Crash Course in Calculus over Banach Algebra (Russian Edition) - Softcover

Kleyn, Aleks

 
9781985668089: Crash Course in Calculus over Banach Algebra (Russian Edition)

Synopsis

I considered basic definitions of calculus over Banach D-algebra: derivative of the map, definite and indefinite integral.

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About the Author

The possibility of linear approximation of a map is at the heart of calculus and main constructions of calculus have their roots in linear algebra. The opposite statement may seem paradoxical. However, in 2008, when I realized that I could not solve the riddle of linear map in noncommutative algebra, I began to study noncommutative calculus, where linear maps emerge naturally. The results obtained later indicate that this was the only right step.

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