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Superanalysis

Autoren

Andrei Khrennikov

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Seitenzahl: 372 Seiten
Lesezeit: 14 Stunden

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The book delves into the development of Grassmann algebra, particularly focusing on anticommuting generators and their derivatives, highlighting Martin's innovative approach that diverged from traditional Newtonian analysis. It discusses the significant contributions of mathematicians like Berezin and Kac in forming algebraic superanalysis, leading to the emergence of supermathematics. Despite advancements in this field, the text notes the ongoing reliance on Schwinger's formalism in physics, where anticommuting variables are often treated as "real functions." The concept of superspace, introduced by Salam and Strathdee, is also explored.

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Superanalysis, Andrei Khrennikov

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Erscheinungsdatum: 2012
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Titel: Superanalysis
Sprache: Englisch
Autor*innen: Andrei Khrennikov
Verlag: Springer Netherlands
Erscheinungsdatum: 2012
Einband: Paperback
Seitenzahl: 372
ISBN13: 9789401059480
Schlagwörter: Natur, Tiere, Natur, Mathematik
Beschreibung: The book delves into the development of Grassmann algebra, particularly focusing on anticommuting generators and their derivatives, highlighting Martin's innovative approach that diverged from traditional Newtonian analysis. It discusses the significant contributions of mathematicians like Berezin and Kac in forming algebraic superanalysis, leading to the emergence of supermathematics. Despite advancements in this field, the text notes the ongoing reliance on Schwinger's formalism in physics, where anticommuting variables are often treated as "real functions." The concept of superspace, introduced by Salam and Strathdee, is also explored.