mathematics vs numerology

mathematics

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

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

numerology

noun
  • The study of the purported mystical relationship between numbers (or the letters of words, represented by numbers) and the character or action of physical objects and living beings. 

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