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Special Topics:Complex Analysis

Complex number originally were developed as a means of solving algebraic equations that did not have roots in the real numbers (such as x^2 = -3). They have since become an extremely rich and important part of mathematics as a whole. The set of complex numbers can be identified 2-dimensional plane of points, R^2, where the point (x,y) is the complex number x + iy (where i is one of the solutions to the equation x^2 = -1); this is called the complex plane, C. The geometry of the complex plane is both beautiful and intricate. A map F

Images:

1. [Square Stretched Over Sphere] 2. [Weierstrass P-function] 3. [Wild Complex Function]

  1. Square Stretched Over Sphere
  2. Weierstrass P-function
  3. Wild Complex Function
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