Comparing "Elementary Differential Equations" with Alternatives

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Boyce's "Elementary Differential Equations" is recognized as a classic text, particularly valued for its introduction to differential equations and applications, especially in physics. However, opinions vary on its suitability depending on the learner's goals. For those studying differential equations purely for theoretical knowledge, more rigorous texts like Fritz John's may be recommended. Conversely, if the focus is on applying differential equations to practical problems in physics or other fields, an applied differential equations text might be more beneficial. The discussion emphasizes the importance of aligning the choice of textbook with the intended application of the subject matter.
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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.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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