Sorry, no online dictionaries contain the exact phrase branch of maths.
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Reverse dictionary results:
1. mathematics
 2. math
3. arithmetic
4. algebra
5. calculus
6. algebraical
7. algorithmic
8. arithmetical
9. arithmetization
10. arithmology
 11. discrete math
12. discrete mathematics
13. elementary algebra
14. epsilon
15. game theory
16. mathematical analysis
17. mathematicks
18. metamathematics
19. multiplicative
20. normal form
 21. numerical analysis
22. operational calculus
23. plexus
24. recreational mathematics
25. stochastic calculus
26. unary operator
27. alchemy
28. algebraic
29. analytic
30. applied mathematics
 31. calculus of variations
32. closeness
33. cologarithm
34. combinatorial
35. combinatorics
36. complexity theory

You can look up the words in the phrase individually using these links:   branch ?   of ?   maths ?
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