoretical understanding.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with differential equations terminology
  • Knowledge of physics applications related to differential equations
  • Ability to analyze mathematical proofs and theorems
NEXT STEPS
  • Explore Fritz John's "Partial Differential Equations" for a theoretical perspective
  • Research applied differential equation texts for practical applications in physics
  • Study the methods of solving ordinary differential equations (ODEs)
  • Investigate numerical methods for solving differential equations
USEFUL FOR

Students and professionals in mathematics, physics, and engineering who are looking to deepen their understanding of differential equations and their applications in real-world scenarios.

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Is Boyce's "Elementary Differential Equations" any good? If not, can one be recommended in lieu?
 
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What exactly are you planning on doing with the Diff. Eqs? Are you studying them just to study them, or do you plan on learning them to deal with problems in physics or other topics. Because if that is the case you might be better off with an applied Diff. Eq. Text. But that is just my opinion.
 
^_^physicist said:
What exactly are you planning on doing with the Diff. Eqs? Are you studying them just to study them, or do you plan on learning them to deal with problems in physics or other topics. Because if that is the case you might be better off with an applied Diff. Eq. Text. But that is just my opinion.

I wouldn't call B & D a fundamental book, there are plenty of applied problems in it and enough theory to give you an idea of how to generally attack DE's. It isn't full of theorem proof, lemma etc...If you want that check out Fritz John's book, written by a mathemtician for mathemeticians.
 
^_^physicist said:
What exactly are you planning on doing with the Diff. Eqs? Are you studying them just to study them, or do you plan on learning them to deal with problems in physics or other topics. Because if that is the case you might be better off with an applied Diff. Eq. Text. But that is just my opinion.

I'm learning them to deal with problems with physics and other topics, but I wouldn't mind learning about them for their own sake.
 
Boyce and DiPrima is somewhat of a classic. I have a copy of their "Elementary Differential Equations & Boundary Value Problems, 3rd Ed." from 1976. While not fundamental perhaps in the mathematical sense, it is fundamental in its introduction of DE and applications. My copy has a number of examples from physics problems.
 

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