Kompleksni brojevi

undergraduate thesis

• Title (english): Complex numbers
• Author: Filip Majsec
• Mentor: Miroslav Jerković (mentor)
• Committee member: Miroslav Jerković (predsjednik povjerenstva)
• Committee member: Ivica Gusić (član povjerenstva)
• Committee member: Irena Škorić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Chemical Engineering and Technology; Zagreb
• Defense date and country: 2018-09-18, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics; Algebra

Abstract

Brojevi nam koriste u opisivanju svijeta koji nas okružuje. Kompleksni brojevi se pojavljuju kao logično proširenje skupa realnih brojeva i samim time zaslužuju pažnju. Napretkom shvaćanja našeg okruženja dolazimo do poteškoća u opisivanju složenih pojava, kakve susrećemo u znanosti i inženjerstvu. Pokazuje da se kompleksni brojevi, koliko se god isprva apstraktni i nerazumljivi činili, itekako imaju primjenu, često u vrlo različitim kontekstima i situacijama. U ovom radu ćemo kroz tri poglavlja proći kroz povijest, matematičku pozadinu i primjenu kompleksnih brojeva.

Abstract (english)

We use numbers to describe the world that surrounds us. Complex numbers appear as the logical extension of the set of real numbers and just by that notion they deserve attention. With the advancement of our understanding of our environment, we come to difficulties in describing the complex phenomena we encounter in science and engineering. It appears that complex numbers, as much as abstract and incomprehensible they may seem at first, are really necessary in applications, often in broadly various contexts and situations. In this paper, we will pass through three chapters: history, mathematical background and the application of complex numbers.

• Keywords: kompleksni brojevi; imaginarna jedinica; algebarske operacije; trigonometrijski zapis
• Keywords (english): complex numbers; imaginary unit; algebraic operations; trigonometric form
• Language: croatian
• URN:NBN: urn:nbn:hr:149:558572
• Study programme: Title: Chemical Engineering - Undergraduate study; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka kemijskog inženjerstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka kemijskog inženjerstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2022-05-20 11:44:36