Transcription of 1 Basics of Series and Complex Numbers - Madison
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1 Basics of Series and Complex Numbers - Madison
C FW Math 321, 2012/12/11 Elements of Complex Calculus 1 Basics of Series and Complex Numbers algebra of Complex Numbers A Complex number z = x + iy is composed of a real part <(z) = x and an imaginary part =(z) = y, both of which are real Numbers , x, y R. Complex Numbers can be defined as pairs of real Numbers (x, y) with special manipulation rules. That's how Complex Numbers are defined in Fortran or C. We can map Complex Numbers to the plane R2 with the real part as the x axis and the imaginary part as the y-axis. We refer to that mapping as the Complex plane.
1.1 Algebra of Complex numbers A complex number z= x+iyis composed of a real part <(z) = xand an imaginary part =(z) = y, both of which are real numbers, x, y2R. Complex numbers can be de ned as pairs of real numbers (x;y) with special manipulation rules. That’s how complex numbers are de ned in Fortran or C.
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