Derivative

Luis T. Magalhães
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Luis T. Magalhães: University of Lisbon, Instituto Superior Técnico

Chapter Chapter 3 in Complex Analysis and Dynamics in One Variable with Applications, 2025, pp 27-53 from Springer

Abstract: Abstract Derivative of complex functions, definition of holomorphic and entire functions, Cauchy–Riemann equations, introduction to conformal mappings, Möbius and Joukowski transformations. Exercises, including the Herglotz trick, a reference to harmonic functions, the Cayley transform, symmetry relative to circles, and with applications to hydrodynamics, electrostatics, and heat propagation in equilibrium.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-64999-8_3

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DOI: 10.1007/978-3-031-64999-8_3

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