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Titlebook: Nonstandard Analysis, Axiomatically; Vladimir Kanovei,Michael Reeken Book 2004 Springer-Verlag Berlin Heidelberg 2004 Nonstandard.ZFC.calc

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發(fā)表于 2025-3-21 17:57:45 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Nonstandard Analysis, Axiomatically
編輯Vladimir Kanovei,Michael Reeken
視頻videohttp://file.papertrans.cn/668/667899/667899.mp4
概述Includes supplementary material:
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Nonstandard Analysis, Axiomatically; Vladimir Kanovei,Michael Reeken Book 2004 Springer-Verlag Berlin Heidelberg 2004 Nonstandard.ZFC.calc
描述In the aftermath of the discoveries in foundations of mathematiC‘s there was surprisingly little effect on mathematics as a whole. If one looks at stan- dard textbooks in different mathematical disciplines, especially those closer to what is referred to as applied mathematics, there is little trace of those developments outside of mathematical logic and model theory. But it seems fair to say that there is a widespread conviction that the principles embodied in the Zermelo - Fraenkel theory with Choice (ZFC) are a correct description of the set theoretic underpinnings of mathematics. In most textbooks of the kind referred to above, there is, of course, no discussion of these matters, and set theory is assumed informally, although more advanced principles like Choice or sometimes Replacement are often mentioned explicitly. This implicitly fixes a point of view of the mathemat- ical universe which is at odds with the results in foundations. For example most mathematicians still take it for granted that the real number system is uniquely determined up to isomorphism, which is a correct point of view as long as one does not accept to look at "unnatural" interpretations of the membership
出版日期Book 2004
關(guān)鍵詞Nonstandard; ZFC; calculus; differential equation; forcing; foundations; model theory; problems; set theory
版次1
doihttps://doi.org/10.1007/978-3-662-08998-9
isbn_softcover978-3-642-06077-9
isbn_ebook978-3-662-08998-9Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag Berlin Heidelberg 2004
The information of publication is updating

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發(fā)表于 2025-3-21 21:46:10 | 只看該作者
Vladimir Kanovei,Michael Reekenuntries but even within them, while some of the enemy behaved as if they were the ones being liberated. Furthermore, as the GIs became better acquainted with country after country, they were aghast at the diversity, division, and discord that appeared to rule Europe.
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發(fā)表于 2025-3-22 01:56:34 | 只看該作者
Vladimir Kanovei,Michael Reekenuntries but even within them, while some of the enemy behaved as if they were the ones being liberated. Furthermore, as the GIs became better acquainted with country after country, they were aghast at the diversity, division, and discord that appeared to rule Europe.
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Vladimir Kanovei,Michael Reekenuntries but even within them, while some of the enemy behaved as if they were the ones being liberated. Furthermore, as the GIs became better acquainted with country after country, they were aghast at the diversity, division, and discord that appeared to rule Europe.
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Vladimir Kanovei,Michael Reekenorization, optimal vectorization of multiple statement loops, and synchronization problems with multi-tasking.Detailed Gantt charts are provided to guide the reader through the timing issues.?978-0-387-97089-9978-0-387-34787-5Series ISSN 0302-9743 Series E-ISSN 1611-3349
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發(fā)表于 2025-3-23 09:21:04 | 只看該作者
Vladimir Kanovei,Michael Reekenorization, optimal vectorization of multiple statement loops, and synchronization problems with multi-tasking.Detailed Gantt charts are provided to guide the reader through the timing issues.?978-0-387-97089-9978-0-387-34787-5Series ISSN 0302-9743 Series E-ISSN 1611-3349
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