By A. V. Kim
The version introduces a brand new category of invariant derivatives and indicates their relationships with different derivatives, comparable to the Sobolev generalized by-product and the generalized spinoff of the distribution thought. it is a new path in mathematics.
i-Smooth research is the department of useful research that considers the idea and purposes of the invariant derivatives of features and functionals. the $64000 path of i-smooth research is the research of the relation of invariant derivatives with the Sobolev generalized by-product and the generalized by-product of distribution theory.
Until now, i-smooth research has been built customarily to use to the idea of sensible differential equations, and the target of this ebook is to provide i-smooth research as a department of practical analysis. The thought of the invariant by-product (i-derivative) of nonlinear functionals has been brought in arithmetic, and this in flip constructed the corresponding i-smooth calculus of functionals and confirmed that for linear non-stop functionals the invariant by-product coincides with the generalized spinoff of the distribution theory. This e-book intends to introduce this concept to the final arithmetic, engineering, and physicist communities.
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