Click on the hyperlinks to explore how we add, subtract, divide and multiply in mathematics. Topology in all its many ramifications may have been the best growth area in twentieth-century mathematics; it contains level-set topology , set-theoretic topology , algebraic topology and differential topology In particular, situations of recent-day topology are metrizability concept , axiomatic set idea , homotopy principle , and Morse theory Topology also includes the now solved Poincaré conjecture , and the nonetheless unsolved areas of the Hodge conjecture Other leads to geometry and topology, including the 4 color theorem and Kepler conjecture , have been proved only with the help of computer systems.

By mathematics , from Latin mathematica (plural), from Greek mathematike tekhne “mathematical science,” feminine singular of mathematikos (adj.) “referring to mathematics, scientific, astronomical; disposed to learn,” from mathema (genitive mathematos) “science, knowledge, mathematical information; a lesson,” actually “that which is learnt;” associated to …