Mastering DiffyQ and linear Algebra

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Discussion Overview

The discussion revolves around recommendations for books to master differential equations (DiffyQ) and linear algebra, with a focus on improving understanding in electromagnetism (E&M) and quantum mechanics (QM). Participants seek advice on resources that can aid in their studies.

Discussion Character

  • Homework-related, Debate/contested

Main Points Raised

  • One participant requests book recommendations to improve in DiffyQ and linear algebra for better understanding of E&M and QM.
  • Several participants suggest a specific book, providing a link to it, but the reasoning behind the recommendation varies.
  • One participant agrees with the book recommendation, noting it is clear and written by a solid functional analyst, but also mentions it may not cover all necessary mathematical concepts for E&M and QM.
  • Another participant proposes Jefferson's free book as a good alternative, highlighting its extensive problem sets and solutions manual, though they acknowledge it may not reach the depth of top-level linear algebra texts.
  • One participant emphasizes that while familiarity with linear algebra is necessary for understanding E&M and QM, it may not be sufficient on its own.

Areas of Agreement / Disagreement

Participants express differing opinions on the adequacy of the recommended books, with some agreeing on the value of the suggested texts while others propose alternatives and highlight limitations in the recommendations. No consensus is reached on a single best resource.

Contextual Notes

Participants note that the effectiveness of the recommended books may depend on the specific needs and background of the original poster (OP), and there is an acknowledgment of the need for additional resources beyond the suggested texts for a comprehensive understanding of the subjects.

Wolfxphysics12
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What are some books that I can use master DiffyQ and linear algebra ? I want to improve significantly in E&M and quantum mechanics. I understand that I have to practice, practice, and practice , but can you provided me with with some advice ? Thank you.
 
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Greg Bernhardt said:

I agree with this recommendation, provided the OP is looking for a treatment of the basics. It is written in a very clear style by, in fact, a solid functional analyst. However, I would say that by itself it does not provide all of the mathematical apparatus needed for a thorough treatment of E&M and QM. For this, more is needed.
 
Why not Jefferson's free book? It's really good, goes pretty far, too. Maybe not as far as the top level Linear Algebra books, but at least enough for what OP wants. It even has some application problems, well, a lot of problems in general, and the solutions manual is up there too.
 
Maybe it's good to point out that, at least in my opinion, for a good understanding of the formalism of E&M and (in particular) QM, familiarity with linear algebra is necessary but not sufficient.
 

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