Which Introductory Linear Algebra Book Is Best for Aspiring Engineers?

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Discussion Overview

The discussion revolves around recommendations for introductory linear algebra books suitable for aspiring engineers. Participants share their preferences and insights on various texts, considering both application-focused and theoretical approaches.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks a linear algebra book with a focus on applications relevant to engineering, expressing a lack of knowledge in matrices and determinants.
  • Another suggests searching for resources online, mentioning specific titles like "Linear Algebra Done Right" and "Linear Algebra Done Wrong," indicating a preference for more theoretical texts.
  • Elementary Linear Algebra by Anton is recommended by multiple participants for its clear presentation of basic material and applications, with one noting its affordability in older editions.
  • A participant emphasizes the importance of understanding elementary matrix algebra and determinants before starting an engineering curriculum, suggesting that high-school level resources may suffice.
  • Concerns are raised about the suitability of "Linear Algebra Done Right" for beginners, with one participant arguing it is too advanced for someone without prior knowledge of matrices.
  • Linear Algebra Done Wrong is mentioned as potentially more accessible than "Linear Algebra Done Right," but still challenging, particularly for self-learners.

Areas of Agreement / Disagreement

Participants express differing opinions on the best resources for learning linear algebra, with no clear consensus on a single recommended text. Some advocate for more application-oriented books, while others suggest theoretical texts may be beneficial despite their complexity.

Contextual Notes

Participants highlight varying levels of preparedness and background knowledge, indicating that recommendations may depend on individual learning styles and prior exposure to mathematical concepts.

user10921
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Hello I am looking for an introductory linear algebra book. I attend university next year so I want to prepare and I want to become an engineer. I have a good background in the prerequisites, except I don't know anything about matrices or determinants. I am looking for the more application side, cause engineer.

Thanks in advance
 
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Elementary Linear Algebra by Anton.
 
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Schaum's Outline of Linear Algebra
(Part of the https://www.thriftbooks.com/series/schaums-outline/71382/)
by https://www.thriftbooks.com/a/seymour-lipschutz/246729/ and https://www.thriftbooks.com/a/marc-lipson/246730/
 
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I found that my freshman engineering curriculum assumed I already knew elementary matrix algebra and determinants (high-school level), so I think the OP is wise to try and learn the basic material before starting. Learning from a high-school book is probably sufficient, but an elementary linear algebra book should be a reasonable resource and will also have a lot of extra material that will eventually be needed.

I really like Anton's Elementary Linear Algebra recommended by Mondayman. Used copies of old editions are cheap, for example
https://www.amazon.com/dp/B010WIWLI8/?tag=pfamazon01-20
which has a section at the end on applications. The basic material on systems of equations and determinants is clearly presented in the first 100 pages, but it also includes nice introductions to abstract vector spaces, linear transformations and inner-product spaces if the OP has time and motivation to learn them. Other basic linear algebra books are probably fine, too, but I know Anton is good and gets to the basic material early-on.

BvU said:
But there is a lot to be said to drop the engineer and look at linear algebra done right (was free download for a while) or at linear algebra done wrong :smile:
I have spent many hours working through Linear Algebra Done Right, and while it is a great book I believe it is a poor choice for a pre-college student (perhaps still in high school?) who doesn't know anything about matrices or determinants to learn the subject all on their own. At least in the US, it is usually used as a text for a second course on the subject. And for good reason - even with a professor's help it is too difficult for most students to learn the material from the first time. I worked through it after taking a course that was a the level of Anton and found it to be a healthy challenge.

Linear Algebra Done Wrong looks more suitable. It at least it is written as a true first introduction to the subject, but it is certainly more difficult than something like Anton. After all, it is written for an honors-level introductory course at Brown. If the OP is particularly interested and/or gifted in rigorous math then it may be a good choice. Otherwise, I would recommend something easier for self-learning the material for the first time.

jason
 
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Thank you all!
 
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