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008 040114s1992 000 0 eng d
020 _a0070356904
035 _a(AEA)A694F9E253234402A3E017C9CC0D1E8F
040 _aAEA-IRC
_cAEA-IRC
050 _aQA 9
_b.K967 1992a
100 1 _aKurtz, David C.
_922993
245 1 0 _aFoundations of abstract mathematics /
_cDavid C. Kurtz.
250 _aInternational ed.
260 _aNew York :
_bMcGraw-Hill,
_cc1992.
265 _aRAB
300 _axv, 189 p. :
_bill. ;
_c24 cm.
500 _aPhotocopy. DLSU-DasmariƱas. 2000.
520 _aOne of the most difficult steps a student of mathematics must make is the one into that (blissful) state known as "mathematical maturity". This is a step which is accomplished by making the transition from solving problems in a fairly concrete setting in which there is a well-known method or an algorithm for each problem type (as in most calculus courses, for example) to writing proofs and producing counterexamples involving more abstract objects and concepts, an activity for which there is no well-defined algorithm. Two things which seem to inhibit a smooth transition are lack of knowledge on some fundamental mathematical ideas?logic, sets, functions?and lack of experience in two important mathematical activities?finding examples of objects with specified properties and writing proofs. This book is an attempt to provide an opportunity to gain exposure to these activities while learning some of the necessary fundamental ideas.
650 7 _aLogic, Symbolic and mathematical.
_2sears
_917531
650 7 _aMathematics.
_2sears
_922994
942 _2lcc
_cGS
984 _a040991
_blpg