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

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SUMMARY

The forum discussion focuses on recommendations for books that effectively teach linear algebra and differential equations with an emphasis on geometric understanding and visual aids. Key suggestions include "Elementary Differential Equations with Linear Algebra" by Rabenstein, which the user found challenging, and "Linear Algebra and Its Applications" by Strang, noted for its application sections. The user also expresses interest in affordable options, highlighting books like "Linear Algebra" by Lay and "Differential Equations" by Boyce and DiPrima. The community emphasizes the importance of books that provide solutions to problems and visual representations of concepts.

PREREQUISITES
  • Basic understanding of linear algebra concepts
  • Familiarity with differential equations
  • Ability to interpret geometric representations in mathematics
  • Access to educational resources such as textbooks and online materials
NEXT STEPS
  • Research "Linear Algebra and Its Applications" by Gilbert Strang for application-focused learning.
  • Explore "Linear Algebra" by Lay for its visual and geometric approach.
  • Investigate "Differential Equations" by Boyce and DiPrima for comprehensive coverage of DE concepts.
  • Check out free resources like Hefferon's linear algebra course for additional learning materials.
USEFUL FOR

Engineering students, mathematics educators, and anyone seeking to enhance their understanding of linear algebra and differential equations through visual and application-based learning.

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!
 
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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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