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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.
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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.
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Basic Set Theory (Student Mathematical Library, V. 17)
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American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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American Mathematical Society, 2002
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ISBN 13: 9780821827314
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Basic Set Theory
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American Mathematical Society, 2002
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ISBN 13: 9780821827314
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Zustand: New. Suitable for undergraduate students as well as professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma, this text introduces the main subjects of 'naive' (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, and operations on ordinals. Series: Student Mathematical Library. Num Pages: 128 pages, bibliography, index, glossary. BIC Classification: PBCH. Category: (P) Professional & Vocational. Dimension: 216 x 141 x 7. Weight in Grams: 164. . 2002. Paperback. . . . . Bestandsnummer des Verkäufers V9780821827314
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Basic Set Theory (Paperback)
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American Mathematical Society, Providence, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Paperback. Zustand: new. Paperback. 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 leisurely treatment. This book provides just that: 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. The text introduces all main subjects of "naive" 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780821827314
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Basic Set Theory
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Basic Set Theory
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American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Zustand: New. Suitable for undergraduate students as well as professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma, this text introduces the main subjects of 'naive' (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, and operations on ordinals. Series: Student Mathematical Library. Num Pages: 128 pages, bibliography, index, glossary. BIC Classification: PBCH. Category: (P) Professional & Vocational. Dimension: 216 x 141 x 7. Weight in Grams: 164. . 2002. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821827314
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Basic Set Theory
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American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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