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100   $a20150302h20152015  uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe foundations of mathematics /$fIan Stewart and David Tall
205   $aSecond edition.
210  1$aNew York, New York :$cOxford University Press,$d2015.
210  4$dİ2015
215   $a1 online resource (409 p.)
300   $aDescription based upon print version of record.
311   $a1-322-97551-5 
311   $a0-19-870643-X 
320   $aIncludes bibliographical references and index.
327   $a""Cover ""; ""Preface to the Second Edition""; ""Preface to the First Edition""; ""Contents""; ""Part I The Intuitive Background""; ""1 Mathematical Thinking""; ""2 Number Systems""; ""Part II The Beginnings of Formalisation""; ""3 Sets""; ""4 Relations""; ""5 Functions""; ""6 Mathematical Logic""; ""7 Mathematical Proof""; ""Part III The Development of Axiomatic Systems""; ""8 Natural Numbers and Proof by Induction""; ""9 Real Numbers""; ""10 Real Numbers as a Complete Ordered Field""; ""11 Complex Numbers and Beyond""; ""Part IV Using Axiomatic Systems""
327   $a""12 Axiomatic Systems, Structure Theorems, and Flexible Thinking""""13 Permutations and Groups""; ""14 Cardinal Numbers""; ""15 Infinitesimals""; ""Part V Strengthening the Foundations""; ""16 Axioms for Set Theory""; "" Appendixa???How to Read Proofs: The 'Self-Explanation' Strategy""; "" References and Further Reading""; "" Index""
330   $aThe transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on stude
606   $aMathematics
606   $aLogic, Symbolic and mathematical
608   $aElectronic books.
615  0$aMathematics.
615  0$aLogic, Symbolic and mathematical.
676   $a510
700   $aStewart$b Ian$f1945-$0447732
702   $aTall$b David Orme
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910460462103321
996   $aThe foundations of mathematics$92285154
997   $aUNINA