Real-valued functions of complex arguments violate the Cauchy-Riemann conditions and, consequently, do not have Taylor series expansion. Therefore, optimization methods based on derivatives cannot be ...

PhD candidates from the Faculty of Mathematics and Natural Sciences at the University of Oslo should apply for classes and register for examinations through Studentweb. If a course has limited intake ...

Complex analysis, the study of functions of complex variables, is traditionally a branch of pure mathematics. However, its applications in machine learning and AI are emerging in several key areas, ...

Graduate level mathematics textbook on Several Complex Variables (complex analysis in several variables). A free online textbook based on class notes for the graduate course at Oklahoma State ...

Offered by the Department of Mathematical Sciences at Faculty of Science and Technology In this course you will study functions of several complex variables that are complex differentiable in a ...

Apuntes y soluciones de los ejercicios del libro "Complex variables and applications" de J. W. Brown y R. V. Churchill. Calculation of some dynamic quantities of a system of differential equations ...

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Reviews basic ideas of complex analysis, including solutions of ODEs and PDEs of physical interest via complex analysis; conformal mapping, including Schwarz-Christoffel transformations and ...

ABSTRACT: There exists a well-developed statistical theory predicting extreme price values for financial markets known as extreme value theory (EVT). This approach relies on the seemingly obvious, but ...