The foundations of mathematics / / Ian Stewart and David Tall
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Stewart Ian <1945->
|
| Titolo: |
The foundations of mathematics / / Ian Stewart and David Tall
|
| Pubblicazione: | New York, New York : , : Oxford University Press, , 2015 |
| ©2015 | |
| Edizione: | Second edition. |
| Descrizione fisica: | 1 online resource (409 p.) |
| Disciplina: | 510 |
| Soggetto topico: | Mathematics |
| Logic, Symbolic and mathematical | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | TallDavid Orme |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | ""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"" |
| ""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""; "" Appendix�How to Read Proofs: The 'Self-Explanation' Strategy""; "" References and Further Reading""; "" Index"" | |
| 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 |
| Titolo autorizzato: | The foundations of mathematics |
| ISBN: | 0-19-870644-8 |
| 0-19-101647-0 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910460462103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |