Superanalysis

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The book explores the development of Grassmann algebra, particularly its application in algebraic superanalysis, which emerged through the contributions of mathematicians like F. A. Berezin and G. I. Kac. It highlights the distinction between traditional mathematical analysis and the newer framework that incorporates anticommuting variables, referred to as supermathematics. Despite its advancements, the text notes the continued reliance on Schwinger's formalism in physics and the perception of anticommuting functions as "real functions." The concept of superspace is introduced as a significant advancement in this field.