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Titlebook: Hypernumbers and Extrafunctions; Extending the Classi Mark Burgin Book 2012 Mark Burgin 2012 differentiation.extrafuntion.hypernumber.integ

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發(fā)表于 2025-3-21 19:19:06 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Hypernumbers and Extrafunctions
副標(biāo)題Extending the Classi
編輯Mark Burgin
視頻videohttp://file.papertrans.cn/431/430668/430668.mp4
概述Designed to introduce the reader to hypernumbers and extrafunctions, which is another rigorous mathematical approach to operations with infinite values.Shows that even in the most standard case of rea
叢書(shū)名稱SpringerBriefs in Mathematics
圖書(shū)封面Titlebook: Hypernumbers and Extrafunctions; Extending the Classi Mark Burgin Book 2012 Mark Burgin 2012 differentiation.extrafuntion.hypernumber.integ
描述.“Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a conventional function but also the concept of a distribution. Extrafucntions have been also efficiently used for a rigorous mathematical definition of the. .Feynman path integral, as well as for solving some problems in probability theory, which is also important for contemporary physics. .This book introduces a new theory that includes the theory of distributions?as a subtheory, providing more powerful?tools for mathematics?and?its?applications. Specifically,?it?makes it possible to solve PDE for which it is proved that they do not have solutions ?in?distributions. Also illustrated in this text is how this new theory allows the differentiation and integration of any real function. This text can?be used for enhancing traditional courses of calculus for undergraduates, as well as for teaching a
出版日期Book 2012
關(guān)鍵詞differentiation; extrafuntion; hypernumber; integration; topology; partial differential equations
版次1
doihttps://doi.org/10.1007/978-1-4419-9875-0
isbn_softcover978-1-4419-9874-3
isbn_ebook978-1-4419-9875-0Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightMark Burgin 2012
The information of publication is updating

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How to Differentiate Any Real Function,y of approximations are presented. We consider approximations of two types: approximations of a point by pairs of points, which are called A-approximations and used for differentiation, and approximations of topological spaces by their subspaces, which are called B-approximations and used for integr
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cating, and self-cleaning materials with applications to gre.Biomimetics in Materials Science. provides a comprehensive theoretical and practical review of biomimetic materials with self-healing, self-lubricating and self-cleaning properties. These three topics are closely related and constitute rap
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Mark Burgincating, and self-cleaning materials with applications to gre.Biomimetics in Materials Science. provides a comprehensive theoretical and practical review of biomimetic materials with self-healing, self-lubricating and self-cleaning properties. These three topics are closely related and constitute rap
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Mark Burgincating, and self-cleaning materials with applications to gre.Biomimetics in Materials Science. provides a comprehensive theoretical and practical review of biomimetic materials with self-healing, self-lubricating and self-cleaning properties. These three topics are closely related and constitute rap
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Mark Burgincating, and self-cleaning materials with applications to gre.Biomimetics in Materials Science. provides a comprehensive theoretical and practical review of biomimetic materials with self-healing, self-lubricating and self-cleaning properties. These three topics are closely related and constitute rap
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