Linear and Abstract Algebra Forum

Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
  • Sticky
Replies
1
Views
21K
Replies
9
Views
373
Replies
4
Views
237
Replies
0
Views
119
Replies
2
Views
182
Replies
3
Views
179
Replies
8
Views
269
Replies
6
Views
409
Replies
10
Views
239
Replies
14
Views
496
Replies
2
Views
299
Replies
33
Views
606
Replies
9
Views
625
Replies
24
Views
471
Replies
19
Views
1K
Replies
13
Views
380
Replies
22
Views
730
Replies
14
Views
376
Replies
7
Views
448
Replies
1
Views
322
Replies
4
Views
1K
Replies
14
Views
1K
Replies
1
Views
463
Replies
2
Views
494
Replies
3
Views
603
Replies
8
Views
664
Replies
2
Views
825
Replies
4
Views
766
Replies
8
Views
771
Replies
20
Views
892
Replies
9
Views
724
Replies
8
Views
803
Replies
3
Views
688
Replies
10
Views
870
Replies
2
Views
704
Replies
7
Views
812
Replies
1
Views
794
Replies
2
Views
766
Replies
4
Views
811
Replies
11
Views
1K
Replies
13
Views
1K
Replies
7
Views
959
Replies
1
Views
753
Replies
4
Views
1K
Replies
6
Views
831
Replies
1
Views
799
Replies
5
Views
820
Replies
1
Views
737
Replies
3
Views
1K
Replies
3
Views
1K
Replies
7
Views
946
Replies
1
Views
887
Replies
9
Views
1K
Replies
7
Views
1K
Replies
0
Views
2K
Replies
2
Views
882
Replies
1
Views
934
Replies
4
Views
1K
Replies
4
Views
949
Replies
20
Views
1K
Replies
4
Views
1K
Replies
1
Views
787
Replies
12
Views
1K
Replies
7
Views
1K
Replies
15
Views
1K
Replies
2
Views
1K
Replies
19
Views
1K
Replies
19
Views
2K
Replies
4
Views
961
Replies
5
Views
946
Replies
11
Views
1K
Replies
41
Views
2K
Replies
2
Views
2K
Replies
1
Views
864
Replies
6
Views
965
Replies
7
Views
936

Linear and Abstract Algebra

Linear and abstract algebra are branches of mathematics that deal with algebraic structures and their properties.

Linear algebra primarily focuses on vector spaces, linear transformations, and systems of linear equations. It provides essential tools for understanding geometric concepts, solving linear equations, and working with matrices. Abstract algebra, on the other hand, is a more generalized study that investigates algebraic structures such as groups, rings, and fields. It delves into the properties and relationships of algebraic systems, aiming to identify common structures and abstract patterns.

Both linear and abstract algebra are foundational areas of mathematics with applications spanning diverse fields, from physics and computer science to cryptography and optimization.
Back
Top