Intermediate Set Theory
Seiten
1996
John Wiley & Sons Ltd (Verlag)
978-0-471-96494-0 (ISBN)
John Wiley & Sons Ltd (Verlag)
978-0-471-96494-0 (ISBN)
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This text covers first order logic and the main topics of set theory in a clear mathematical style with philosophical discussion. The emphasis is on presenting the use of set theory in various areas of mathematics.
This text covers first order logic and the main topics of set theory in a clear mathematical style with philosophical discussion. The emphasis is on presenting the use of set theory in various areas of mathematics, with particular attention paid to introducing axiomatic set theory, showing how the axioms are needed in mathematical practice and how they arise. Other areas introduced include the axiom of choice, filters and ideals. Exercises are provided which are suitable for both beginning students and degree level students.
This text covers first order logic and the main topics of set theory in a clear mathematical style with philosophical discussion. The emphasis is on presenting the use of set theory in various areas of mathematics, with particular attention paid to introducing axiomatic set theory, showing how the axioms are needed in mathematical practice and how they arise. Other areas introduced include the axiom of choice, filters and ideals. Exercises are provided which are suitable for both beginning students and degree level students.
Some of the History of the Concept of Sets; First Order Logic and its use in Set Theory; The Axioms of Set Theory; Cardinals; Developing Mathematics within ZFC; The Axiom of Choice; Constructible Sets, and Forcing; Miscellaneous Further Topics. Appendix: Some Basic Definitions.
| Erscheint lt. Verlag | 27.6.1996 |
|---|---|
| Zusatzinfo | Illustrations |
| Verlagsort | Chichester |
| Sprache | englisch |
| Maße | 154 x 234 mm |
| Gewicht | 520 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
| ISBN-10 | 0-471-96494-8 / 0471964948 |
| ISBN-13 | 978-0-471-96494-0 / 9780471964940 |
| Zustand | Neuware |
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