What does complex analysis mean?

Definitions for complex analysis
com·plex ana·ly·sis

This dictionary definitions page includes all the possible meanings, example usage and translations of the word complex analysis.

Wiktionary

  1. complex analysisnoun

    The branch of mathematics that studies holomorphic functions.

Wikipedia

  1. Complex analysis

    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, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering.As a differentiable function of a complex variable is equal to its Taylor series (that is, it is analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions).

Wikidata

  1. Complex analysis

    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 useful in many branches of mathematics, including algebraic geometry, number theory, applied mathematics; as well as in physics, including hydrodynamics, thermodynamics, mechanical engineering and electrical engineering. Murray R. Spiegel described complex analysis as "one of the most beautiful as well as useful branches of Mathematics". Complex analysis is particularly concerned with the analytic functions of complex variables. Because the separate real and imaginary parts of any analytic function must satisfy Laplace's equation, complex analysis is widely applicable to two-dimensional problems in physics.

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Numerology

  1. Chaldean Numerology

    The numerical value of complex analysis in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of complex analysis in Pythagorean Numerology is: 8

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"complex analysis." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/complex+analysis>.

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