The phrase "abstract mathematics" is correct and usable in written English.
It can be used to refer to a branch of mathematics that deals with concepts independent of any specific instances or applications, often focusing on theoretical aspects.
Example: "The course will cover various topics in abstract mathematics, including group theory and topology."
Alternatives: "theoretical mathematics" or "pure mathematics".
Engineering courses have traditionally taught mathematical techniques involving poles and zeros and very abstract mathematics that beautifully describe the conditions under which a control can be designed with optimal performance.
Aren't these really exercises in abstract mathematics?
It's an example of how abstract mathematics can make a difference in a very real war.
Abstract mathematics, beautiful in itself, continually results in helpful applications, and that's pretty wonderful and delightful, too.
She noted that economists are sometimes legitimately criticized for engaging in abstract mathematics without caring much about its ramifications.
The scientists used abstract mathematics known as topology to overturn conventional thinking and explain these startling shifts in behaviour.
The language of mathematics purports to refer to and quantify over abstract mathematical objects.
All those items required abstract mathematical knowledge, so one reason might be that abstract economic reasoning using mathematics requires a higher cognitive effort than verbally represented financial items.
One option is to proceed as in mathematics and simply postulate the existence of a pairing function as an abstract mathematical object.
Mathematicians generally strive to abstract the mathematics from the contexts, so that underlying structures become clear, while statisticians need to precisely analyse the data (Rossman et al. [2006]).
Mathematician James White made the fortunate discovery that the same abstract pure mathematics that he used in his thesis unlocks some of the secrets of the geometry of circular DNA.
