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The Fractals and Chaos theory is actually a modern mathematical theory included in the dynamical systems theory. The book is also structured in two parts entitled: Fractals and Chaos. The book is an accessible modern introduction in the dynamical systems theory. We introduced a definition of fractals based on the uniform convergence of the function sequences and the fractional attractors are defined with the aid of power series. Numerous examples are given in MAPLE, MATHEMATICA. Some programs was inspired from the Mapllesoft and Wolffram web pages.