algebra vs calculus

algebra

noun
  • A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols. 

  • A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas. 

  • An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication. 

  • A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences). 

  • A universal algebra. 

  • One of several other types of mathematical structure. 

  • The study of algebraic structures. 

  • The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture. 

calculus

noun
  • Any formal system in which symbolic expressions are manipulated according to fixed rules. 

  • Differential calculus and integral calculus considered as a single subject; analysis. 

  • Deposits of calcium phosphate salts on teeth. 

  • A stony concretion that forms in a bodily organ. 

  • A decision-making method, especially one appropriate for a specialised realm. 

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