Foundations of Mathematics (Revised) | Buch

Cover: 9780198706441 | Foundations of Mathematics (Revised) | Ian Stewart (u. a.) | Buch

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Beschreibung

The transition from school 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. This book bridges the divide.

Über den Autor

Ian Stewart is Emeritus Professor of Mathematics at the University of Warwick. He remains an active research mathematician and is a Fellow of the Royal Society. Famed for his popular science writing and broadcasting, for which he is the recipient of numerous awards, his bestselling books include: Does God Play Dice?, Nature's Numbers, and Professor Stewart's Cabinet of Mathematical Curiosities. He also co-authored The Science of Discworld series with Terry Pratchett and Jack Cohen

David Tall is Emeritus Professor of Mathematical Thinking at the University of Warwick. Internationally known for his contributions to mathematics education, his most recent book is How Humans Learn to Think Mathematically (2013).

Inhaltsverzeichnis

I: The Intuitive Background

1: Mathematical Thinking

2: Number Systems

II: The Beginnings of Formalisation

3: Sets

4: Relations

5: Functions

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

IV: Using Axiomatic Systems

12: Axiomatic Structures and Structure Theorems

13: Permutations and Groups

14: Infinite Cardinal Numbers

15: Infinitesimals

V: Strengthening the Foundations

16: Axioms for Set Theory

Details

Erscheinungsjahr:	2015
Fachbereich:	Grundlagen
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9780198706441
ISBN-10:	0198706448
Sprache:	Englisch
Einband:	Gebunden
Autor:	Stewart, Ian Tall, David
Auflage:	2nd Revised edition
Hersteller:	Oxford University Press (UK)
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	223 x 144 x 27 mm
Von/Mit:	Ian Stewart (u. a.)
Erscheinungsdatum:	01.05.2015
Gewicht:	0,587 kg

Artikel-ID: 121089984

Über den Autor

Inhaltsverzeichnis

I: The Intuitive Background

1: Mathematical Thinking

2: Number Systems

II: The Beginnings of Formalisation

3: Sets

4: Relations

5: Functions

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

IV: Using Axiomatic Systems

12: Axiomatic Structures and Structure Theorems

13: Permutations and Groups

14: Infinite Cardinal Numbers

15: Infinitesimals

V: Strengthening the Foundations

16: Axioms for Set Theory

Details

Erscheinungsjahr:	2015
Fachbereich:	Grundlagen
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9780198706441
ISBN-10:	0198706448
Sprache:	Englisch
Einband:	Gebunden
Autor:	Stewart, Ian Tall, David
Auflage:	2nd Revised edition
Hersteller:	Oxford University Press (UK)
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	223 x 144 x 27 mm
Von/Mit:	Ian Stewart (u. a.)
Erscheinungsdatum:	01.05.2015
Gewicht:	0,587 kg