| 书目名称 | Superanalysis | | 编辑 | Andrei Khrennikov | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | defined as elements of Grassmann algebra (an algebra with anticom muting generators). The derivatives of these elements with respect to anticommuting generators were defined according to algebraic laws, and nothing like Newton‘s analysis arose when Martin‘s approach was used. Later, during the next twenty years, the algebraic apparatus de veloped by Martin was used in all mathematical works. We must point out here the considerable contribution made by F. A. Berezin, G 1. Kac, D. A. Leites, B. Kostant. In their works, they constructed a new division of mathematics which can naturally be called an algebraic superanalysis. Following the example of physicists, researchers called the investigations carried out with the use of commuting and anticom muting coordinates supermathematics; all mathematical objects that appeared in supermathematics were called superobjects, although, of course, there is nothing "super" in supermathematics. However, despite the great achievements in algebraic superanaly sis, this formalism could not be regarded as a generalization to the case of commuting and anticommuting variables from the ordinary Newton analysis. What is more, Schwinger‘s formalism was | | 出版日期 | Book 1999 | | 关键词 | Banach algebra; calculus; derivative; differential equation; functional analysis; mechanics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-4609-8 | | isbn_softcover | 978-94-010-5948-0 | | isbn_ebook | 978-94-011-4609-8 | | copyright | Springer Science+Business Media Dordrecht 1999 |
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发表于 2025-3-21 19:53:39
