Best Linear Algebra Textbooks for Self-Study: Recommendations and Reviews

In summary: I think that the textbook I am using right now is good enough. It is not a rigorous text, but it is easy to follow and the concepts are explained well. If you are looking for a rigorous text, I would recommend Strang's book.
  • #1
bubbles
97
0
I'm taking a first course in linear algebra, and my textbook very bad and the professor cannot teach. I need another textbook to help me self-study for this course that I am taking right now. I looked around Amazon and found that Linear Algebra: A Modern Introduction, by David Poole has good reviews, but they all seem biased. Has anyone used this textbook? Would you recommend it? Please recommend me some textbooks and study guide that are easy to self-study from.
 
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  • #2
Axler's 'Linear Algebra Done Right' is good for an introduction.
 
  • #3
Isn't that for a "second course on linear algebra"? I am having trouble with the concepts and I find the subject to be too abstract and difficult to understand. This is my first exposure to math that is more abstract. My professor only writes formal mathematical definitions on the board in lecture and does not really explain them. The textbook I am using right now does not explain things clearly at all; all the ideas seem to be disconnected and not related to each other.
 
  • #5
If you're looking for a book for self-study, keep in mind that Linear Algebra Done Right by Axler doesn't have any solutions or hints to any problems in the back, so you're pretty much on your own and have no way of checking whether you understand the concepts or are on the right track for any of the problems. Axler really leaves you hanging.
 
  • #7
I used Poole's book for my intro to Linear Algebra. I think it is probably one of the best required math texts I've had. In fact, it is one of the few I have actually held on to. However, if you already have a book I'd definitely consider something cheaper or maybe even sit in another teacher's section of the class.
 
  • #8
The|M|onster said:
I used Poole's book for my intro to Linear Algebra. I think it is probably one of the best required math texts I've had. In fact, it is one of the few I have actually held on to. However, if you already have a book I'd definitely consider something cheaper or maybe even sit in another teacher's section of the class.

I don't mind buying another textbook if it is worth it. I am planning to sell my linear algebra textbook as soon as the course is over because the required text (Bretscher) is so bad. The problems are all right but the explanations are too concise and formal, and the examples are not didactic. How much different is the first edition of Poole's linear algebra compared to the second edition? I have had bad experiences with first editions of math texts (errors), but am thinking of buying the first edition to save $40.
 
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  • #9
I'm not too familiar with the 1st edition, but I saw a copy of it being sold at a used bookstore for $10. Before you buy from Amazon you should check out local bookstores first. I've found a lot of gems at used bookstores, including a copy of Spivak's Calculus. You may even find a better text than Poole's.
 
  • #10
i like Lays book.
 
  • #11
I used Strang's book for Linear Algebra and found it to be pretty decent. Very friendly, written in a conversational style, perfect for someone looking to understand basic principles of Linear Algebra. I don't recommend it, however, for someone looking for a rigorous text.
 
  • #12
Thanks for all the responses. I have already bought Poole's book for linear algebra. I am not looking for a rigorous text, but just need a text that actually explains the topic. I realized that my professor is actually teaching a course based off of a text called Matrix Analysis for Scientists and Engineers, a more advanced text that I am now using as a supplement. That explains why few people in the class understand much from his lectures. I hope that I am not missing out on anything important since the professor decided to teach this course in a non-traditional way.
 
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  • #13
Just look for linear algebra with applications texts. One I found good is the one by nicholson, 5th edition. There are tons of proofs, but you can ignore them.

And yeah, I think axler would be overkill.
 

1. What is the importance of linear algebra in self-study?

Linear algebra is a fundamental branch of mathematics that deals with linear equations, vectors, matrices, and their operations. It has applications in various fields such as physics, engineering, computer science, and economics. Studying linear algebra is crucial for self-study as it provides a solid foundation for advanced topics and helps develop critical thinking and problem-solving skills.

2. What should I look for in a good linear algebra textbook for self-study?

A good linear algebra textbook for self-study should be well-organized, clear and concise, with plenty of examples and exercises. It should also have a strong focus on conceptual understanding and include real-world applications to make the material more relevant and interesting. Additionally, the textbook should have a comprehensive index and glossary for easy reference.

3. Are there any recommended linear algebra textbooks for self-study?

Yes, there are many great options for linear algebra textbooks for self-study. Some popular choices include "Linear Algebra Done Right" by Sheldon Axler, "Introduction to Linear Algebra" by Gilbert Strang, and "Linear Algebra: A Modern Introduction" by David Poole. It's best to do some research and read reviews to find the textbook that best suits your learning style and needs.

4. Can I self-study linear algebra without any prior mathematical knowledge?

It is possible to self-study linear algebra without any prior mathematical knowledge, but it may be more challenging. It is recommended to have a basic understanding of algebra and geometry before diving into linear algebra. Additionally, a strong foundation in calculus can also be helpful in understanding some of the more advanced topics in linear algebra.

5. How can I make the most out of self-studying linear algebra with a textbook?

To make the most out of self-studying linear algebra with a textbook, it's important to set a schedule and stick to it. Make sure to thoroughly read and understand each concept before moving on to the next one, and don't be afraid to ask for help or clarification if needed. It's also beneficial to practice regularly with exercises and review previously learned material to reinforce your understanding. Lastly, try to find real-world applications of the concepts you are learning to make the material more interesting and relevant.

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