I really need a good linear algebra book

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Here is the syllabus for my first linear algebra course: http://gyazo.com/002e551e368990efb32b916dac40c2df

Right now, we are going through stuff like operations such as curley E(i,j;lambda) curley D(i,lambda) etc and I don't know where to find extra work on these, so I really need a book going through this. Preferably a pure based one with some routine computational questions also

I have tried lang's linear algebra but it did not include these operations.

 

[HallsofIvy]

I doubt you will find a single text that covers all of that. It seems to be about half "theory of proof" and "set theory" then the other half linear algebra.

 

[phospho]

I doubt you will find a single text that covers all of that. It seems to be about half "theory of proof" and "set theory" then the other half linear algebra.

Could you recommend one for the linear algebra part only please?

 

[DuncanM]

Doesn't the course include a book recommendation?

Where will the problem sets come from? If you buy one book, but the problem sets come from another, you will end up spending more money than you have to.

My first Linear Algebra textbook was "Elementary Linear Algebra" by Stanley I. Grossman.
(I was in an engineering program.)

I thought it was very good. For somebody who was brand-new to the field of Linear Algebra, I thought it did a good job of introducing and explaining concepts.

Also, in another thread in these forums, I recommended the textbook that goes along with the MIT OpenCourseware course:

https://www.physicsforums.com/showthread.php?p=4509747#post4509747

I mean, if it is good enough for MIT students, it should be a pretty good book.

 

[rezeew]

As a fellow scientist, I understand the importance of having a good textbook for a course. Based on the syllabus you provided, it seems like your course is focusing on the fundamental operations of linear algebra, such as E(i,j;lambda) and D(i,lambda). These are important concepts to understand and it is great that you are looking for additional resources to supplement your learning.

I would recommend checking out "Linear Algebra: A Modern Introduction" by David Poole. This book covers all the basic operations of linear algebra and also includes computational exercises throughout the chapters. It is a pure based book, but also includes applications and real-world examples to help solidify your understanding.

Another book that might be helpful is "Linear Algebra Done Right" by Sheldon Axler. This book is a bit more abstract and theoretical, but it covers all the essential topics in linear algebra and includes many exercises to practice on.

I would also suggest checking out online resources such as Khan Academy or MIT OpenCourseWare for additional practice problems and video lectures. These resources can be a great supplement to your textbook.

Overall, it is important to find a book that aligns with your learning style and covers the topics that are being taught in your course. I hope these recommendations help and good luck with your linear algebra studies!