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The Continuum And Other Types Of Serial Order: Second Editio

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Book Details

  • Author: Huntington, Edward V.

  • Brand: Dover

  • Edition: Reprint

  • Binding: Paperback

  • Number of Pages: 82

  • Release Date: 15-08-2017

  • Languages: English

  • ISBN: 9780486815664

About The Book
Edward V. Huntington’s classic work is a clear and comprehensive introduction to the modern theory of the continuum, particularly focusing on its representation as a type of serial order. Aimed at advanced undergraduates and graduate students in mathematics, this book is a rigorous yet accessible exploration of Dedekind-Cantor ordinal theory, which serves as the foundation of the continuum theory.
The text begins with a historical overview before delving into topics such as discrete series (e.g., natural numbers), dense series (e.g., rational numbers), and continuous series (e.g., real numbers). Further chapters expand into multidimensional continuous series and introduce Cantor’s transfinite numbers. The book concludes with an index of technical terms, making it a comprehensive and valuable resource for those studying mathematical theory.