Complex Analysis II
£4.50
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Complex Analysis II
£4.50
Part 2 of 2 in the Complex Analysis series. Topics in this product include Taylor and Laurent series, the residue theorem, Blasius' laws and the Kutta-Joukowski lifting force, Laplace transforms and their inversion, and conformal mapping applications including the Joukowski transformation.
This is a 14-page PDF scan of handwritten notes, featuring clickable PDF bookmarks so you can jump straight to any page in a PDF viewer such as Adobe Acrobat. Complete page-by-page contents can be found below so you know exactly what's inside before you buy.
MathsPage-by-page contents
Maths
Page-by-page contents
- 01Taylor series, coefficient, radius of convergence, singularities
- 02Series and singularities, convergent, pointwise, uniform, continuous, analytic, power series, ratio test
- 03Taylor series, radius of convergence, order of a pole
- 04Laurent series, punctured plane, singular point, isolated, removable or essential singularity, pole order n
- 05Residue theorem, calculating residue, Cauchy’s residue theorem
- 06Keyhole contour, blasius law, kutta-joukowski lifting force, incompressible, irrotational
- 07Blasius laws, complex force, kutta-joukowski lifting force
- 08Laplace transforms, linear, derivatives, shift theorems, scale theorems, convolution theorem
- 09Inverting laplace transform, Bromwich contour, methods of inversion, keyhole bromwich contour
- 10Conformal mappings, laplace’s equation, Dirichlet problem, complex differentiability, harmonic, polar form
- 11Method of separation of variables, laplace equation
- 12Tricky regions, complex mappings, one-to-one mapping, local one-to-one mapping
- 13Conformal mappings, harmonic functions, Joukowski transformation, mapping general complex number
- 14Joukowski transformation (continued)