What are some good books for understanding linear algebra and its applications?

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Discussion Overview

The discussion revolves around recommendations for books that effectively teach linear algebra and its applications, particularly with a focus on geometric understanding and visual aids. Participants express preferences for books that are accessible to engineering students and provide practical applications, while also seeking affordable options.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant mentions their experience with "Elementary Differential Equations with Linear Algebra" by Rabenstein, noting its difficulty and their desire for a more intuitive, geometrically-focused linear algebra book.
  • Another participant suggests Strang's introductory book, describing him as an "engineer's mathematician," implying it may suit the needs of engineering students.
  • A different participant shares their positive experience with a book that includes many pictures, geometry, and application sections, emphasizing the value of "Explorations" within chapters that directly apply learned concepts.
  • Several participants inquire about the availability of answers to problems in the back of suggested books, indicating this as an important criterion for their selection.
  • One participant highlights a very inexpensive book priced at 13 cents, questioning its quality compared to a more expensive recommendation.
  • Another participant mentions Poole's book, which includes answers to all odd problems, suggesting it as a viable option for those seeking similar resources.
  • A participant requests recommendations for geometric or visual books on differential equations, indicating a continued interest in this type of resource.
  • Hefferon's linear algebra book is mentioned as a free resource, appealing to those looking for cost-effective options.

Areas of Agreement / Disagreement

Participants express a variety of preferences and criteria for book recommendations, with no clear consensus on a single best option. Multiple competing views on suitable books remain, reflecting differing needs and experiences.

Contextual Notes

Participants have varying levels of familiarity with the suggested books, and some recommendations depend on personal experiences with different editions. There is also a focus on affordability and the inclusion of problem solutions, which may limit the options discussed.

Who May Find This Useful

This discussion may be useful for engineering students or individuals seeking accessible resources for learning linear algebra and differential equations, particularly those who prefer visual and geometric approaches.

member 392791
Hello,

I just completed a math course that had a mixture of differential equations and linear algebra. The book used was Elementary Differential Equations with Linear Algebra by Rabenstein. Since the class covered both topics, of course we couldn't go into a lot of detail for either type of math as a single course on either subject.

https://www.amazon.com/dp/0155209841/?tag=pfamazon01-20

However, the book is very hard to understand. I already have in my possession Differential equations by Boyce and Diprima, and I was looking for something to read about linear algebra.

I am looking for books that show the geometry involved (pictures are great!), I liked Larson and Edwards Calculus
https://www.amazon.com/dp/0547167024/?tag=pfamazon01-20

Basically, I am an engineering student, I have no interest in deep mathematical inductive reasoning or proving theorems, I just want something that gives a good explanation of the geometry involved and gives some good pictures to show what the concepts mean, and if the book has application sections for the chapters, that would be fantastic.

I still have a very bad intuition for any of the concepts of DE/LA, it was very analytical and not geometric. The larson book had very good intuition and I enjoyed it a great deal, so something at that level would be fantastic. Another criteria is that the answers for atleast even or odd problems is shown in the back of the book, or has a solutions manual available to students.

Also, if you got something that meets the same criteria for DE, I would look at that too. And lastly, I would like something that is pretty cheap! Don't want to spend a lot on textbooks!

Again, please nothing like Spivak or anything that is heavily focused towards a math major!
 
Last edited by a moderator:
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how about strang's intro book. he's sort of an engineer's mathematician.
 
I went through a similar course (DE/LA) and found myself always asking more questions about LA but the course didn't go deep. After the semester I got this book:

https://www.amazon.com/dp/0534998453/?tag=pfamazon01-20

I love this book because it has lots of pictures, geometry, and applications. Also, it has little sections within the chapters, called "Explorations," which is direct applications of what you just learned. Unlike other books that says applications in the title but then has one application problem at the end of the chapter... like Strang's book.


P.S. - I have the 2nd edition (because it's cheap) so I can't compare it to the 3rd edition. On Amazon, the 3rd edition let's you preview almost the entire book. Check it out.
 
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Does that book have answers to the questions in the back?

I just found this one

https://www.amazon.com/gp/product/0201520311/?tag=pfamazon01-20

It's 13 cents, so it is hard to beat that price. Anyone know about it?

The book you suggested DrummingAtom looks exactly like something I want, just want to know if this 13 cent one is just as good, since the one you showed was $23
 
Last edited by a moderator:
Woopydalan said:
Does that book have answers to the questions in the back?

I just found this one

https://www.amazon.com/gp/product/0201520311/?tag=pfamazon01-20

It's 13 cents, so it is hard to beat that price. Anyone know about it?

The book you suggested DrummingAtom looks exactly like something I want, just want to know if this 13 cent one is just as good, since the one you showed was $23

I'm not familiar with Lay's. Poole's does have answers to all odd problems and the first edition is much less:

https://www.amazon.com/dp/0534341748/?tag=pfamazon01-20

If you find another book that fits your style, please post it on here because I'm always looking for good visual/geometric books. :cool:
 
Last edited by a moderator:
Thanks, do you know of another geometric/visual DE book?
 

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