Prerequisites for the textbook "Linear Algebra" (2nd Edition)?

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SUMMARY

The textbook "Linear Algebra (2nd Edition)" by Kenneth M. Hoffman and Ray Kunze requires a solid understanding of mathematical proofs and abstract mathematics, making it suitable for upper-division courses. For beginners, it is advisable to start with "Linear Algebra Done Right," which has no prerequisites aside from familiarity with proofs. Supplementary resources such as "Artin: Algebra" and "Vector Calculus, Linear Algebra, Differential Forms" by Hubbard and Hubbard provide essential foundational knowledge in matrices, determinants, and vector spaces.

PREREQUISITES
  • Understanding of mathematical proofs
  • Familiarity with abstract mathematics
  • Basic knowledge of matrices and determinants
  • Concepts of vector spaces and linear transformations
NEXT STEPS
  • Study "Linear Algebra Done Right" for foundational concepts
  • Explore "Artin: Algebra" for a deeper understanding of matrices and determinants
  • Read "Vector Calculus, Linear Algebra, Differential Forms" by Hubbard and Hubbard for concrete examples
  • Practice constructing mathematical proofs to enhance comprehension
USEFUL FOR

Students of mathematics, physics, and anyone preparing to study linear algebra at an advanced level will benefit from this discussion.

DartomicTech
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Summary:: What pre-requisites are required in order to learn the textbook
"Linear Algebra (2nd Edition) 2nd Edition
by Kenneth M Hoffman (Author), Ray Kunze (Author)"

Sorry if this is the wrong section to ask what the title and subject state. I read some of chapter 1 already, and that all made sense to me. But I don't want to actually start studying it, only to get to a point where I realize that I am missing a lot of needed knowledge to proceed learning the rest of the book.
 
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It looks pretty basic to me, so there shouldn't be a problem. Some content seems to be a bit biased towards mathematics, which is o.k. if you study mathematics, but might not be necessary if you study physics.
 
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fresh_42 said:
It looks pretty basic to me, so there shouldn't be a problem. Some content seems to be a bit biased towards mathematics, which is o.k. if you study mathematics, but might not be necessary if you study physics.
Thanks!
 
In the US that book tends to be used for upper-division, second courses in linear algebra. It requires you are comfortable with constructing proofs and reading abstract mathematics. If this is your first time learning linear algebra and you aren't comfortable with proofs yet, then I would recommend an easier book.

jason
 
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I prefer the book Linear Algebra Done Right. No prerequisite, only familiarity with proofs.

Its only shortcoming(can be a strength) is that determinants are relegated to the back of the book. You can easy supplement this with a book such as Artin: Algebra. Chapter 1 talks about matrices and determinants. Chapter 3 Vector Spaces, and Chapter 4 Linear Transformations and its properties.

To get concrete examples in R^n, you can view Vector Calculus, Linear Algebra, Differential Forms by Hubbard and Hubbard.

These books complement each other well, and you can learn quite a bit of mathematics doing so.

Hubbard and Hubbard is an interesting math book. A must on any shelf. It made it obvious to me that any linear transformation from R^n to R^m can be represented as T(v)=[T]v, where v is the column vector which is an element of R^n, [T] is the mxn matrix associated to the linear transformation T.
 
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