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The foundations of mathematics /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Oxford University Press,
[2015]
|
| Edición: | Second edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Stewart, Ian, |d 1945- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJwxKxy4pkRvpGWF86gR8C | |
| 245 | 1 | 4 | |a The foundations of mathematics / |c Ian Stewart and David Tall. |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Oxford : |b Oxford University Press, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (xvi, 391 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Vendor-supplied metadata. | |
| 505 | 0 | |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; 12 Axiomatic Systems, Structure Theorems, and Flexible Thinking; 13 Permutations and Groups; 14 Cardinal Numbers. | |
| 505 | 8 | |a 15 InfinitesimalsPart V Strengthening the Foundations; 16 Axioms for Set Theory; Appendix-How to Read Proofs: The 'Self-Explanation' Strategy; References and Further Reading; Index. | |
| 520 | |a 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. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Logic, Symbolic and mathematical. | |
| 650 | 6 | |a Logique symbolique et mathématique. | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Logic, Symbolic and mathematical |2 fast | |
| 650 | 7 | |a Axiomatik |2 gnd | |
| 653 | 0 | |a Logic, Symbolic and mathematical | |
| 700 | 1 | |a Tall, David Orme, |e author. | |
| 758 | |i has work: |a The foundations of mathematics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGqykvdWvxh73KbmRj6D7b |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Stewart, Ian. |t Foundations of Mathematics. |d Oxford : Oxford University Press, ©2015 |z 9780198706434 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1961795 |z Texto completo |
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