ISBN: 9786130621179 - branch point: mathematics, complex analysis, multivalued function, continuous function, arbitrarily large, riemann surface, analytic continuation, ... singularity, geometric function theory (2 risultati)

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the mathematical field of complex analysis, a branch point of a multi-valued function (usually referred to as a 'multifunction' in the context of complex analysis) is a point such that the function is discontinuous when going around an arbitrarily small circuit around this point (Ablowitz & Fokas 2003, p. 46). Multi-valued functions are rigorously studied using Riemann surfaces, and the formal definition of branch points employs this concept. Branch points fall into three broad categories: algebraic branch points, transcendental branch points, and logarithmic branch points. Algebraic branch points most commonly arise from functions in which there is an ambiguity in the extraction of a root, such as solving the equation z = w2 for w as a function of z. Here the branch point is the origin, because the analytic continuation of any solution around a closed loop containing the origin will result in a different function: there is non-trivial monodromy. Despite the algebraic branch point, the function w is well-defined as a multiple-valued function and, in an appropriate sense, is continuous at the origin. 72 pp. Englisch.…

Taschenbuch. Condizione: Neu. Branch point | Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, Monodromy, Essential singularity, Geometric function theory | Frederic P. Miller (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130621179 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…