Concept information
Término preferido
complex analysis
Definición
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Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, quantum mechanics, and twistor theory. By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Complex_analysis)
Concepto genérico
Conceptos específicos
- algebraic analysis
- analytic continuation
- analytic function
- asymptotic expansion
- branch point
- Carleson measure
- Carlson's theorem
- Cauchy inequality
- Cauchy integral theorem
- Cauchy-Riemann equations
- Cauchy's integral formula
- complex convexity
- complex function
- complex plane
- contour integration
- critical point
- dessin d'enfant
- Euler's formula
- Euler's identity
- Gauss-Lucas theorem
- Hilbert's inequality
- hypergeometric series
- isolated singularity
- Jensen's formula
- Jordan's lemma
- Laurent series
- Liouville's theorem
- Marden's theorem
- Mergelyan's theorem
- meromorphic function
- modular form
- monodromy
- Morera's theorem
- multivalued function
- Padé approximant
- path
- Picard theorem
- pole
- power series
- residue
- residue theorem
- Riemann hypothesis
- Riemann sphere
- Riemann-Roch theorem
- Schwarz lemma
- singularity
- Taylor series
etiqueta alternativa (skos)
- theory of functions of a complex variable
En otras lenguas
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francés
URI
http://data.loterre.fr/ark:/67375/PSR-RN57KZJ9-9
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