The Continuum and Other Types of Serial Order : With an Introduction to Cantor's Transfinite Numbers / Edward V. Huntington.

Format:

Book

Author/Creator:

Huntington, Edward V., author.

Language:

English

Subjects (All):

Mathematik.

Set theory.

Transfinite numbers.

Local Subjects:

Set theory.

Physical Description:

1 online resource (89 p.)

Edition:

2nd ed. Reprint 2014

Place of Publication:

Cambridge, MA : Harvard University Press, [2014]

Language Note:

English

Summary:

This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, it requires no knowledge of higher mathematics. Includes 119 footnotes, mostly bibliographical. "An admirable introduction." -- "Science Progress." 1917 edition.

Contents:

Frontmatter

PREFACE TO THE SECOND EDITION

CONTENTS

INTRODUCTION

CHAPTER I. ON CLASSES IN GENERAL

CHAPTER II. GENERAL PROPERTIES OF SIMPLY ORDERED CLASSES OR SERIES

CHAPTER III. DISCRETE SERIES: ESPECIALLY THE TYPE ω OF THE NATURAL NUMBERS

CHAPTER IV. DENSE SERIES: ESPECIALLY THE TYPE η OF THE RATIONAL NUMBERS

CHAPTER V. CONTINUOUS SERIES: ESPECIALLY THE TYPE θ OF THE REAL NUMBERS

CHAPTER VI. CONTINUOUS SERIES OF MORE THAN ONE DIMENSION, WITH A NOTE ON MULTIPLY ORDERED CLASSES

CHAPTER VII. WELL-ORDERED SERIES, WITH AN INTRODUCTION TO CANTOR'S TRANSFINITE NUMBERS

INDEX OF TECHNICAL TERMS

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Mai 2019)

ISBN:

0-674-59910-1

OCLC:

979740277