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Synopsis
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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Synopsis
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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Basic Set Theory (Student Mathematical Library, V. 17)
Published by
American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Basic Set Theory
Published by
American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Basic Set Theory
Published by
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ISBN 10: 0821827316
ISBN 13: 9780821827314
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Basic Set Theory
Published by
American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Basic Set Theory (Student Mathematical Library, V. 17)
Published by
American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Basic Set Theory (Student Mathematical Library, V. 17)
Published by
Amer Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Basic Set Theory
Published by
American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Condition: 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. . . . . Seller Inventory # V9780821827314
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Basic Set Theory (Paperback)
Published by
American Mathematical Society, Providence, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Paperback. Condition: 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. Seller Inventory # 9780821827314
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Basic Set Theory
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Basic Set Theory
Published by
American Mathematical Society, 2002
ISBN 10: 0821827316
ISBN 13: 9780821827314
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Softcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
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Condition: 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. Seller Inventory # V9780821827314
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