LEADER 03204nam 2200637 a 450 001 9911019235203321 005 20200520144314.0 010 $a9786613280039 010 $a9781283280037 010 $a1283280035 010 $a9781118165690 010 $a1118165691 010 $a9781118165706 010 $a1118165705 035 $a(CKB)2550000000053022 035 $a(EBL)818931 035 $a(OCoLC)757394919 035 $a(SSID)ssj0000608168 035 $a(PQKBManifestationID)11973858 035 $a(PQKBTitleCode)TC0000608168 035 $a(PQKBWorkID)10591614 035 $a(PQKB)10830438 035 $a(MiAaPQ)EBC818931 035 $a(Perlego)2770579 035 $a(EXLCZ)992550000000053022 100 $a20000214d2000 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLearning to reason $ean introduction to logic, sets, and relations /$fNancy Rodgers 210 $aNew York $cWiley$d2000 215 $a1 online resource (457 p.) 300 $aDescription based upon print version of record. 311 08$a9780471371229 311 08$a047137122X 320 $aIncludes bibliographical references and index. 327 $aLearning to Reason: An Introduction to Logic, Sets, and Relations; Contents; To Students; To Teachers; 1 Logical Reasoning; 1.1 Symbolic Language; 1.2 Two Quantifiers; 1.3 Five Logical Operators; 1.4 Laws of Logic; 1.5 Logic Circuits; 1.6 Translations; Review; 2 Writing Our Reasoning; 2.1 Proofs & Arguments; 2.2 Proving Implications; 2.3 Writing a Proof; 2.4 Working with Quantifiers; 2.5 Using Cases; 2.6 Proof by Contradiction; 2.7 Mathematical Induction; 2.8 Axiomatic Systems; Review; 3 Sets - The Building Blocks; 3.1 Sets & Elements; 3.2 Operations on Sets 327 $a3.3 Multiple Unions & Intersections3.4 Cross Product; 3.5 Finite Sets; 3.6 Infinite Sets; Review; 4 Relations - The Action; 4.1 Relations; 4.2 Equivalence Relations; 4.3 Functions; 4.4 Order Relations; Review; Appendix A Selected Answers; Appendix B Glossary; Appendix C Symbols; Appendix D Suggested Readings; Index 330 $aLearn how to develop your reasoning skills and how to write well-reasoned proofsLearning to Reason shows you how to use the basic elements of mathematical language to develop highly sophisticated, logical reasoning skills. You'll get clear, concise, easy-to-follow instructions on the process of writing proofs, including the necessary reasoning techniques and syntax for constructing well-written arguments. Through in-depth coverage of logic, sets, and relations, Learning to Reason offers a meaningful, integrated view of modern mathematics, cuts through confusing terms and ideas, and pro 606 $aLogic, Symbolic and mathematical 606 $aProof theory 606 $aSet theory 615 0$aLogic, Symbolic and mathematical. 615 0$aProof theory. 615 0$aSet theory. 676 $a511.3 700 $aRodgers$b Nancy$f1941-$0993846 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911019235203321 996 $aLearning to reason$92275705 997 $aUNINA