Concept information
Terme préférentiel
complex analysis
Définition(s)
-
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)
Concept(s) générique(s)
Concept(s) spécifique(s)
- 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
Synonyme(s)
- theory of functions of a complex variable
Traductions
-
français
URI
http://data.loterre.fr/ark:/67375/PSR-RN57KZJ9-9
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}