Mathematics Areas Mathematics tend of course to unity but different parts make special use of others ones, like here. |
|||||||||||||||||||||||||||
|
1. |
2. |
3. |
4. |
5. |
6. |
7. |
8. |
9. |
10. |
11. |
12. |
13. |
14. |
15. |
16. |
17. |
18. |
19. |
20. |
21. |
22. |
23. |
24. |
25. |
26. |
27. |
1. General Topology |
= |
+ |
|
|
|
|
|
|
|
|
|
|
+ |
|
|
|
|
|
|
+ |
|
|
|
|
|
|
|
2. Algebraic & differential topology |
|
= |
+ |
+ |
+ |
+ |
|
+ |
+ |
+ |
|
+ |
+ |
+ |
|
|
|
|
|
|
|
|
|
|
|
|
|
3. Differential geometry |
|
+ |
= |
+ |
|
+ |
|
+ |
+ |
+ |
|
|
+ |
|
|
|
|
|
|
+ |
|
|
|
|
|
|
|
4. Differential equations |
|
+ |
+ |
= |
+ |
+ |
|
|
+ |
+ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5. Ergodic theory |
|
|
|
+ |
= |
|
|
|
|
|
+ |
|
|
|
|
|
|
+ |
|
|
|
|
|
|
|
|
|
6. Partial derivatives equations |
|
|
+ |
+ |
|
= |
+ |
+ |
+ |
+ |
|
|
|
|
|
|
|
+ |
|
|
|
|
|
|
|
|
|
7. Non commutative harmonic analysis |
|
|
|
|
+ |
|
= |
+ |
|
|
+ |
|
+ |
+ |
+ |
|
|
|
|
|
|
|
|
|
|
|
|
8. Modular & automorphism |
|
|
|
|
|
|
+ |
= |
+ |
+ |
+ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9. Analytical geometry |
|
|
|
+ |
|
|
|
+ |
= |
+ |
+ |
|
+ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10. Algebraic geometry |
|
+ |
|
+ |
|
|
|
+ |
+ |
= |
+ |
|
+ |
+ |
|
|
|
|
|
+ |
|
|
|
|
|
|
|
11. Number theory |
|
|
|
|
|
|
|
+ |
|
+ |
= |
|
|
|
+ |
|
|
|
|
|
|
|
|
|
|
|
+ |
12. Homologic algebra |
|
+ |
+ |
+ |
|
+ |
+ |
+ |
+ |
+ |
+ |
= |
+ |
+ |
|
|
|
|
|
+ |
|
|
|
|
|
|
|
13. Lie groups |
|
+ |
+ |
+ |
+ |
+ |
+ |
+ |
+ |
+ |
|
|
= |
+ |
+ |
|
|
|
|
|
|
|
|
|
|
|
|
14. Abstract groups |
|
+ |
|
|
|
|
+ |
|
|
|
|
|
|
= |
|
|
|
+ |
|
|
|
|
|
|
|
|
|
15. Harmonic commutative analysis |
|
|
|
+ |
+ |
+ |
+ |
+ |
|
|
|
|
+ |
|
= |
|
|
+ |
|
|
|
|
|
|
|
|
|
16. von Neuman algebra |
|
|
|
|
+ |
|
+ |
|
|
|
|
|
|
|
|
= |
|
|
|
|
|
|
|
|
|
|
|
17. Mathematical logic |
|
|
|
|
|
|
|
|
|
|
+ |
|
|
|
|
|
= |
|
|
|
|
|
|
|
|
|
+ |
18. Probability calculus |
|
+ |
|
|
+ |
+ |
|
+ |
|
|
|
|
|
|
+ |
|
|
= |
+ |
+ |
|
+ |
|
|
|
|
|
19. Categories & spindles |
|
+ |
|
|
|
|
|
|
+ |
+ |
|
+ |
|
+ |
|
|
+ |
|
= |
+ |
|
|
|
|
|
|
|
20. Commutative algebra |
|
+ |
+ |
|
|
|
+ |
|
+ |
+ |
+ |
+ |
|
+ |
|
|
|
|
+ |
= |
|
|
|
|
|
|
|
21. Spectral theory of operators |
|
|
|
+ |
+ |
+ |
+ |
|
|
|
|
|
|
|
+ |
+ |
|
|
|
|
= |
|
|
|
|
|
|
22. Set theory |
|
|
+ |
|
|
|
|
|
|
|
|
|
|
|
|
|
+ |
|
+ |
|
|
= |
|
|
|
|
|
23. General algebra |
|
|
|
|
|
|
|
|
|
|
|
+ |
+ |
+ |
|
|
|
|
+ |
+ |
+ |
|
= |
|
|
|
|
24. Classical analysis |
|
|
|
+ |
+ |
|
+ |
|
+ |
|
+ |
|
+ |
|
+ |
|
|
|
|
|
|
|
|
= |
|
|
|
25. Topologic vectorial space |
|
|
+ |
|
|
|
|
|
|
|
|
|
|
|
+ |
|
|
+ |
|
|
+ |
|
|
|
= |
|
|
26. Integration |
|
|
|
+ |
+ |
+ |
|
|
|
|
|
|
+ |
|
+ |
+ |
|
+ |
|
|
+ |
|
|
|
|
= |
|
27.Groups theory |
|
|
|
|
|
|
|
|
|
|
+ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
= |
Source: nfm |