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Titlebook: Introduction to Axiomatic Set Theory; Gaisi Takeuti,Wilson M. Zaring Textbook 1982Latest edition Springer-Verlag New York Inc. 1982 Cardin

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發(fā)表于 2025-3-21 20:06:15 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Introduction to Axiomatic Set Theory
編輯Gaisi Takeuti,Wilson M. Zaring
視頻videohttp://file.papertrans.cn/474/473453/473453.mp4
叢書(shū)名稱(chēng)Graduate Texts in Mathematics
圖書(shū)封面Titlebook: Introduction to Axiomatic Set Theory; Gaisi Takeuti,Wilson M. Zaring Textbook 1982Latest edition Springer-Verlag New York Inc. 1982 Cardin
描述In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel‘s work on the con- sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen‘s work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high- lighted, and second, the student who wishes to master the subject is com- pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.
出版日期Textbook 1982Latest edition
關(guān)鍵詞Cardinal number; arithmetic; axiom of choice; bridge; class; development; forcing; object; set; set theory; ti
版次2
doihttps://doi.org/10.1007/978-1-4613-8168-6
isbn_softcover978-1-4613-8170-9
isbn_ebook978-1-4613-8168-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York Inc. 1982
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板凳
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Gaisi Takeuti,Wilson M. Zaring intended to provide graduate students?and researchers in graph theory with an overview of the elementary methods of graph Ramsey theory. It is especially targeted towards graduate students in extremal graph theory, graph Ramsey theory, and related fields, as the included contents?allow the text to
地板
發(fā)表于 2025-3-22 08:26:00 | 只看該作者
Gaisi Takeuti,Wilson M. Zaring already, though it may not have been treated as formally as here. There are several good reasons for giving very precise definitions and proofs, even when there is general agreement about the validity of the mathematics involved. The first is that ‘general agreement’ is not the same as convincing p
5#
發(fā)表于 2025-3-22 11:44:51 | 只看該作者
Gaisi Takeuti,Wilson M. Zaring already, though it may not have been treated as formally as here. There are several good reasons for giving very precise definitions and proofs, even when there is general agreement about the validity of the mathematics involved. The first is that ‘general agreement’ is not the same as convincing p
6#
發(fā)表于 2025-3-22 14:09:28 | 只看該作者
7#
發(fā)表于 2025-3-22 19:11:14 | 只看該作者
Gaisi Takeuti,Wilson M. Zaringrete problems leads, as we have discussed in § 1.2, to devise .; they in turn pose the question of developing computing procedures, which may be very complex, but that in any case result in the solution of the studied problem in finitely many steps. Such a procedure is called an ., from the name of
8#
發(fā)表于 2025-3-23 00:36:46 | 只看該作者
Gaisi Takeuti,Wilson M. Zaringgr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, whi
9#
發(fā)表于 2025-3-23 05:14:14 | 只看該作者
10#
發(fā)表于 2025-3-23 08:43:10 | 只看該作者
Gaisi Takeuti,Wilson M. Zaringourses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts
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