Andrei Y Khrennikov

(Author)

Superanalysis (Softcover Reprint of the Original 1st 1999)Paperback - Softcover Reprint of the Original 1st 1999, 11 October 2012

Superanalysis (Softcover Reprint of the Original 1st 1999)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
357 pages
Language
English
Publisher
Springer
Date Published
11 Oct 2012
ISBN-10
9401059489
ISBN-13
9789401059480

Description

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 still used in practically all physical works, on an intuitive level, and physicists regarded functions of anticommuting variables as "real functions" == maps of sets and not as elements of Grassmann algebras. In 1974, Salam and Strathdee proposed a very apt name for a set of super- points. They called this set a superspace.

Product Details

Author:
Andrei Y Khrennikov
Book Edition:
Softcover Reprint of the Original 1st 1999
Book Format:
Paperback
Country of Origin:
NL
Date Published:
11 October 2012
Dimensions:
23.39 x 15.6 x 1.96 cm
ISBN-10:
9401059489
ISBN-13:
9789401059480
Language:
English
Location:
Dordrecht
Pages:
357
Publisher:
Weight:
521.63 gm

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