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Unformatted text preview: FOUNDATIONS OF ANALYSIS Spring 2008 EXAM #1 REFERENCE DEFINITIONS subset proper subset set equality set union set intersection set complement disjoint sets function domain of a function codomain of a function range of a function image of a pt. (set) preimage of a set onto function 1-1 function equal functions graph of a function composition of functions inverse function characteristic function group field 1 ordered field upper bound of a set in R (and lower bound) least upper bound of a set in R (and glb) real numbers integers absolute value function rational number irrational number Archimedean property of R sequence finite sequence infinite sequence convergent sequence sequence converges to a real number sequence converges to infinity Cauchy sequence geometric series real-valued function continuous at a point finite set...
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- Spring '08