Good introduction to linear algebra?

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Discussion Overview

The discussion revolves around recommendations for introductory texts on linear algebra, focusing on the desire for engaging materials that present definitions with immediate relevance rather than in a traditional, definition-heavy format. Participants share various resources and personal experiences with different books.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses frustration with traditional linear algebra texts that emphasize definitions before explaining their significance, seeking recommendations for more engaging alternatives.
  • Another suggests that applied linear algebra texts might provide a more accessible introduction, though they caution that this approach may lack rigor.
  • A specific recommendation is made for Meyer’s "Matrix Analysis and Applied Linear Algebra," noted for being less boring than typical texts.
  • Participants mention "Linear Algebra Through Geometry" as a potential resource.
  • Schaum's outline is recommended for being affordable, though one participant finds it still boring.
  • Online resources, such as mathwonk's free notes, are suggested as alternatives for self-study.
  • One participant mentions their choice to self-study using Strang's "Linear Algebra and its Applications," inviting opinions on this text.
  • Another participant mentions having a copy of Strang's book, indicating interest in the discussion about it.
  • "Linear Algebra Done Right" is also proposed as a possible text for consideration.

Areas of Agreement / Disagreement

Participants present a variety of recommendations and personal preferences, indicating that there is no consensus on a single best text. Multiple competing views on the effectiveness and engagement level of different resources remain evident.

Contextual Notes

Some participants express dissatisfaction with the traditional structure of linear algebra texts, highlighting a preference for immediate application of concepts. There is also a noted variability in the perceived rigor of different approaches to learning linear algebra.

Who May Find This Useful

This discussion may be useful for students or self-learners seeking engaging introductory materials for linear algebra, particularly those who prefer resources that connect definitions to applications early in the learning process.

Werg22
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I have several books on linear algebra but they all bore me to death. What I find annoying is that they all focus on giving tons of definitions on the opening chapters only to elaborate on the relevance of those definitions later. What I am looking for is the opposite; a text that gives the meaning of the definitions right at the beginning. What do you suggest?
 
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You could always pick up a text on applied linear algebra. Not necessarly the best way to learn the topic (rigor wise, at least in my university); however, just to get familar with the topic it is a pretty good alternative to the texts you seem to be bumping into.

Unfortunantly, I don't have my university's applied linear algebra text, so I can't cite it for you, but hey you can probably find something better by searching amazon.
 
Look at Meyer, Matrix Analysis and Applied Linear Algebra. It is excellent, and less boring than most. (It still isn't going to make the Times Bestseller list or Oprah's book club, however...)
 
Linear Algebra Through Geometry perhaps.
 
Dr Transport said:
Schaum's outline is good and cheap.

I have it :-p Still boring... anyway thanks for all the answers. I have to say, Daverz, your suggestion is most interesting to me. I'll look into it.
 
You can check out mathwonk's free online notes for linear algebra.
 
I'm going to self-study linear algebra, and I recently decided to use Strang's Linear Algebra and its Application . How do you guys think about this one??
 
I have a copy of Strang's Linear Algebra
 

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