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In this book we introduce the main concepts of complex analysis as The Set of Complex Numbers, Euler's Formula, Polar Form, De Moivers Formula, Roots of Complex Numbers, Complex Functions, Limits of Complex Functions, Continuity of Complex Functions, Analytic Functions, Differentiation Rules, Cauchy- Riemann Equations, Elementary Complex Functions, Trigonometric Complex Functions, Hyperbolic Complex Functions, Logarithmic Complex Functions, Inverse Trigonometric Complex Functions and Inverse Hyperbolic Complex Functions, Mappings, Integration, Definite Integral, Line Integral, Theorems of...

In this book we consider the concept of generalized function in mathematics . We give a brief discussion of some known concepts and theorems like operations on a space of generalized function and the definition of Dirac delta function . Also we discuss why we need the spaces of new generalized functions, and we define some spaces of new generalized functions in which the operations of multiplication, Fourier transformation, and differentiation are defined . Ramadan