Similar book to Kleppner's Quick Caculus for linear algebra

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SUMMARY

This discussion centers on finding a concise and effective resource for reviewing linear algebra, particularly for applications in quantum mechanics. Participants recommend several books, including Boas' "Mathematical Methods," which, while comprehensive, is noted for its strong linear algebra content. Additional suggestions include a free linear algebra resource from UC Davis and a short book praised for its insightful approach. The consensus emphasizes the need for a quick refresher that aligns with the foundational concepts necessary for understanding quantum mechanics.

PREREQUISITES
  • Basic understanding of linear algebra concepts such as vector spaces and linear transformations.
  • Familiarity with quantum mechanics principles and their mathematical foundations.
  • Experience with mathematical methods as applied in engineering contexts.
  • Knowledge of calculus, particularly as it relates to classical mechanics.
NEXT STEPS
  • Explore Boas' "Mathematical Methods" for a comprehensive review of linear algebra.
  • Access the free linear algebra resource available at UC Davis for a quick refresher.
  • Investigate the short book recommended for its unique insights into linear algebra concepts.
  • Consider taking the free linear algebra course offered by the author of the mentioned resources.
USEFUL FOR

This discussion is beneficial for students and professionals in engineering and physics, particularly those seeking to strengthen their linear algebra skills for applications in quantum mechanics. It is also valuable for educators looking for effective teaching resources in linear algebra.

almarpa
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So anyone of you know a book that provides a gentle and quick refresher for linear algera, in the spirit of the book "Quick Calculus" by Kleppner and Ramsey?

Now that I am studying quantum mechanics, I feel I need to review the linear algebra I studied during my engineering degree.

Thanks.
 
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Boas' book on mathematical methods. Sure, it covers a lot more than linear algebra, but what it covers of linear algebra is really well done.
 
micromass said:
Boas' book on mathematical methods. Sure, it covers a lot more than linear algebra, but what it covers of linear algebra is really well done.
That's probably the only chapter I would not read from that book though See here
almarpa said:
So anyone of you know a book that provides a gentle and quick refresher for linear algera, in the spirit of the book "Quick Calculus" by Kleppner and Ramsey?

Now that I am studying quantum mechanics, I feel I need to review the linear algebra I studied during my engineering degree.

Thanks.

Not sure about quick but the following are really good book to learn Linear Algebra from for application to QM.
1. https://www.amazon.com/gp/product/3319110799/?tag=pfamazon01-20
2. https://www.math.brown.edu/~treil/papers/LADW/LADW.html

Another short book on Linear Algebra that I really like is
https://www.amazon.com/dp/9814723770/?tag=pfamazon01-20

The book is available for free here
https://www.math.ucdavis.edu/~anne/linear_algebra/

And don't forget to check out this strange little book for Linear Algebra - although this should not be used as a main book , it has excellent insight that will make your concepts solid.
https://www.amazon.com/gp/product/B00HLW5V9U/?tag=pfamazon01-20

The author has a fantastic linear algebra course that you can take for free on your own time
https://www.lem.ma/web/#/books/VBS92YDYuscc5-lK/landing
 
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smodak said:
That's probably the only chapter I would not read from that book though See here

I do not agree with that post. Boas' chapter is fine.
 
micromass said:
I do not agree with that post. Boas' chapter is fine.

Indeed, and she does mention vector spaces.
 
That said, I do recommend the OP to study somewhat formally vector spaces, inner product spaces, linear transformations and dual spaces. But the OP wanted a quick and gentle refresher of engineering linear algebra, so that's what I tried to answer.
 
Well, I actually need a refresher of linear algebra that goes quickly and straight to the point, starting from the very basics, and reaching to the concepts required for quantum mechanics. That is why I mentioned, as an example, Kleppner's book on calculus (brief, very good on explanations, and focused on the calculus needed to follow a typical course on classical mechanics).

The authors of some of the mentioned books claim they should be second books on the subject. I do not want that.

Regards.
 
Again Boas is fine for that.
 
OK.

Is Boas' chapter on LA enough to be able to follow Griffiths' quantum mechanics book?

Regards.
 
  • #10
almarpa said:
OK.

Is Boas' chapter on LA enough to be able to follow Griffiths' quantum mechanics book?

Regards.

No, but she covers everything else in other chapters. First few sections of chapter six cover useful information found in a LA text, as do chapters 10, 12 and 15.
 
  • #11
almarpa said:
OK.

Is Boas' chapter on LA enough to be able to follow Griffiths' quantum mechanics book?

Regards.

You could go through Boas' chapter on LA and then start Griffiths. Whenever you're stuck in Griffiths, you can then refer back to Boas and read the relevant parts of where you're stuck.
 

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