Complex Analysis I
£3.50
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Complex Analysis I
£3.50
Part 1 of 2 in the Complex Analysis series. Topics in this product include complex numbers and De Moivre's formula, analytic functions and the Cauchy-Riemann equations, conformal mappings, complex line integration, and Cauchy's integral theorem.
This is a 11-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
- 01Complex variables, analytic functions, cauchy-riemann equations, example, example
- 02Harmonic functions, example, conformal mappings
- 03Conformal mappings, example, example
- 04Complex numbers, complex conjugate, complex plane, polar form, triangle inequality, de moivre’s formula, nth roots
- 05Exponential function, trig functions, hyperbolic functions, complex functions, neighbourhood, limit, continuity
- 06Differentiation of complex functions, examples, analytic function, entire function
- 07Cauchy-Riemann equations derivation, proof, consequences, Laplace equation
- 08Analytic functions, entire, multivalued, arg, principal value, branch cut, root of complex, generalised power
- 09Complex line integration, complex line interval, example, sectionally smooth curve, linearity, upper bound
- 10Cauchy’s integral theorem, path-independence, deformation theorem
- 11Uniform convergence, pointwise convergence