Foundations of abstract mathematics / David C. Kurtz.
Material type: TextPublication details: New York : McGraw-Hill, c1992.Edition: International edDescription: xv, 189 p. : ill. ; 24 cmISBN:- 0070356904
- QA 9 .K967 1992a
Item type | Current library | Collection | Call number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|
Graduate Studies | DLSU-D GRADUATE STUDIES Graduate Studies | Graduate Studies | QA 9 .K967 1992a (Browse shelf(Opens below)) | Available | 3AEA0000299467 |
Photocopy. DLSU-Dasmariñas. 2000.
One 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.
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