Hoffman/Kunze VS Lang's Linear Algebra series

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SUMMARY

The discussion centers on the comparison between Hoffman/Kunze's "Linear Algebra" and Lang's "Introduction to Linear Algebra" series. The user expresses a preference for the rigorous approach of Hoffman/Kunze, particularly in defining matrices as functions from double indexing sets into fields. They seek clarity on whether Lang's series, especially the second book, matches this level of rigor. The consensus indicates that while Lang's books are valuable, they may not achieve the same depth of rigor as Hoffman/Kunze.

PREREQUISITES
  • Understanding of linear algebra concepts such as matrices and vector spaces.
  • Familiarity with mathematical rigor and definitions in advanced mathematics.
  • Basic knowledge of functions and indexing sets.
  • Experience with mathematical proofs and theoretical frameworks.
NEXT STEPS
  • Read Hoffman/Kunze's "Linear Algebra" to explore rigorous definitions and concepts.
  • Study Lang's "Introduction to Linear Algebra" for a different perspective on the subject.
  • Research the concept of matrices as functions in advanced linear algebra.
  • Explore supplementary resources on mathematical rigor in linear algebra.
USEFUL FOR

Students and educators in mathematics, particularly those focusing on linear algebra, as well as anyone seeking to deepen their understanding of rigorous mathematical definitions and concepts.

SrVishi
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Hi, I want to learn Linear Algebra in its most rigorous and expansive form. I have narrowed down to two books (well, one is a series). On one hand, I want to try Linear Algebra by Hoffman/Kunze, but my school's library has Lang's Introduction to Linear Algebra, and his second book on the subject, so I have them available for free. Is there anything I would be missing by choosing Lang's series over Hoffman and Kunze? I glimpsed through a microscopic preview of Hoffman/Kunze and I like how they rigorously defined the concept of a matrix as a function from a double indexing set into a field rather than a magical array of elements of a field. So, is Lang's books (at least his second one) as rigorous as Hoffman/Kunze. This was typed in a rush so please bear with me. Thanks in advance for any response.
 
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here is my free book: (you get what you pay for)

http://alpha.math.uga.edu/~roy/4050sum08.pdf
 

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