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[null,"1.","Record Nr.",null,"UNINA9910460462103321"]
[null,null,"Autore",null,"Stewart Ian <1945->"]
[null,null,"Titolo",null,"The foundations of mathematics / / Ian Stewart and David Tall"]
[null,null,"Pubbl/distr/stampa",null,"New York, New York : , : Oxford University Press, , 2015"]
[{"$nulls":4},"©2015"]
[null,null,"ISBN",null,"0-19-870644-8"]
[{"$nulls":4},"0-19-101647-0"]
[null,null,"Edizione",null,"[Second edition.]"]
[null,null,"Descrizione fisica",null,"1 online resource (409 p.)"]
[null,null,"Disciplina",null,"510"]
[null,null,"Soggetti",null,"Mathematics"]
[{"$nulls":4},"Logic, Symbolic and mathematical"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"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\"\"; \"\" Appendixâ€?How to Read Proofs: The 'Self-Explanation' Strategy\"\"; \"\" References and Further Reading\"\"; \"\" Index\"\""]
[null,null,null,"Sommario/riassunto","The 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"]