to Convex and Quasiconvex Analysis -- Criteria for Generalized Convexity and Generalized Monotonicity in the Differentiable Case -- Continuity and Differentiability of Quasiconvex Functions -- Generalized Convexity and Optimality Conditions in Scalar and Vector Optimization -- Generalized Convexity in Vector Optimization -- Generalized Convex Duality and its Economic Applicatons -- Abstract Con…
Global Smoothness Preservation, Univariate Case -- Partial Shape Preservation, Univariate Case -- Global Smoothness Preservation, Bivariate Case -- Partial Shape Preservation, Bivariate Case.This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the u…
to MuPAD -- Mathematical graphics with MuPAD -- to calculus of one variable -- Multivariable calculus -- Algebra with MuPAD -- Data visualization and elementary statistics -- A brief introduction to programming.The world of mathematics is probably one of the most fascinating creations of mankind. The world of mathematics with a Computer Algebra System, like MuPAD, is even more fascinating. With…
Theory of Calculus in One Real Variable -- Metric Spaces -- Theory of Calculus in Several Real Variables -- Theory of Ordinary Differential Equations and Systems -- Lebesgue Measure and Abstract Measure Theory -- Measure Theory for Euclidean Space -- Differentiation of Lebesgue Integrals on the Line -- Fourier Transform in Euclidean Space -- Lp Spaces -- Topological Spaces -- Integration on Loc…
Differential and Integral Calculus -- The Riemann Integral -- Integrability Conditions -- The “Fundamental Theorem” (FT) -- Integration by parts -- Taylor’s Formula -- The change of variable formula -- Generalised Riemann integrals -- Approximation Theorems -- Radon measures in ? or ? -- Schwartz distributions -- Asymptotic Analysis -- Truncated expansions -- Summation formulae -- Harmoni…