The Continuum and Other Types of Serial Order
Edward V. Huntington
- 96 páginas
- English
- ePUB (apto para móviles)
- Disponible en iOS y Android
The Continuum and Other Types of Serial Order
Edward V. Huntington
Información del libro
"An admirable introduction to the rigorous theory of the continuum."— Science Progress "Extremely readable... a clear axiomatically constructed introduction."— Elemente der Mathematik 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, this text requires no knowledge of higher mathematics. Contents include a historical introduction and chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; dense series, especially the type of the rational numbers; continuous series, especially the type of the real numbers; continuous series of more than one dimension, with a note on multiply ordered classes; and well ordered series, with an introduction to Cantor's transfinite numbers. 1917 edition. 119 footnotes, mostly bibliographical.
Preguntas frecuentes
Información
Índice
- Cover
- Title page
- Copyright
- Preface to the Second Edition
- Contents
- Introduction
- Chapter I On Classes In General
- Chapter II On 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