Comparing Intro to Linear Algebra Books

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Discussion Overview

The discussion centers around recommendations for introductory linear algebra textbooks, exploring various options and opinions on their suitability for beginners. Participants share their experiences and preferences regarding different texts.

Discussion Character

  • Debate/contested
  • Exploratory

Main Points Raised

  • One participant asks for recommendations for concise introductory linear algebra books, listing several titles.
  • Another participant expresses unfamiliarity with some of the listed books but suggests that Strang's "Linear Algebra and its Applications" is a good introductory text, noting its availability and accompanying online course.
  • Some participants mention other texts they consider good for beginners, including Lay's book and Lang's "Introduction to Linear Algebra," as well as Apostol's chapters on linear algebra.
  • A participant introduces a free online textbook, "Linear Algebra" by Jim Hefferon, and inquires about its comparative quality.
  • Another participant acknowledges having heard positive feedback about Hefferon's book but admits they have not read it themselves.

Areas of Agreement / Disagreement

Participants do not reach a consensus on which textbook is the best introductory option, as multiple competing views and recommendations are presented throughout the discussion.

Contextual Notes

Some participants express unfamiliarity with certain books, which may affect their recommendations. The discussion includes a mix of personal preferences and varying levels of familiarity with the suggested texts.

theoristo
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Can you recommend one these book as a first andd concise introduction to linear algebra ,which is better?:
Linear Algebra (Dover Books on Mathematics) Georgi E. Shilov https://www.amazon.com/dp/048663518X/?tag=pfamazon01-20
Linear Algebra: A Modern Introduction David Poole https://www.amazon.com/dp/0538735457/?tag=pfamazon01-20
Linear Algebra Stephen H. Friedberg https://www.amazon.com/dp/0130084514/?tag=pfamazon01-20
Linear Algebra Done Right Sheldon Axler https://www.amazon.com/dp/0387982582/?tag=pfamazon01-20
Lectures on Linear Algebra (Dover Books on Mathematics) Gelfand https://www.amazon.com/dp/0486660826/?tag=pfamazon01-20
Introduction to Linear Algebra by Marvin Marcus https://www.amazon.com/dp/0486656950/?tag=pfamazon01-20
Linear and Geometric Algebra by Alan Macdonald https://www.amazon.com/dp/1453854932/?tag=pfamazon01-20
Any other?(I'm a solid yet concise introduction).thanks.
 
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I am not familiar with Poole, Murcus, or Macdonald, but I would not consider any of the other ones good introductory texts. As an introductory text, I would consider Strang's Linear Algebra and its Applications. You can get the first edition for under $5 easily. There is a full MIT ocw course taught by Strang online.

Additionally:
I know some people that like Lay's book. Others like Lang's Introduction to Linear Algebra. I personally like Apostol's chapters on linear algebra from his Calculus Vol 1-2. He has a stand-alone book, but it is pricey.
 
I have heard it is pretty good, but I have not read any of it. It looks like it would be sufficient.
 
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Thanks !
 

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