Complex analysis

Principal value

In mathematics, specifically complex analysis, the principal values of a multivalued function are the values along one chosen branch of that function, so that it is single-valued. The simplest case arises in taking the square root of a positive real number. For example, 4 has two square roots: 2 and −2; of these the positive root, 2, is considered the principal root and is denoted as (Wikipedia).

Principal value
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From playlist Course 1: Precalculus (Fall 2022)

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From playlist Pre-Calculus

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From playlist Complex Analysis

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Related pages

Complex analysis | Argument (complex analysis) | Inverse trigonometric functions | Domain of a function | Branch point | Atan2 | Radian | Complex logarithm | List of mathematical functions | Complex plane | Mathematics | Principal branch | Function (mathematics) | Integer | Real number | Multivalued function | Complex number | Interval (mathematics) | Square root