i-Smooth Analysis: Theory and Applications
A. V. Kim
i-SMOOTH ANALYSIS
A totally new direction in mathematics, this revolutionary new study introduces a new class of invariant derivatives of functions and establishes relations with other derivatives, such as the Sobolev generalized derivative and the generalized derivative of the distribution theory.
i-smooth analysis is the branch of functional analysis that considers the theory and applications of the invariant derivatives of functions and functionals. The important direction of i-smooth analysis is the investigation of the relation of invariant derivatives with the Sobolev generalized derivative and the generalized derivative of distribution theory.
Until now, i-smooth analysis has been developed mainly to apply ... Read more
i-Smooth Analysis: Theory and Applications
- Introduces a new class of derivatives of functions and functionals, a revolutionary new approach
- Establishes a relationship with the generalized Sobolev derivative and the generalized derivative of the distribution theory
- Presents the complete theory of i-smooth analysis
- Contains the theory of FDE numerical method, based on i-smooth analysis
- Explores a new direction of i-smooth analysis, the theory of the invariant derivative of functions
- Is of interest to all mathematicians, engineers studying processes with delays, and physicists who study hereditary phenomena in nature.
AUDIENCE
Mathematicians, applied mathematicians, engineers , physicists, students in mathematics
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About A. V. Kim
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