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Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that studies complex-valued functions of one or more complex variables. It is used in many branches of mathematics, including functional analysis, algebraic geometry, number theory, analytic combinatorics, and applied…

History, Complex functions & Major results

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Overview

History

Complex functions

Holomorphic functions

Conformal map

Major results

Sources

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Map overview Semantic statistics

Complex analysis

Nodes138
Edges137
Triples128
Avg. degree1.99
Density0.014493
Components1

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Complex analysis

Top relations

related to Sources · 84
Complex analysis → Ablowitz, Addison-Wesley, Advanced Engineering Mathematics, Ahlfors, Analytic Functions, Applications, Applied, Basic Complex Analysis, Birkhäuser, Brooks/Cole, Busam, Cambridge, Carathéodory, Carrier, Cartan, Chelsea, Complex Functions, Complex Variable, Complex Variables, Computational Complex Analysis
related to Major results · 12
Complex analysis → Cauchy, Cauchy's, Functions, If, It, Laurent, Liouville's, One, Path, Picard's, Taylor, The
related to Holomorphic functions · 10
Complex analysis → Complex, Consequently, For, Furthermore, However, In, Non-analytic, Omega, Superficially, This
related to history · 9
Complex analysis → Another, Cauchy, Complex, Euler, Gauss, Important, In, Riemann, Weierstrass
related to External links · 7
Complex analysis → Analysis PageGuide, Complex Field, Creative Commons BY-NC-SA, Cultivating Complex Analysis, Jiri Lebl, Wolfram Research's MathWorld Complex, Working
see also · 2
Complex analysis → Complex, Roch
is a · 1
Complex analysis → line integral

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Important terminology

complex functions function holomorphic analysis theory real domain variable one displaystyle plane variables conformal differentiable riemann theorem point used also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Complex analysisis aline integral0.90text
Banach algebrasinstance ofthe theory of several complex variables makes use of additional techniques0.80text
sheaf theoryinstance ofthe theory of several complex variables makes use of additional techniques0.80text
power series expansion carry over whereas most of the geometric properties of holomorphic functions in one complex dimensioninstance ofThere is also a very rich theory of complex analysis in more than one complex dimension in which the analytic properties0.80text
Complex analysisrelated to External linksWolfram Research's MathWorld Complex0.60section
Complex analysisrelated to External linksAnalysis PageGuide0.60section
Complex analysisrelated to External linksCultivating Complex Analysis0.60section
Complex analysisrelated to External linksWorking0.60section
Complex analysisrelated to External linksComplex Field0.60section
Complex analysisrelated to External linksJiri Lebl0.60section
Complex analysisrelated to External linksCreative Commons BY-NC-SA0.60section
Complex analysisrelated to historyComplex0.60section

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