Комплексан број — разлика између измена

Уређени пар [[Реалан број|реалних бројева]], означен са <math>(a, b)</math>, при чему су <math>a</math> и <math>b</math> реални бројеви (<math>a, b\in\mathbb{R}</math>), назива се '''комплексан број'''.<ref>Complex Variables (2nd Edition), M.R. Spiegel, S. Lipschutz, J.J. Schiller, D. Spellman, Schaum's Outline Series, Mc Graw Hill (USA). {{page|year=|isbn=978-0-07-161569-3|pages=}}</ref><ref>{{Cite book|title = College Algebra and Trigonometry |edition=6 |first1=Richard N. | last1 =Aufmann|first2=Vernon C. | last2 =Barker|first3=Richard D. | last3 =Nation|publisher=Cengage Learning |year=2007|isbn=978-0-618-82515-8 |url=https://books.google.com/?id=g5j-cT-vg_wC&pg=PA66 |chapter=Chapter P|pages=66}}</ref> (Реалан број је „прост“, док је уређени пар „сложен“, или комплексан, јер га сачињавају два броја). Скуп свих оваквих парова, односно свих комплексних бројева, означавамо са <math>\mathbb{C}</math> и он је суштински Декартов производ <math>\mathbb{C}=\mathbb{R}\times\mathbb{R}</math>. Уређени пар <math>(a, b)</math>, као комплексан број, записује се још као <math>a+bi</math>. Притом се елемент <math>i</math> назива имагинарним бројем, и има својство да је <math>i^2=-1</math>. {{sfn|McKeague|2011|p=524}} Имагинарни број се у физици често обележава и латиничним словом <math>j</math>.

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