Do you mean different math topics aka fields, to the math definition of a field such as the real numbers? Please resubmit this question and you will get an answer.
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Science different fields need mathematics; including algebra; to verify different science theories and explain different science phenomena.
The different of the mathematics are simple, they are of become one, of plenty which make do.
Hippocrates and Euclid made their greatest achievements in the fields of Mathematics, Medicine, and Engineering.
the instruments in mathematics
Some of the sub-branches of economics that rely on fields of statistics and mathematics are econometrics, transport economics, managerial economics and international economics.