Comparing "Elementary Differential Equations" with Alternatives

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Discussion Overview

The discussion revolves around the evaluation of Boyce's "Elementary Differential Equations" and its suitability compared to other texts. Participants explore the context in which differential equations are being studied, whether for theoretical understanding or practical application in fields like physics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants express that Boyce's text is a classic and recommend it for its introduction to differential equations and applications, despite not being fundamentally rigorous in a mathematical sense.
  • Others suggest that the choice of text should depend on the intended use of differential equations, proposing that an applied differential equations text may be more beneficial for practical problem-solving in physics.
  • One participant mentions that Boyce and DiPrima includes numerous examples from physics, indicating its relevance for those studying applications.
  • There is a suggestion that for a more rigorous mathematical approach, Fritz John's book could be a better alternative, as it is aimed at mathematicians.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the superiority of Boyce's text over alternatives. Multiple competing views exist regarding the appropriateness of different texts based on the goals of studying differential equations.

Contextual Notes

Some limitations include the lack of clarity on specific applications or problems participants are interested in, as well as the varying definitions of what constitutes a "fundamental" text in the context of differential equations.

Who May Find This Useful

Readers interested in differential equations, particularly those considering different textbooks for theoretical versus applied study, may find this discussion relevant.

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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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