Discovering Modern Set Theory, Part 1
The Basics
1995
American Mathematical Society (Verlag)
978-0-8218-0266-3 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0266-3 (ISBN)
Presents an introduction to set theory for beginning graduate students who want to get a grounding in those aspects of set theory used extensively throughout other areas of mathematics. This book contains topics that include formal languages and models, the power and limitation of the Axiomatic Method, and the Axiom of Choice.
This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating Banach-Tarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for self-study.
This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating Banach-Tarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for self-study.
Introduction Pairs, relations, and functions Partial order relations Cardinality Induction Formal languages and models Power and limitations of the axiomatic method The axioms Classes Versions of the axiom of choice The ordinals The cardinals Pictures of the universe Subject index Index of notation.
| Erscheint lt. Verlag | 1.3.1996 |
|---|---|
| Reihe/Serie | Graduate Studies in Mathematics |
| Zusatzinfo | Illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 571 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
| ISBN-10 | 0-8218-0266-6 / 0821802666 |
| ISBN-13 | 978-0-8218-0266-3 / 9780821802663 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
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