Concept information
Preferred term
complex analysis
Definition
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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)
Broader concept
Narrower concepts
- 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-Roch theorem
- Riemann sphere
- Schwarz lemma
- singularity
- Taylor series
Entry terms
- theory of functions of a complex variable
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-RN57KZJ9-9
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