Book recommendations: Linear algebra

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Discussion Overview

The discussion revolves around recommendations for books that contain solved problems in linear algebra, specifically those that are available for free in PDF format. Participants explore various texts, their approaches, and suitability for different levels of understanding, while emphasizing the need for practical problem-solving resources over theoretical content.

Discussion Character

  • Homework-related
  • Debate/contested
  • Exploratory

Main Points Raised

  • One participant requests recommendations for books focused on solved problems rather than theory.
  • Another suggests Schaum's Outline of Linear Algebra, noting it contains many solved examples but is not free.
  • Several participants recommend older editions of Linear Algebra by Anton and Friedberg, Ingel, Spence, highlighting their affordability and content.
  • Strang's book is mentioned positively for its well-rounded approach, though one participant finds it verbose and prefers Friedberg for readability.
  • Hoffman and Kunze's book is recommended for in-depth learning, with one participant noting it provides clearer explanations than Friedberg.
  • Halmos' "Problems in Linear Algebra" is suggested as a great resource for problem sets, but its suitability as a main textbook is questioned.
  • There is a discussion about the interpretation of linear algebra, with some participants suggesting the OP may be looking for a focus on matrix algebra and geometry instead of vector spaces.

Areas of Agreement / Disagreement

Participants express differing opinions on the suitability of various texts, with some emphasizing the need for books that minimize theoretical content. There is no consensus on a single recommended book, and multiple competing views remain regarding the best resources for solved problems in linear algebra.

Contextual Notes

Some recommendations are based on personal preferences and experiences, which may not align with the OP's specific request for light theory. The discussion reflects a range of interpretations of what constitutes linear algebra, affecting the suggestions made.

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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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