000			a
999			_c33192 _d33192
008			240427b xxu||||| |||| 00| 0 eng d
020			_a9781470471880
082			_a511.3 _bTAY
100			_aTaylor, Scott A.
245			_aIntroduction to mathematics : number, space, and structure
260			_bAmerican Mathematical Society, _c2023 _aProvidence :
300			_axxvi,415 p.; _bill., _c25 cm
365			_b89.00 _c$ _d86.30
490			_aPure and applied undergraduate texts
504			_aIncludes bibliographical references and index.
520			_aThis textbook is designed for an Introduction to Proofs course organized around the themes of number and space. Concepts are illustrated using both geometric and number examples, while frequent analogies and applications help build intuition and context in the humanities, arts, and sciences. Sophisticated mathematical ideas are introduced early and then revisited several times in a spiral structure, allowing students to progressively develop rigorous thinking
650			_aSymbolic and mathematical
650			_aSet theory
650			_aBasic Proof Techniques
650			_aBuilding Sets
650			_aSet Theory Axiomatics
650			_aCauchy sequences
650			_aEquivalence relation
650			_aHilbert curve
650			_aMetric space
650			_aPeano axioms
650			_aRussell's paradox
650			_aWell-ordering principle
942			_2ddc _cBK