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Classic Set Theory

Classic Set Theory : For Guided Independent Study.

・ISBN 978-1-138-46691-3 2017 hard GB£ 235.00

￥74,448.- (税込) ※（※）価格はご注文時の参考価格となります。
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・ISBN 978-0-412-60610-6 1996 paper GB£ 91.99

￥29,142.- (税込) ※（※）価格はご注文時の参考価格となります。
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-315-13943-2

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著者・編者Goldrei, D.C.,
出版社(CRC Press, UK)
ページ数296 pp.
言語ENG
ニュース番号＜M25-3119＞

解説

Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:

  • The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers
  • Defining natural numbers in terms of sets
  • The potential paradoxes in set theory
  • The Zermelo-Fraenkel axioms for set theory
  • The axiom of choice
  • The arithmetic of ordered sets
  • Cantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.

    The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.

    Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.