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Cover: 9781852330569 | Sets, Logic and Categories | Peter J. Cameron | Taschenbuch | X | 1999
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Sets, Logic and Categories
Taschenbuch von Peter J. Cameron
Sprache: Englisch

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Beschreibung
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.
Zusammenfassung

Peter Cameron is a well-known mathematician with an excellent reputation, both as a teacher and as a researcher.

The book proposal has had very good reviews and should sell well even though it is a high level text because of Cameron's reputation in the field.

The book is a third level text, but this is a relatively popular option for many mathematics students, not least because of the connection between this subject and computational science.

Includes supplementary material: [...]

Inhaltsverzeichnis
1. Naïve set theory.- 2. Ordinal numbers.- 3. Logic.- 4. First-order logic.- 5. Model theory.- 6. Axiomatic set theory.- 7. Categories.- 8. Where to from here?.- Solutions to selected exercises.- References.
Details
Erscheinungsjahr: 1999
Fachbereich: Grundlagen
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: x
182 S.
ISBN-13: 9781852330569
ISBN-10: 1852330562
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Cameron, Peter J.
Hersteller: Springer London
Springer-Verlag London Ltd.
Springer Undergraduate Mathematics Series
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 178 x 11 mm
Von/Mit: Peter J. Cameron
Erscheinungsdatum: 22.01.1999
Gewicht: 0,345 kg
Artikel-ID: 106799824
Zusammenfassung

Peter Cameron is a well-known mathematician with an excellent reputation, both as a teacher and as a researcher.

The book proposal has had very good reviews and should sell well even though it is a high level text because of Cameron's reputation in the field.

The book is a third level text, but this is a relatively popular option for many mathematics students, not least because of the connection between this subject and computational science.

Includes supplementary material: [...]

Inhaltsverzeichnis
1. Naïve set theory.- 2. Ordinal numbers.- 3. Logic.- 4. First-order logic.- 5. Model theory.- 6. Axiomatic set theory.- 7. Categories.- 8. Where to from here?.- Solutions to selected exercises.- References.
Details
Erscheinungsjahr: 1999
Fachbereich: Grundlagen
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: x
182 S.
ISBN-13: 9781852330569
ISBN-10: 1852330562
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Cameron, Peter J.
Hersteller: Springer London
Springer-Verlag London Ltd.
Springer Undergraduate Mathematics Series
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 178 x 11 mm
Von/Mit: Peter J. Cameron
Erscheinungsdatum: 22.01.1999
Gewicht: 0,345 kg
Artikel-ID: 106799824
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