The Theory of Sets of Points
American Mathematical Society (Publisher)
2nd Edition
Published on 30. September 2013
Book
Hardback
326 pages
978-1-4704-0962-3 (ISBN)
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.
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.
More details
Series
Edition
Second Edition
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Edition type
New edition
Dimensions
Height: 229 mm
Width: 152 mm
Weight
500 gr
ISBN-13
978-1-4704-0962-3 (9781470409623)
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Schweitzer Classification
Content
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
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