AMS Chelsea Publishing 1972; 326 pp; hardcover ISBN10: 0828402590 ISBN13: 9780828402590 List Price: US$41 Member Price: US$36.90 Order Code: CHEL/259
 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. GrattanGuinness drawn from extensive annotations in the author's own copy. A further appendix has been added. Readership Graduate students and research mathematicians. Table of 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
