Other Which Introductory Linear Algebra Book Is Best for Aspiring Engineers?

AI Thread Summary
For those preparing for university-level engineering, an introductory linear algebra book is essential. Recommended resources include "Elementary Linear Algebra" by Anton, which covers fundamental topics like systems of equations and determinants clearly and also introduces more advanced concepts. Schaum's Outline of Linear Algebra is another practical option, offering concise explanations and applications relevant to engineering. While "Linear Algebra Done Right" is highly regarded, it may be too advanced for beginners, as it is typically used in second courses. "Linear Algebra Done Wrong" is more accessible but still challenging, making it suitable for students with a strong interest in mathematics. Overall, starting with a foundational text like Anton's is advisable for those new to matrices and determinants.
user10921
Messages
40
Reaction score
3
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
 
Physics news on Phys.org
  • Like
Likes user10921, berkeman, etotheipi and 1 other person
Elementary Linear Algebra by Anton.
 
  • Like
Likes user10921 and jasonRF
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/
 
  • Like
Likes user10921 and jasonRF
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
 
  • Like
  • Informative
Likes atyy, mpresic3, vanhees71 and 3 others
Thank you all!
 
  • Like
Likes berkeman
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

Similar threads

Replies
17
Views
7K
Replies
2
Views
2K
Replies
1
Views
2K
Replies
5
Views
3K
Replies
4
Views
3K
Replies
3
Views
4K
Replies
16
Views
10K
Replies
12
Views
3K
Back
Top