Looking for a linear algebra book

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Discussion Overview

The discussion revolves around recommendations for linear algebra books to support understanding in a quantum mechanics course, particularly in relation to Sakurai's Modern Quantum Mechanics. Participants share various resources and their experiences with different texts, focusing on the applicability of linear algebra concepts in quantum mechanics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks recommendations for linear algebra books to enhance their understanding for a quantum mechanics course.
  • Another participant recommends Hassani's Mathematical Physics for its use of Dirac notation and Koks' Explorations in Mathematical Physics for its helpfulness.
  • A suggestion is made for Halmos' Finite Dimensional Vector Spaces as a more mathematical introduction to linear algebra.
  • Hefferon's linear algebra book is noted as a great resource, particularly because it is available for free online.
  • One participant mentions that Sakurai's first chapter contains intense linear algebra and questions the necessity of additional resources if the participant can follow it.
  • MIT OpenCourseWare lecture notes for quantum mechanics linear algebra are highlighted as helpful, especially when paired with "Linear Algebra Done Right."
  • Another participant recommends "Linear Algebra Done Wrong" by Sergei Treil, which is also available for free online, and praises Axler's "Linear Algebra Done Right."
  • Hoffman and Kunze's Linear Algebra is suggested as a thorough and challenging text.

Areas of Agreement / Disagreement

Participants share various recommendations without reaching a consensus on a single best resource. Multiple competing views on which books are most beneficial remain present.

Contextual Notes

Some recommendations depend on the participant's background and familiarity with linear algebra, and the effectiveness of each resource may vary based on individual learning preferences.

Who May Find This Useful

Students in quantum mechanics courses seeking to strengthen their linear algebra knowledge, as well as those interested in various approaches to learning linear algebra.

Jimmy000
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Hello all,
I am about a week into a quantum mechanics course in which the instructor is mostly going to follow along with Sakurai's Modern Quantum Mechanics. However, my linear algebra is pretty rusty and I have never taken an actual course in linear algebra, I have just learned what I have needed for different classes. Right now I am reviewing the formalism chapter of Griffiths Intro to QM, and working through Sakurai CH1. Can anyone recommend a good linear algebra book which will help me round out my linear algebra knowledge and put me on better footing for this course?
 
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I learned a great deal of linear algebra from reading Hassani's book, Mathematical Physics. He uses the Dirac notation consistently and that's nice. Another book that was really helpful is Don Koks' book, Explorations in Mathematical Physics, especially the first chapter. If you would like more of a mathematician's intro, Halmos' book, Finite Dimensional Vector Spaces, is a classic.
 
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Thanks!
 
Very cool, thanks!
 
chapter 1 in sakurai has pretty intense linear algebra, but if you're able to follow with it, then i doubt you would need another resource.

I found MIT ocw 8.05 lecture notes to be incredibly helpful for qm linear algebra, specially when coupled with libear algebra done right.
 
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Ahmad Kishki said:
chapter 1 in sakurai has pretty intense linear algebra, but if you're able to follow with it, then i doubt you would need another resource.

I found MIT ocw 8.05 lecture notes to be incredibly helpful for qm linear algebra, specially when coupled with libear algebra done right.

Here are the MIT lecture notes for LA:
http://ocw.mit.edu/courses/physics/...all-2013/lecture-notes/MIT8_05F13_Chap_03.pdf
 
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Hoffman/Kunze's Linear Algebra! The book is very thorough and challenging at the same time.
 
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Thank you all so much! I am now wading through these resources, which are helping to shed light on the why and background of what Sakurai is talking about in the first chapter.
 

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