Good linear algebra book (for engineers)?

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SUMMARY

The discussion centers on recommendations for linear algebra books suitable for engineering students. Key suggestions include "Linear Algebra: A Modern Introduction" by Poole, praised for its intuitive and visual approach, making complex concepts accessible for visual learners. Other notable mentions are "Introduction to Linear Algebra" by Lang, which is more theoretical and less application-focused, and Axler's book, which is rigorous but may not cater to those seeking practical applications. The consensus highlights the importance of choosing a book that aligns with the learner's style, particularly for engineering majors.

PREREQUISITES
  • Understanding of basic linear algebra concepts such as vector spaces and eigenvalues.
  • Familiarity with different learning styles, particularly visual learning.
  • Knowledge of the differences between theoretical and applied mathematics.
  • Experience with mathematical proofs and computational problems.
NEXT STEPS
  • Research "Linear Algebra: A Modern Introduction" by Poole for visual learning techniques.
  • Explore "Introduction to Linear Algebra" by Lang for a theoretical perspective.
  • Investigate the differences between rigorous and applied approaches in linear algebra texts.
  • Look into reviews and comparisons of various linear algebra books on platforms like Amazon.
USEFUL FOR

Engineering students, educators in mathematics, and anyone seeking to understand linear algebra through practical applications and visual methods.

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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