exact science vs mathematics

exact science

noun
  • A mathematical science, i.e. a field of science such as mathematics or mathematical physics which is capable of perfectly exact results based on rigorously formal methods. 

  • A field of science such as physics or chemistry that is not perfectly exact, but still capable of highly quantitative results based on methods that are are not strictly rigorous, but still systematic and scrupulous. 

  • Used contrastively to characterize something as imprecise or relying on intuition or heuristics. 

mathematics

noun
  • A person's ability to count, calculate, and use different systems of mathematics at differing levels. 

  • An abstract representational system studying numbers, shapes, structures, quantitative change and relationships between them. 

How often have the words exact science and mathematics occurred in a corpus of books? (source: Google Ngram Viewer )