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Item #:
138845415
Basic Set Theory (Student Mathematical Library, V. 17)
Item #:
138845415
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Basic set theory is fundamental to all mathematicians, making this book a leisurely exposition suitable for a broad range of readers.
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- 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.
| Publisher | American Mathematical Society |
| Publication date | July 9, 2002 |
| Language | English |
| Print length | 116 pages |
| ISBN-10 | 0821827316 |
| ISBN-13 | 978-0821827314 |
| Item Weight | 4.8 ounces (136.08 grams) |
| Dimensions | 5.25 x 0.25 x 8 inches (13.3 x 0.6 x 20.3 cm) |
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Basic Set Theory (Student Mathematical Library, V. 17)
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Features & Benefits
- Comprehensive introduction to basic set theory concepts.
- Suitable for undergraduate students and professional mathematicians.
- Covers key topics like cardinals, ordinals, and transfinite induction.
- Includes discussions on important theorems such as Zorn's Lemma.
- Over 150 problems for practical understanding and application.
- Accessible for readers from diverse mathematical backgrounds.
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