Basic Set Theory (Student Mathematical Library, V. 17)

A. Shen,Nikolai Konstantinovich Vereshchagin,S. Shen

ISBN 10: 0821827316 / ISBN 13: 9780821827314

Verlag: American Mathematical Society, 2002

Beschreibung

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Bestandsnummer des Verkäufers S_389286907

Bibliografische Details

• Titel: Basic Set Theory (Student Mathematical Library, V. 17)
• Verlag: American Mathematical Society
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 0821827316
• ISBN-13: 9780821827314
• Einband: Paperback
• Zustand: Good

Über diesen Titel

Inhaltsangabe

The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in mathematical logic or set-theoretic topology. Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, even though it is sufficiently important, interesting, and simple to merit its own dedicated treatment.This book provides just that in the form of a leisurely exposition for a diversified audience. It is suitable for a broad range of readers, from undergraduate students to professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma. The text introduces all main subjects of ""naive"" (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, transfinite induction and its applications, ordinals, and operations on ordinals. Included are discussions and proofs of the Cantor-Bernstein Theorem, Cantor's diagonal method, Zorn's Lemma, Zermelo's Theorem, and Hamel bases. With over 150 problems, the book is a complete and accessible introduction to the subject.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.