Sets: An Introduction

ISBN-13: 9780198533993 / Angielski / Miękka / 1991 / 254 str.

Michael D. Potter

Opis

A first course in set theory suitable for final year mathematics undergraduates. It develops the subject from first principles and covers the natural numbers, cardinals, ordinals, and the axiom of choice. It also provides an account of the representation theory of lattices and how this is closely connected with various forms of the axiom of choice.

Recenzje

'This text offers a new and interesting view of the foundations of mathematics, rigorously developed and written in a comprehensible style.' H. Mitsch, Monatshefte für Mathematik

Spis treści

Introduction: logic and language; Collections; Relations; Basic set theory; Numbers; Cardinals; Ordinals; The axiom of choice; Lattices; The prime ideal property; References; Index of notation; Index of terminology