Good linear algebra book (for engineers)?

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Discussion Overview

The discussion revolves around recommendations for linear algebra books suitable for engineering students. Participants share their experiences and opinions on various texts, considering factors such as applicability, teaching style, and rigor.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant suggests that Axler's book may not be suitable for engineering majors, prompting a search for alternatives.
  • Another participant recommends a book focused on statistics that is deemed good for applied purposes, although its idiosyncratic topic order may not align with standard curricula.
  • A third participant advocates for Poole's "Linear Algebra: A Modern Introduction," highlighting its intuitive and visual approach, which they found beneficial for understanding concepts through geometric representations.
  • Some participants express concern that Poole's book may lack the rigor expected by pure mathematicians, while being well-received by students in applied fields.
  • Lang's "Introduction to Linear Algebra" is mentioned as a potential option, but it is noted that it may be more theoretical and less focused on applications, which could be a drawback for engineering students.
  • Participants discuss the balance between rigor and applicability, with some favoring more visual and conceptual approaches while others prioritize theoretical foundations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single recommended book, as multiple competing views on the suitability of different texts for engineering students remain evident.

Contextual Notes

Some participants note that certain books may not cover applications extensively or may present topics in a non-standard order, which could affect their utility in an engineering context.

thrill3rnit3
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Hello everyone. My friend was asking me for a good linear algebra book. He's an engineering major. I taught myself out of Axler, so I have no clue of a book that would serve his purpose.

Any suggestions? I did an Amazon search and a few names popped out: Strang, Bretscher (sp?), Anton...and they all seemed to have mixed reviews.
 
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https://www.amazon.com/dp/0387708723/?tag=pfamazon01-20

This book is geared toward statistics, but it seems to be pretty good for most applied purposes. The order in which topics are presented is a bit idiosyncratic, so it may not be a good choice for supplementing a class that uses a different book.
 
Poole - Linear Algebra: A Modern Introduction: https://www.amazon.com/dp/0534341748/?tag=pfamazon01-20

This book is intuitive, visual, and motivating; it also has a lot of applications. The methods used in this book are the only way I would get anything out of linear algebra. In my Diffy Q/LA class, the first day we started linear algebra we immediately started off talking about Rn so I just took the entire subject as one big abstraction. Out of pure frustration, I found this book at my library and I was blow away by the amount of geometric representations of literally every topic covered in my class. Basis, vector space, eigenstuff, determinants, linear independence, etc. Everything suddenly clicked because I am a visual learner.

Note: to a pure mathematician I'm sure they would scuff at a book like this but I really don't know why. If you look across the reviews of several editions some of these people come up and yell about "rigor" but the CS, engineering, physics majors all love this book. This book teaches the concepts in full form along with computational problems and it also has proofs. It's just not like Axler's style --> definition, theorem, proof constantly. If your friend is remotely visual/conceptual have them get this book and thank me later. If they live in an abstract, pure math snob world then go with a book like Axler. :wink:
 
Lang's Introduction to Linear Algebra might do, but:
It does not cover applications, and it is probably more theoretical than most engineering books.

Also, it deals with R^n mostly (or entirely), mainly n=2,3; but I don't know if this is a problem for engineers. Also, it only covers one term worth of material, so you may need another book, like his Linear Algebra (there's a used copy on amazon for $28.44).

I know the reputation of Lang's books, but this one is quite elementary, has some good illustrations, and the answers at the back. And a new paperback copy costs $23, which is not too bad. Well, at least you can trust Lang to be accurate, books that are too applied often tend to muddle the fundamentals, in my experience.
 

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