AlexK+Maths

= Hi!! This is my Maths Page! = Back to my home page


 * Mathematics ** (from [|Greek] μάθημα // máthēma //, “knowledge, study, learning”) is the study of [|quantity] , [|structure] , [|space] , and [|change] . [|[2]]  [|Mathematicians] seek out [|patterns]  [|[3]]   [|[4]]  and formulate new [|conjectures] . Mathematicians resolve the truth or falsity of conjectures by [|mathematical proof] . The research required to solve mathematical problems can take years or even centuries of sustained inquiry. Since the pioneering work of [|Giuseppe Peano] (1858–1932), [|David Hilbert] (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing [|truth] by [|rigorous] [|deduction] from appropriately chosen [|axioms] and [|definitions] . When those mathematical structures are good models of real phenomena, then mathematical reasoning often provides insight or predictions.