Linear Algebra Book Recommendation for Visual-Spatial Learners?

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Discussion Overview

The discussion revolves around recommendations for linear algebra books that cater to visual-spatial learners. Participants explore the importance of visual understanding in grasping linear algebra concepts, contrasting it with traditional memorization methods.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant seeks recommendations for linear algebra books that are visually oriented, expressing dissatisfaction with their current textbook, "Elementary Linear Algebra" by Spence and Friedberg.
  • Another participant mentions Schaum's outline books as a potential resource, noting that they still require some sketching for effective understanding.
  • A participant argues that visual-spatial learning enhances conceptual understanding, citing examples of notable scientists like Feynman and Einstein who benefited from visual approaches.
  • It is suggested that books on the mathematics of 3D graphics might be useful due to their heavy reliance on visual interpretations.
  • One participant recommends "Poole's Linear Algebra," describing it as a very visual book.

Areas of Agreement / Disagreement

Participants generally agree on the value of visual learning in understanding linear algebra concepts, but there is no consensus on specific book recommendations, as various options are presented without clear preference.

Contextual Notes

Some participants express uncertainty about the effectiveness of specific books for visual learners and the relative nature of high-level understanding in mathematics.

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Can someone please recommend a linear algebra book that will be more visual friendly. I like to understand the concepts visually and the book that my class is using doesn't fit me too well. I am using Elementary Linear Algebra by Spence and Friedberg.
 
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I do not know any visual spatial books except the schuam's outline books, but even then you still have to do a little sketching of the art. I think I understand what you mean visualization is the key to learning and success.

Cheers, Tenshou.
 
Tenshou said:
I do not know any visual spatial books except the schuam's outline books, but even then you still have to do a little sketching of the art. I think I understand what you mean visualization is the key to learning and success.

Cheers, Tenshou.

Definitely, I believe that it can enhance high level learning/understanding of the material versus simply memorizing things in words -- especially for visual learners. Look at people such as Feynman and Einstein for example - they were able to make leaps and bounds because they weren't tied down by rote memorization, they had a big advantage due to their conceptual understanding. There are scientific papers that state that visual-spatial learning promotes conceptual understanding.

There is no clear cut line defining high-level understanding of the material, it is a bit relative. To me, high level understanding is being able to close your eyes and picture the mathematics coming to life in animation and knowing why the expressions are the way they are.

It takes a lot of time though, and the pace of a course can go by quite fast.
 
Books on the mathematics of 3D graphics use pictures/spacial interpretations heavily.
 
Poole's Linear Algebra, I love that book. I think it's very visual, check it out.
 
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