Inhaltsangabe
Based on undergraduate lectures delivered at Moscow State University, this textbook introduces the main principles of set theory. The slim volume covers cardinalities, ordered sets, transfinite induction, and ordinals. Originally published in Russian in 1999. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Basic Set Theory (Student Mathematical Library, V. 17)
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American Mathematical Society, 2002
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Basic Set Theory (Student Mathematical Library, V. 17)
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Basic Set Theory
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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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ISBN 10: 0821827316
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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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American Mathematical Society, 2002
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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 (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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9780821827314
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