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The Continuum And Other Types Of Serial Order(1st Edition)

Authors:

Edward V Huntington

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Book details

ISBN: 0486815668, 978-0486815664

Book publisher: Dover

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Book Summary: "An Admirable Introduction To The Rigorous Theory Of The Continuum." — Science Progress"Extremely Readable . . . A Clear Axiomatically Constructed Introduction." — Elemente Der MathematikThis 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 Is Suitable For Advanced Undergraduates And Graduate Students In Mathematics And Requires No Knowledge Of Higher Mathematics. The Treatment Begins With A Historical Introduction, Followed By Chapters On Classes In General; Simply Ordered Classes, Or Series; Discrete Series, Especially The Type Of The Natural Numbers; And Dense Series, Especially The Type Of The Rational Numbers. Subsequent Chapters Explore 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. An Index Of Technical Terms Concludes The Text.