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Classic Set Theory: For Guided Independent Study - Hardcover

Goldrei, D. C.

 
9781138466913: Classic Set Theory: For Guided Independent Study
Hardcover
ISBN 10: 1138466913 ISBN 13: 9781138466913
Verlag: Chapman and Hall/CRC, 2017

Inhaltsangabe

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.

    • Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Über die Autorin bzw. den Autor

    Goldrei, D.C.

    „Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Verlag
    Chapman and Hall/CRC
    Erscheinungsdatum
    2017
    Sprache
    Englisch
    ISBN 10 
    1138466913
    ISBN 13 
    9781138466913
    Einband
    Gebundene Ausgabe
    Auflage
    1
    Anzahl der Seiten
    296
    Kontakt zum Hersteller
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