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fxdung
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What are the suitable books in linear algebra for third course for self-study after reading Linear Algebra done right by Axler and Algebra by Artin?
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Are you sure that you want a third book on linear algebra? Maybe you just want more advanced stuff on abstract algebra, not necessarily linear.fxdung said:What are the suitable books in linear algebra for third course for self-study after reading Linear Algebra done right by Axler and Algebra by Artin?
Need or want?fxdung said:I need to go deeper in Linear Algebra
You are asking for a book after Artin and Artin has two very nice chapters on Module Theory and Representation theory respectively so this comment doesn't make much sense.fxdung said:I haven't had that knowledge. So I need a general book higher than Axler's book
fxdung said:I need to go deeper in Linear Algebra
... in which case it shouldn't be a problem to answer ...fxdung said:I have finished Axler, and I am reading Artin.I ask the question preparing for the time I finish Artin.
... because ...Infrared said:Why? Are there specific topics that you want to learn about?
... requires specific topics that you call deeper, in order to make specific suggestions.fxdung said:I need to go deeper in Linear Algebra
By read, do you mean working through the exercises without looking at solutions?fxdung said:I have not finished undergraduate in math(self-study).I have just only read Basic Analysis by Peterson Vol 1-3 and Linear Algebra done right by Axler and preparing to read Algebra by Artin.So I haven't been able to solve problem in Greub.Is it good to read Greub after finish Artin?
Thats not how science or math books works. You have to do the exercises...fxdung said:I intent to do exercices after re-reading the books. I like have a general view about mathematics.
This explains why you have posted so many messages struggling with various things. @MidgetDwarf is right.fxdung said:I intent to do exercices after re-reading the books.
Sure, Greub is a good book. But it will not solve your problem. You can read a thousand books and still don't make a progress. Those books you already have are good books, too, and working through them should qualify you to solve most linear algebra problems.fxdung said:So I haven't been able to solve problem in Greub.Is it good to read Greub after finish Artin?
IMO, No. If you work through a chapter in a textbook and skip the exercises, you are wasting your time (and ours, BTW) if you want to be sure you are effectively learning the material. The exercises are a test of your understanding. "Self Learning" does not mean that you get to skip the learning part and just get a general idea of the material.fxdung said:Yes,you are right! And I need every thing must be "demonstrated" .I have spirit "must be convinced by logic".But I want save time not to do exercices at first time.And in short time I have general view about Math.
Is that way OK?
I understand why others criticize you, but I have to tell you that I use similar strategy when I only want to get a big picture in a short time. After getting a big picture, then I can more easily motivate myself to study the details. So if that strategy works for you too (obviously, it doesn't work for everybody), go with it!fxdung said:Yes,you are right! And I need every thing must be "demonstrated" .I have spirit "must be convinced by logic".But I want save time not to do exercices at first time.And in short time I have general view about Math.
Is that way OK?
A third course in Linear Algebra is typically taken at the advanced undergraduate or graduate level and focuses on more abstract and advanced topics in linear algebra. It builds upon the foundational concepts learned in earlier courses and delves deeper into topics such as vector spaces, linear transformations, and eigenvalues and eigenvectors.
Some commonly recommended textbooks for a third course in Linear Algebra include "Linear Algebra Done Right" by Sheldon Axler, "Linear Algebra" by Serge Lang, and "Advanced Linear Algebra" by Steven Roman. However, the specific textbook used may vary depending on the instructor and the course curriculum.
Some important topics that are typically covered in a third course in Linear Algebra include advanced vector spaces, linear transformations, matrix factorizations, canonical forms, and applications of linear algebra in other fields such as computer science and physics.
Yes, there are many online resources and supplementary materials available for learning Linear Algebra. Some popular options include online lecture notes, video lectures, practice problems and solutions, and online forums for discussing concepts and asking questions.
To prepare for a third course in Linear Algebra, it is important to have a strong understanding of the foundational concepts from earlier courses. Reviewing topics such as vector operations, matrix operations, and solving systems of linear equations can help in building a solid foundation. It may also be helpful to familiarize yourself with some of the more advanced topics that will be covered in the course.