Good linear algebra book (for engineers)?

In summary, a friend's engineering major is looking for a good linear algebra book. The book recommended is Lang's Introduction to Linear Algebra and it is generally accepted as a good book. However, it does not cover applications and is more theoretical than most engineering books. Another book recommended is Axler's Linear Algebra, which is more abstract and covers more topics in one term.
  • #1
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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  • #2
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.
 
  • #3
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:
 
  • #4
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.
 
  • #5


I would recommend that your friend consider looking into "Linear Algebra: A Modern Introduction" by David Poole. This book is specifically geared towards students in engineering and covers the fundamental concepts of linear algebra in a clear and concise manner. It also includes numerous real-world examples and applications, making it a great resource for anyone studying engineering. Additionally, the book has received positive reviews from both students and instructors, making it a reliable choice for your friend's studies. I hope this helps!
 

1. What is the best linear algebra book for engineers?

The best linear algebra book for engineers is subjective and depends on individual learning styles. Some popular choices among engineers include "Linear Algebra: A Modern Introduction" by David Poole and "Introduction to Linear Algebra" by Gilbert Strang.

2. What are the key concepts covered in a good linear algebra book for engineers?

A good linear algebra book for engineers should cover concepts such as vector spaces, linear transformations, matrix operations, eigenvalues and eigenvectors, and applications to engineering problems.

3. Are there any online resources that complement a good linear algebra book for engineers?

Yes, there are many online resources available that can complement a good linear algebra book for engineers. Some popular options include Khan Academy, MIT OpenCourseWare, and YouTube channels such as 3Blue1Brown and Essence of Linear Algebra.

4. Can a good linear algebra book for engineers be used for self-study?

Yes, a good linear algebra book for engineers can be used for self-study. However, it is recommended to also seek guidance from a tutor or professor for a deeper understanding and to clarify any questions that may arise.

5. Are there any practice problems or exercises included in a good linear algebra book for engineers?

Most good linear algebra books for engineers include practice problems and exercises to reinforce the concepts learned. Some books also have online resources with additional practice problems and solutions.

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