I really need a good linear algebra book

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Discussion Overview

The discussion revolves around finding a suitable linear algebra textbook for a first course in linear algebra. Participants express specific needs for resources that cover both theoretical concepts and computational exercises, particularly focusing on certain operations mentioned in the course syllabus.

Discussion Character

  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant shares their course syllabus and expresses a need for a textbook that covers specific operations like curley E(i,j;lambda) and curley D(i,lambda), indicating a preference for a pure-based approach with computational questions.
  • Another participant doubts the availability of a single text that comprehensively covers both the theoretical and computational aspects required for the course.
  • A request is made for recommendations focusing solely on the linear algebra portion of the course.
  • One participant questions whether the course includes a book recommendation and raises concerns about the source of problem sets, suggesting that mismatched resources could lead to unnecessary expenses.
  • A recommendation is made for "Elementary Linear Algebra" by Stanley I. Grossman, noted for its clarity in introducing concepts to beginners.
  • Another participant references a textbook associated with the MIT OpenCourseware course, implying its quality based on its use by MIT students.

Areas of Agreement / Disagreement

Participants express differing views on the availability of a single comprehensive textbook, with some suggesting that multiple resources may be necessary. There is no consensus on a specific book recommendation that meets all the needs outlined.

Contextual Notes

Participants highlight the potential mismatch between textbooks and problem sets, indicating that the effectiveness of a recommended book may depend on its alignment with course requirements.

Who May Find This Useful

Students enrolled in introductory linear algebra courses, educators seeking textbook recommendations, and individuals looking for resources that balance theory and computational practice in linear algebra.

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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.
 
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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.
 
HallsofIvy said:
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?
 
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.
 

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