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Titlebook: Nonstandard Analysis and Vector Lattices; S. S. Kutateladze Book 2000 Springer Science+Business Media Dordrecht 2000 functional analysis.m

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發(fā)表于 2025-3-21 19:18:18 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Nonstandard Analysis and Vector Lattices
編輯S. S. Kutateladze
視頻videohttp://file.papertrans.cn/668/667895/667895.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Nonstandard Analysis and Vector Lattices;  S. S. Kutateladze Book 2000 Springer Science+Business Media Dordrecht 2000 functional analysis.m
描述Nonstandard methods of analysis consist generally in comparative study of two interpretations of a mathematical claim or construction given as a formal symbolic expression by means of two different set-theoretic models: one, a "standard" model and the other, a "nonstandard" model. The second half of the twentieth century is a period of significant progress in these methods and their rapid development in a few directions. The first of the latter appears often under the name coined by its inventor, A. Robinson. This memorable but slightly presumptuous and defiant term, non- standard analysis, often swaps places with the term Robinsonian or classical non- standard analysis. The characteristic feature of Robinsonian analysis is a frequent usage of many controversial concepts appealing to the actual infinitely small and infinitely large quantities that have resided happily in natural sciences from ancient times but were strictly forbidden in modern mathematics for many decades. The present-day achievements revive the forgotten term infinitesimal analysis which reminds us expressively of the heroic bygones of Calculus. Infinitesimal analysis expands rapidly, bringing about radical recons
出版日期Book 2000
關(guān)鍵詞functional analysis; mathematical logic; set theory
版次1
doihttps://doi.org/10.1007/978-94-011-4305-9
isbn_softcover978-94-010-5863-6
isbn_ebook978-94-011-4305-9
copyrightSpringer Science+Business Media Dordrecht 2000
The information of publication is updating

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發(fā)表于 2025-3-21 22:25:55 | 只看該作者
Book 2000l symbolic expression by means of two different set-theoretic models: one, a "standard" model and the other, a "nonstandard" model. The second half of the twentieth century is a period of significant progress in these methods and their rapid development in a few directions. The first of the latter a
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Nonstandard Methods and Kantorovich Spaces,of the century, the tendency towards drastic reorganization of mathematics has revealed itself since these years. This led to the creation of a number of new mathematical subjects, functional analysis among the first. Nowadays we realize an exceptional place of the seventies framed sweeping changes
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A. G. Kusraev,S. S. Kutateladze what makes excellent presenters such as Brian Cox, Jane Goodall, Richard Feynman, and Jill Bolte Taylor so strong. In addition, the book explains what causes so many scientific presentations to flounder..One of the most valuable contributions of this text is that it teaches the assertion-evidence a
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A. E. Gutman,A. V. Koptev what makes excellent presenters such as Brian Cox, Jane Goodall, Richard Feynman, and Jill Bolte Taylor so strong. In addition, the book explains what causes so many scientific presentations to flounder..One of the most valuable contributions of this text is that it teaches the assertion-evidence a
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