Book recommendations: Linear algebra

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SUMMARY

This discussion focuses on recommendations for books containing solved problems in linear algebra, specifically those available for free in PDF format. Key suggestions include "Schaum's Outline of Linear Algebra," which offers numerous solved examples, and "Linear Algebra" by Friedberg, which is suitable for introductory courses. "Advanced Engineering Mathematics" by Kreyszig is noted for its extensive drill problems, while "Problems in Linear Algebra" by Paul Halmos is highlighted for its problem-solving focus. The discussion emphasizes the importance of selecting books that align with the reader's specific needs in linear algebra.

PREREQUISITES
  • Familiarity with linear algebra concepts such as vector spaces and matrix algebra.
  • Basic understanding of problem-solving techniques in mathematics.
  • Access to online resources for free PDF downloads of recommended books.
  • Knowledge of different linear algebra textbooks and their focuses.
NEXT STEPS
  • Research "Schaum's Outline of Linear Algebra" for its problem-solving approach.
  • Explore "Linear Algebra" by Friedberg for foundational concepts and exercises.
  • Investigate "Advanced Engineering Mathematics" by Kreyszig for additional practice problems.
  • Read "Problems in Linear Algebra" by Paul Halmos for targeted problem-solving techniques.
USEFUL FOR

Students, educators, and self-learners seeking practical resources for mastering linear algebra through solved problems and exercises.

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Homework Statement


What books of completely solved problems (free in pdf) in linear algebra would you suggest?
Please suggest books that have solved problems, and not theory.

Homework Equations

The Attempt at a Solution

 
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I would get an older edition of Linear Algebra by Anton (5 dollars shipped) and Friedberg, Ingel, Spence, "Linear Algebra," (8 dollars shipped). Friedberg is typically used for a second course, but it can be used as an introduction. If it is to hard, refer to Anton.
 
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I really liked Strang's book for a well-rounded approach to the subject.

For sheer number of drill problems, Advanced Engineering Mathematics by Kreyszig has a section on linear algebra that's one of the better introductions I've seen. I use the 7th edition, which you can get very cheaply off Amazon.

There's also the abstract algebra book by Pinter, A Book of Abstract Algebra, that I recommend because it's easy to read and helps to keep the broader ideas in mind.
 
jack476 said:
I really liked Strang's book for a well-rounded approach to the subject.

For sheer number of drill problems, Advanced Engineering Mathematics by Kreyszig has a section on linear algebra that's one of the better introductions I've seen. I use the 7th edition, which you can get very cheaply off Amazon.

There's also the abstract algebra book by Pinter, A Book of Abstract Algebra, that I recommend because it's easy to read and helps to keep the broader ideas in mind.

I found Strang a bit to verbose, great exercises however. This is a love it or hate book. I found Linear Algebra by Friedberg easier to read than Strang.
 
I strongly recommend the "Linear Algebra" by Hoffman/Kunze for in-depth learning of the topics. I am currently reading this book alongside with Friedberg (required text for my current LA course), and I found that H/K gives more insights and clearer explanations than Friedberg. Two things I do not really like about Friedberg are that the problem sets are quite repetitive and some important theorems and concepts are pushed to the problem sets.

Great resource for the problems is a book called "Problems in Linear Algebra" by Paul Halmos.
 
I think a lot of people here are missing that the OP specifically asked for a book that was light on theory...
 
Ah! How about Schaum's Outlines of Linear Algebra? I think Paul Halmos' Problems Book of Linear Algebra work very well too.
 
bacte2013 said:
Ah! How about Schaum's Outlines of Linear Algebra? I think Paul Halmos' Problems Book of Linear Algebra work very well too.

Depends on what the OP means with linear algebra. You interpret it as vector spaces. The OP might simply have matrix algebra and some geometry in mind.
 
  • #10
Speaking of Hoffman and Kunze, and Halmos' Linear Algebra Problem Book, how do those two compare as a main textbook?
 
  • #11
SrVishi said:
Speaking of Hoffman and Kunze, and Halmos' Linear Algebra Problem Book, how do those two compare as a main textbook?

Halmos' linear algebra problem book isn't meant as a main textbook. So it's very bad as a main textbook.
 

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