3D geometry exercises with linear algebra

AI Thread Summary
The discussion centers on the need for resources that bridge theoretical knowledge of linear algebra with practical applications in 3D geometry, particularly in fields like computer vision and rigid body motion. A recommendation is made for "Matrix Theory for Physicists" by J. Heading, which, despite being an older text, covers applications in geometry and classical mechanics. However, concerns are raised about its relevance for computer vision, particularly the lack of exercises in projective geometry. Additional reading suggestions include J. A. Todd's "Projective and Analytical Geometry," although it is also an older work. The conversation highlights the importance of finding materials that effectively connect linear algebra concepts to practical geometric problems.
Avatrin
Messages
242
Reaction score
6
Hi

I have noticed that while I have the grasp of the theoretical underpinnings of linear algebra, I need work on applying it to geometric problems (think computer vision and rigid body motion). So, I am looking for a book that allows me to practice 3D geometry problems.

Is there any obvious book you guys can recommend?
 
Physics news on Phys.org
This is a really old book "Matrix Theory for Physicists" by J. Heading (1958) but it discusses application to geometry and classical mechanics as well as E/M, QM and SR.
 
  • Like
Likes vanhees71 and Avatrin
gleem said:
This is a really old book "Matrix Theory for Physicists" by J. Heading (1958) but it discusses application to geometry and classical mechanics as well as E/M, QM and SR.

Alright, that sounds great, but will it be useful for computer vision? I guess it doesn't include any exercises for projective geometry...
 
The author recommended additional reading of J. A. Todd "Projective and Analytical Geometry" Probably older than Heading's. Heading probably did not have computer applications in mind when he wrote his book. It does not mean that there is nothing useful or applicable to projective geometry though.
 
  • Like
Likes Avatrin
A vector space approach to geometry by Hausner maybe?
 

Thread 'Opinions/personal experiences on the following four CompSci books'

For the following four books, has anyone used them in a course or for self study? Compiler Construction Principles and Practice 1st Edition by Kenneth C Louden Programming Languages Principles and Practices 3rd Edition by Kenneth C Louden, and Kenneth A Lambert Programming Languages 2nd Edition by Allen B Tucker, Robert E Noonan Concepts of Programming Languages 9th Edition by Robert W Sebesta If yes to either, can you share your opinions about your personal experience using them. I...
View full post »

Thread 'Ashcroft and Mermin: revised edition'

Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
View full post »

Similar threads

Linear Algebra How hard is this Linear Algebra textbook?
Replies
17
Views
7K
Calculus Which books for Calculus AND Linear Algebra
Replies
4
Views
3K
Linear Algebra Schaum's Outline for self-studying mathematics
Replies
2
Views
3K
Algebra Looking for my first textbook on Linear Algebra Need suggestions
Replies
11
Views
3K
What would be a good book for learning Linear Algebra by myself?
Replies
12
Views
7K
Classical Source recommendation on Differential Geometry
Replies
6
Views
3K
Intro Math Plan to revise my learned math & start learning pure math
Replies
5
Views
4K
Introductory Linear Algebra Texts
Replies
1
Views
2K
Analysis Study plan for Functional Analysis - Recommendations and critique
Replies
13
Views
4K
Intro Math Are the (translated) High School Japanese maths textbooks by Kodaira Good?
Replies
15
Views
4K

Hot Threads

Recent Insights

Back
Top