Complex analysis Definition and 755 Threads

  1. A

    Complex Analysis: Nonlinear system

    Here's a problem I ran into in complex analysis. Given z = x + iy and w = u + iv, I need to find all w such that w² = z. It reduces to solving this system: x = u² - v² y = 2uv My professor mentioned that we should try to deal with the problem in at least two cases: y = 0, and y does not...
  2. J

    Introduction to Complex Analysis

    Hi people, I'm Joseph, 17, English studying European Baccalaureate. I was wondering if anyone here could recommend for me a good introductory book on Complex Analysis that requires only an understanding of the complex numbers you would cover in High School Maths. Maybe something...
  3. Y

    How to Find a Sum Using Poisson Summation Formula and Fourier Transform?

    Anyone know how to find a sum of a function using the poisson summation formula and the Fourier transform. Thanks! --yxgao
  4. P

    How Does the Mapping w = 1/z Transform Regions in the Complex Plane?

    More "Complex" Complex Analysis I have another problem that has eluded me for days and I'm sure I'm close. If anyone can help, please nudge me in the right direction. Consider the mapping w = u + iv = 1/z, where z = x + iy. Show that the region between the curves v = -1 and v = 0 maps into...
  5. P

    What is the derivative of a complex function?

    I am having trouble with the following question, any help would be blinding. Find the value of ther derivative of: (z - i)/(z + i) at i. I tried to use the fact that f'(z0) = lim z->z0 [f(z) - f(z0)]/z - z0. I also tried using the fact that z = x + iy and rationalising the denominator...
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