Titlebook: Mathematical Analysis, Probability and Applications – Plenary Lectures; ISAAC 2015, Macau, C Tao Qian,Luigi G. Rodino Conference proceeding

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Visual Exploration of Complex Functions,s can be reconstructed from these images. After a survey of related results, the main part is devoted to a number of applications which illustrate the usefulness of phase plots in teaching and research.

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The Study of Complex Shapes of Fluid Membranes, the Helfrich Functional and New Applications, fluid membranes are investigated from two different viewpoints: the balance of forces (moments) and the generalized variational principle of free energy. Several examples on new applications of the Helfrich functional in understanding the growth mechanism of some mesoscopic structures are illustrated.

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Conference proceedings 2016 and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.

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Mathematical Analysis, Probability and Applications – Plenary Lectures978-3-319-41945-9Series ISSN 2194-1009 Series E-ISSN 2194-1017