Full course of Vector Analysis vs Griffith Text self study?

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Discussion Overview

The discussion centers on the necessity of a full course in vector analysis compared to self-studying from Griffith's Electrodynamics. Participants explore the relevance of topics such as Stokes' theorem, Green's theorem, and differential forms in the context of preparing for upper-level physics courses.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant questions whether a full course in vector analysis is necessary, suggesting that Griffith's Electrodynamics provides sufficient coverage of the material needed.
  • Another participant points out that if the original poster's Calculus III course covered key concepts like partial derivatives and vector operations, they may be adequately prepared with Griffith's material serving as a review.
  • Contrarily, a participant argues that Griffith's text lacks rigor compared to others like Jackson, implying that reliance on it may indicate insufficient preparation for advanced studies.
  • Some participants express strong disagreement with the notion that Griffith's is inadequate, asserting it is a deep and excellent resource, and that the calculus sequence taken should suffice for understanding vector calculus.
  • There is a recognition that the appropriateness of Griffith's depends on the specific goals of the original poster, whether preparing for Griffith's E&M or for graduate-level mathematics.

Areas of Agreement / Disagreement

Participants express conflicting views on the adequacy of Griffith's Electrodynamics as a standalone resource for vector analysis. Some believe it is sufficient, while others argue for the necessity of a more rigorous course. The discussion remains unresolved regarding the best approach to preparation.

Contextual Notes

Participants highlight varying definitions of what constitutes adequate preparation, as well as differing opinions on the rigor of Griffith's text compared to others like Jackson. The discussion reflects a range of experiences and expectations regarding mathematical readiness for advanced physics courses.

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Senior in Fall. Is a full course on vector analysis necessary: Stockes theorem, Green Theorem, differential forms, etc.
I feel like Griffith's Electrodynamics gives a sufficient overview of Vector analysis in Chapter 1 covering all you need. I've only taken the required Calc 1 - 3 sequence + odes and find I learn most of my math "on the spot" otherwise it goes out the door but many encourage me to take as much math as possible. I rather focus on my upper levels this semester: Atomic Physics and Thermal but I'd like your take on it.

Thank you
 
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Didn't your Calculus III course cover partial derivatives, div, grad, curl, and surface, volume and line integrals? If it did, then you should be fine with Griffiths. The material in chapter 1 (or is it 2?) is intended as a review.
 
If you are gauging whether you are prepared or not based upon Griffith's Electrodynamics, I suspect NOT. While Griffith's is an okay book, it is not rigorous or deep. In fact, it is considered a fluff book in comparison to many others, especially Jackson. Look over a copy of Jackson's and try to do a few of the easier problems. If you succeed, I am probably wrong in your case, and you are adequately prepared to blow off any further study.
 
CalcNerd said:
If you are gauging whether you are prepared or not

...which of course depends on what he's trying to prepare for. Based on a hasty reading, I assumed he was trying to prepare for Griffiths E&M. If he's looking to prepare mathematically for grad school, that's another matter!
 
CalcNerd said:
If you are gauging whether you are prepared or not based upon Griffith's Electrodynamics, I suspect NOT. While Griffith's is an okay book, it is not rigorous or deep. In fact, it is considered a fluff book in comparison to many others, especially Jackson. Look over a copy of Jackson's and try to do a few of the easier problems. If you succeed, I am probably wrong in your case, and you are adequately prepared to blow off any further study.

This is stupendously terrible advice. OP please don't heed this. Griffiths is an excellent and deep text. Anyone who considers Jackson deep has clearly never done Jackson.

The calculus sequence you have taken should be enough. Vector calculus is an easy enough subject that the review in chapter 1 will suffice if you've already finished the calculus sequence.
 
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WannabeNewton said:
This is stupendously terrible advice. OP please don't heed this. Griffiths is an excellent and deep text. Anyone who considers Jackson deep has clearly never done Jackson.

Jackson, making you question your entire path in life in one course.
 
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Mea culpa. I certainly came out harsh with my advice. If I he is preparing for Griffith's E&M as jtbell surmises, he is prepared.
 

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