Which Introductory Linear Algebra Book Is Best for Aspiring Engineers?

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SUMMARY

The forum discussion centers on selecting the best introductory linear algebra book for aspiring engineers. Key recommendations include "Elementary Linear Algebra" by Anton, which provides a clear introduction to systems of equations and determinants, and is suitable for beginners. "Linear Algebra Done Right" is noted for its rigor but is deemed too advanced for pre-college students unfamiliar with matrices. "Linear Algebra Done Wrong" is suggested as a more accessible alternative, though still challenging. Overall, Anton's book is favored for its practical applications and foundational content.

PREREQUISITES
  • Basic understanding of algebra
  • Familiarity with systems of equations
  • Introduction to matrices and determinants
  • Interest in engineering applications of linear algebra
NEXT STEPS
  • Research "Elementary Linear Algebra" by Anton for foundational concepts
  • Explore "Linear Algebra Done Wrong" for a rigorous introduction
  • Investigate online resources for supplementary materials on matrices and determinants
  • Look into additional linear algebra textbooks that focus on applications for engineers
USEFUL FOR

Students preparing for engineering programs, educators seeking teaching materials, and anyone interested in foundational linear algebra concepts with practical applications.

user10921
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Hello I am looking for an introductory linear algebra book. I attend university next year so I want to prepare and I want to become an engineer. I have a good background in the prerequisites, except I don't know anything about matrices or determinants. I am looking for the more application side, cause engineer.

Thanks in advance
 
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Elementary Linear Algebra by Anton.
 
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Schaum's Outline of Linear Algebra
(Part of the https://www.thriftbooks.com/series/schaums-outline/71382/)
by https://www.thriftbooks.com/a/seymour-lipschutz/246729/ and https://www.thriftbooks.com/a/marc-lipson/246730/
 
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I found that my freshman engineering curriculum assumed I already knew elementary matrix algebra and determinants (high-school level), so I think the OP is wise to try and learn the basic material before starting. Learning from a high-school book is probably sufficient, but an elementary linear algebra book should be a reasonable resource and will also have a lot of extra material that will eventually be needed.

I really like Anton's Elementary Linear Algebra recommended by Mondayman. Used copies of old editions are cheap, for example
https://www.amazon.com/dp/B010WIWLI8/?tag=pfamazon01-20
which has a section at the end on applications. The basic material on systems of equations and determinants is clearly presented in the first 100 pages, but it also includes nice introductions to abstract vector spaces, linear transformations and inner-product spaces if the OP has time and motivation to learn them. Other basic linear algebra books are probably fine, too, but I know Anton is good and gets to the basic material early-on.

BvU said:
But there is a lot to be said to drop the engineer and look at linear algebra done right (was free download for a while) or at linear algebra done wrong :smile:
I have spent many hours working through Linear Algebra Done Right, and while it is a great book I believe it is a poor choice for a pre-college student (perhaps still in high school?) who doesn't know anything about matrices or determinants to learn the subject all on their own. At least in the US, it is usually used as a text for a second course on the subject. And for good reason - even with a professor's help it is too difficult for most students to learn the material from the first time. I worked through it after taking a course that was a the level of Anton and found it to be a healthy challenge.

Linear Algebra Done Wrong looks more suitable. It at least it is written as a true first introduction to the subject, but it is certainly more difficult than something like Anton. After all, it is written for an honors-level introductory course at Brown. If the OP is particularly interested and/or gifted in rigorous math then it may be a good choice. Otherwise, I would recommend something easier for self-learning the material for the first time.

jason
 
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Thank you all!
 
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