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Imaginary Unit
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Geliefert zwischen Mi., 28.01.2026 und Do., 29.01.2026
Details
In mathematics, physics, and engineering, the imaginary unit allows the real number system, mathbb{R}, to be extended to the complex number system, mathbb{C}. It is denoted by i or the Latin j or the Greek iota (see Alternative notations below). Its precise definition is dependent upon the particular method of extension. The primary motivation for this extension is the fact that not every polynomial equation with real coefficients f(x) = 0 has a solution in the real number system. In particular, the equation x2 + 1 = 0 has no real solution (see Definition below). However, if complex numbers are allowed as solutions, then this equation, and indeed every non-zero degree polynomial equation f(x) = 0, has a solution (see Algebraic closure and Fundamental theorem of algebra). The imaginary unit is often loosely referred to as the "square root of 1". However, there are in fact two square roots of 1 (just as there are two square roots of every real number), namely i and i. Misuse of the imaginary unit may lead to difficulties.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130267858
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T5mm
- Jahr 2009
- EAN 9786130267858
- Format Fachbuch
- ISBN 978-613-0-26785-8
- Titel Imaginary Unit
- Untertitel Real number, Complex number, Iota, Polynomial, Imaginary number, Root of unity, Algebraic closure, Complex plane, Fundamental theorem of algebra
- Gewicht 131g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 76
- Genre Mathematik
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