Modules & Algebra of Matrices: Intro Book Recommendations

Click For Summary

Discussion Overview

The discussion revolves around recommendations for introductory books on modules and the algebra of matrices, focusing on readability and the applicability of the material to linear transformations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests recommendations for readable introductory books on modules and algebra of matrices.
  • Another participant shares their own algebra notes available on their webpage, noting they are free to access.
  • A participant recommends Herstein's "Topics in Algebra," highlighting its careful introduction to modules and its application to linear transformations, but notes that it lacks depth on modules.
  • The same participant appreciates the book's treatment of groups and rings and mentions a preference for the font used in the book.
  • There is a mention of another book by Herstein, "Topics in Ring Theory," which may cover modules more extensively.
  • One participant finds their algebra notes dense and suggests that printing them might improve readability.

Areas of Agreement / Disagreement

Participants express varying opinions on the suitability of Herstein's book for learning about modules, with some appreciating its content while others note its limitations. The discussion does not reach a consensus on the best introductory resources.

Contextual Notes

Some participants express concerns about the density of the material in the recommended resources, which may affect comprehension. There are also indications that the recommendations depend on individual preferences for readability and depth of content.

Who May Find This Useful

Readers interested in learning about modules, algebra of matrices, or seeking introductory resources in algebra may find this discussion beneficial.

pivoxa15
Messages
2,250
Reaction score
1
Anyone recommand readable intro books on modules and algebra of matrices?
 
Physics news on Phys.org
my algebra notes on my webpage, and they are free.
 
One book I like which offers a very careful introduction to and motivation of modules and then applies the theory to linear transformations is Herstein, Topics in Algebra, Second Ed., Wiley, 1975.
 
Chris Hillman said:
One book I like which offers a very careful introduction to and motivation of modules and then applies the theory to linear transformations is Herstein, Topics in Algebra, Second Ed., Wiley, 1975.

Nice book but not much on modules which is unfortunate. But the other stuff about groups and rings are very nice. I like the font as well.

Apparently there is another book by him called 'Topics in ring theory'. That might have more on modules.
 
Last edited:
mathwonk said:
my algebra notes on my webpage, and they are free.

It seemed a bit dense in every sense of the word. Maybe it might work better had I printed them out.
 

Similar threads

Intro Physics What is the best conceptual high school physics book?
  • · Replies 2 ·
Replies
2
Views
2K
Book recommendations (abstract algebra and number theory)
  • · Replies 5 ·
Replies
5
Views
4K
Intro Physics Beginner friendly mathematical physics book
  • · Replies 30 ·
2
Replies
30
Views
7K
Linear Algebra I need a book on linear algebra....
  • · Replies 2 ·
Replies
2
Views
2K
Classical A relearning experience - self study edition
  • · Replies 16 ·
Replies
16
Views
5K
Analysis Book needed for Applied Linear Analysis Course
  • · Replies 3 ·
Replies
3
Views
2K
Intro Math Recommendations for Math book series for preschool onward
  • · Replies 18 ·
Replies
18
Views
3K
Quick question on intro to linear algebra book
  • · Replies 14 ·
Replies
14
Views
2K
Need a book with good intro to Taylor Couette flow
  • · Replies 1 ·
Replies
1
Views
1K
Intro Physics Learn Python: Top Book Recommendations for Beginners
  • · Replies 9 ·
Replies
9
Views
13K