The Continuum and Other Types of Serial Order
eBook - ePub

The Continuum and Other Types of Serial Order

Edward V. Huntington

  1. 96 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Continuum and Other Types of Serial Order

Edward V. Huntington

Book details
Table of contents
Citations

About This Book

"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.

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Information

Publisher
Dover Publications
Year
2017
ISBN
9780486161075
Topic
Matematica
Subtopic
Matematica generale

Table of contents

  1. Cover
  2. Title page
  3. Copyright
  4. Preface to the Second Edition
  5. Contents
  6. Introduction
  7. Chapter I On Classes In General
  8. Chapter II On Simply Ordered Classes, Or Series
  9. Chapter III Discrete Series: Especially The Type ω Of The Natural Numbers
  10. Chapter IV Dense Series: Especially The Type η Of The Rational Numbers
  11. Chapter V Continuous Series: Especially The Type θ Of The Real Numbers
  12. Chapter VI Continuous Series Of More Than One Dimension, With A Note On Multiply Ordered Classes
  13. Chapter VII Well-Ordered Series, With An Introduction To Cantor’S Transfinite Numbers
  14. Index Of Technical Terms
Citation styles for The Continuum and Other Types of Serial Order

APA 6 Citation

Huntington, E. (2017). The Continuum and Other Types of Serial Order ([edition unavailable]). Dover Publications. Retrieved from https://www.perlego.com/book/510336/the-continuum-and-other-types-of-serial-order-pdf (Original work published 2017)

Chicago Citation

Huntington, Edward. (2017) 2017. The Continuum and Other Types of Serial Order. [Edition unavailable]. Dover Publications. https://www.perlego.com/book/510336/the-continuum-and-other-types-of-serial-order-pdf.

Harvard Citation

Huntington, E. (2017) The Continuum and Other Types of Serial Order. [edition unavailable]. Dover Publications. Available at: https://www.perlego.com/book/510336/the-continuum-and-other-types-of-serial-order-pdf (Accessed: 14 October 2022).

MLA 7 Citation

Huntington, Edward. The Continuum and Other Types of Serial Order. [edition unavailable]. Dover Publications, 2017. Web. 14 Oct. 2022.