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Titlebook: Asymptotology; Ideas, Methods, and Igor V. Andrianov,Leonid I. Manevitch,Michiel Haze Book 2002 Springer Science+Business Media Dordrecht

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发表于 2025-3-21 19:10:26 | 显示全部楼层 |阅读模式
期刊全称Asymptotology
期刊简称Ideas, Methods, and
影响因子2023Igor V. Andrianov,Leonid I. Manevitch,Michiel Haze
视频video
学科分类Mathematics and Its Applications
图书封面Titlebook: Asymptotology; Ideas, Methods, and  Igor V. Andrianov,Leonid I. Manevitch,Michiel Haze Book 2002 Springer Science+Business Media Dordrecht
影响因子Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in me­ chanics, physics and other exact sciences for many, many decades. But more than this, asymptotic ideas are found in all branches of human knowledge, indeed in all areas of life. In this broader context they have not and perhaps cannot be fully formalized. However, they are mar­ velous, they leave room for fantasy, guesses and intuition; they bring us very near to the border of the realm of art. Many books have been written and published about asymptotic meth­ ods. Most of them presume a mathematically sophisticated reader. The authors here attempt to describe asymptotic methods on a more accessi­ ble level, hoping to address a wider range of readers. They have avoided the extreme of banishing formulae entirely, as done in some popular science books that attempt to describe mathematical methods with no mathematics. This is impossible (and not wise). Rather, the authors have tried to keep the mathematics at a moderate level. At the same time, using simple examples, they think they have been able to illustrate all the key ideas of asymptotic methods and
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发表于 2025-3-21 20:38:27 | 显示全部楼层
Book 2002empt to describe mathematical methods with no mathematics. This is impossible (and not wise). Rather, the authors have tried to keep the mathematics at a moderate level. At the same time, using simple examples, they think they have been able to illustrate all the key ideas of asymptotic methods and
发表于 2025-3-22 02:05:13 | 显示全部楼层
s that attempt to describe mathematical methods with no mathematics. This is impossible (and not wise). Rather, the authors have tried to keep the mathematics at a moderate level. At the same time, using simple examples, they think they have been able to illustrate all the key ideas of asymptotic methods and 978-1-4613-4816-0978-1-4419-9162-1
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A Little Mathematics, as to say what is mathematics” (de Bruijn, 1981). Below we will treat — with a definite measure of uncertainty — asymptotic simplification as a simplification which is obtained as a result of one or another limit transition. An asymptotic solution of a problem may be conventionally divided into thr
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How Asymptotic Methods Work,ws, there will still be in the years ahead the intellectually challenging task of developing better approximation methods, so that we can make useful predictions of the probable outcomes in complicated and realistic situations. A complete, consistent, unified theory is only a first step: our goal is
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Phenomenology and First Principles,simple fundamental formalism, attempt to explain the more complex phenomena... Theories of principle, on the other hand, are based on empirically discovered general properties of natural processes, on principles from which mathematically formulated criteria follow and the individual processes or the
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