The Theory of Sets of Points (Ams Chelsea Publishing) （2ND）

Young, W. H./ Young, Grace Chisholm

American Mathematical Society（2013/09発売）

• 製本 Hardcover:ハードカバー版／ページ数 326 p.
• 言語 ENG
• 商品コード 9781470409623

Full Description

From the Preface to the First Edition (1906): ``There are no definitely accepted landmarks in the didactic treatment of Georg Cantor's magnificent theory, which is the subject of the present volume. A few of the most modern books on the Theory of Functions devote some pages to the establishment of certain results belonging to our subject, and required for the special purposes in hand ... But we may fairly claim that the present work is the first attempt at a systematic exposition of the subject as a whole.''

In this second edition, notes have been added by I. Grattan-Guinness drawn from extensive annotations in the author's own copy. A further appendix has been added.

Contents

Rational and irrational numbers
Representation of numbers on the straight line
The descriptive theory of linear sets of points
Potency, and the generalised idea of a cardinal number
Content
Order
Cantor's numbers
Preliminary notions of plane sets
Regions and sets of regions
Curves
Potency of plane sets
Plane content and area
Length and linear content
Appendices
Bibliography
Index of proper names
General index