Comparing Intro to Linear Algebra Books

In summary, there are several books on linear algebra that can serve as a first and concise introduction. Some popular options include Linear Algebra by Shilov, Linear Algebra Done Right by Axler, and Linear and Geometric Algebra by Macdonald. However, the speaker recommends Strang's Linear Algebra and its Applications as a good introductory text, which can be accessed for a low cost. Other options mentioned include Lay's book, Lang's Introduction to Linear Algebra, and Apostol's chapters on linear algebra from his Calculus series. The speaker is not familiar with Poole, Marcus, or Macdonald's books, but considers them to be good options for introductory texts. There is also a legally free online book by Jim Hefferon
  • #1
theoristo
153
3
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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  • #2
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.
 
  • #4
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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  • #5
Thanks !
 

What is the purpose of comparing intro to linear algebra books?

The purpose of comparing intro to linear algebra books is to determine which book is the most suitable for a particular individual's learning style and needs. It can also help identify the strengths and weaknesses of each book and make an informed decision on which one to use.

What factors should be considered when comparing intro to linear algebra books?

Some factors to consider when comparing intro to linear algebra books include the level of difficulty, the depth of coverage of topics, the clarity of explanations, the use of examples and practice problems, and the availability of supplementary materials.

How can I ensure a fair comparison between intro to linear algebra books?

To ensure a fair comparison, it is important to use the same criteria for evaluating each book. This can include reading the same chapters or sections, attempting the same practice problems, and taking note of any notable differences in the approach or presentation of material.

Are there any online resources or reviews that can help with comparing intro to linear algebra books?

Yes, there are several online resources and reviews that can help with comparing intro to linear algebra books. These can include book review websites, forums or discussion boards, and academic websites that provide detailed comparisons and rankings of different textbooks.

Is it necessary to compare intro to linear algebra books if I already have a recommended textbook from my instructor?

While it is not necessary, it can still be beneficial to compare intro to linear algebra books even if you have a recommended textbook from your instructor. This can give you a better understanding of the material and help you supplement your learning with additional resources if needed.

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