复变函数与积分变换（Complex function and integral transform）.docVIP

复变函数与积分变换（Complex function and integral transform） The complex concept originated in the equation for the root, in the two and three algebraic equation in negative square case. In a very long time, peoples understanding of this kind of not. But with the development of mathematics, the importance of such number is increasingly apparent. The general form of complex number is: a+bi, where I is the imaginary unit. In the plural as independent variable function is called a complex function, and the related theory is the theory of complex functions. The analytic function is a function with analytic properties of a function of complex variable, the research of analytic functions on the complex field of complex function theory, it is also known as the theory of functions of a complex variable analytic function theory. The complex variable function theory. The complex function in eighteenth Century. In 1774, Euler considered two integral equations derived by the complex function in his paper. Rather than his earlier, the French mathematician Darren Bell in his thesis on fluid mechanics, have got them. Therefore, people later mentioned the two equations, called them Dalembert Euler equation. By nineteenth Century, the two Cauchy and Riemann equations in fluid mechanics research, made a more detailed study, so the two equation is also called the Cauchy - Riemann conditions. The comprehensive development of complex function theory in nineteenth Century, direct expansion like calculus dominated the eighteenth Century mathematics that dominated the nineteenth Century function of this new branch of complex mathematics. At that time, mathematicians accepted complex function theory is a branch of mathematics called the most fertile, and enjoy this century mathematics, also praised it is one of the most harmonious theory in science abstract. Did the early work to create the theory of complex function is Euler, Darren Bell, Laplasse of France also subsequently studied the integral of