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Branch point
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Branch point - Taschenbuch

ISBN: 6130621175

Gebundene Ausgabe, ID: 6376193

Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, Monodromy, Essential singularity, Geometric function theory - Buch, gebundene Ausgabe, 72 S., Beilagen: Paperback, Erschienen: 2010 Alphascript Publishing 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.

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Branch point - Frederic P. Miller
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Frederic P. Miller:

Branch point - neues Buch

2003, ISBN: 9786130621179

ID: 8106779345178893e59cba3ad53b0111

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. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik / Analysis

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Branch point: Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, ... singularity, Geometric function theory - Frederic P. Miller, Agnes F. Vandome, John McBrewster
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Frederic P. Miller, Agnes F. Vandome, John McBrewster:
Branch point: Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, ... singularity, Geometric function theory - Taschenbuch

ISBN: 6130621175

Taschenbuch, [EAN: 9786130621179], Alphascript Publishing, Alphascript Publishing, Book, [PU: Alphascript Publishing], Alphascript Publishing, 56241011, Funktionsanalyse, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher, 208623031, Taschenbuch, 208621031, Format (binding_browse-bin), 366250011, Refinements, 52044011, Fremdsprachige Bücher, 1592680031, wikipedia_english, 425410031, Special Features Stores, 425408031, Self Service, 52044011, Fremdsprachige Bücher

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Branch point: Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, ... singularity, Geometric function theory - Frederic P. Miller, Agnes F. Vandome, John McBrewster
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Frederic P. Miller, Agnes F. Vandome, John McBrewster:
Branch point: Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, ... singularity, Geometric function theory - Taschenbuch

ISBN: 6130621175

Taschenbuch, [EAN: 9786130621179], Alphascript Publishing, Englisch, Englisch, Alphascript Publishing, Book, Alphascript Publishing, Alphascript Publishing, 56241011, Funktionsanalyse, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Fachbücher, 54071011, Genres, 52044011, Englische & weitere fremdsprachige Bücher, 208623031, Taschenbuch, 208621031, Format (binding_browse-bin), 366250011, Refinements, 52044011, Englische & weitere fremdsprachige Bücher

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Details zum Buch
Branch point: Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, ... singularity, Geometric function theory
Autor:

Frederic P. Miller, Agnes F. Vandome, John McBrewster

Titel:

Branch point: Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, ... singularity, Geometric function theory

ISBN-Nummer:

9786130621179

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.

Detailangaben zum Buch - Branch point: Mathematics, Complex analysis, Multivalued function, Continuous function, Arbitrarily large, Riemann surface, Analytic continuation, ... singularity, Geometric function theory


EAN (ISBN-13): 9786130621179
ISBN (ISBN-10): 6130621175
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2003

Buch in der Datenbank seit 23.10.2009 18:27:00
Buch zuletzt gefunden am 24.09.2016 17:24:47
ISBN/EAN: 9786130621179

ISBN - alternative Schreibweisen:
613-0-62117-5, 978-613-0-62117-9

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