Približno računanje vrijednosti elementarnih funkcija

master's thesis

• Author: Doris Žugaj
• Mentor: Dijana Ilišević (mentor)
• Committee member: Zrinka Franušić (predsjednik povjerenstva)
• Committee member: Dijana Ilišević (član povjerenstva)
• Committee member: Goran Igaly (član povjerenstva)
• Committee member: Franka Miriam Bruckler (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2016-07-08, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Prikladan zapis funkcije omogućuje pogodnije računanje (približnih) vrijednosti te funkcije. Elementarna funkcija se zapisuje u matematički ekvivalentnom obliku koji računanje vrijednosti funkcije obično svodi na osnovne računske operacije. U ovom diplomskom radu opisane su neke tehnike približnog računanja vrijednosti elementarnih funkcija: pomoću zapisa funkcije u obliku verižnog razlomka, zapisa funkcije u obliku reda potencija i pomoću iterativnih postupaka. Također su opisane i greške do kojih dolazi prilikom računanja.

Abstract (english)

A suitable representation of a function allows us the computation of its (approximate) values in a more convenient way. An elementary function is usually represented in an equivalent form which reduces the computing of its values to elementary arithmetic operations. Some techniques of approximate computation of the values of elementary functions are described in this thesis: by means of continued fractions, by means of power series, and by iterative processes. All types of errors arising from these calculations are also described.

• Keywords: elementarna funkcija; računanje vrijednosti funkcije; verižni razlomak; red potencija; iterativni postupci
• Keywords (english): elementary function; computation of functions values; continued fractions; power series; iterative processes
• Language: croatian
• URN:NBN: urn:nbn:hr:217:781183
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-02-20 15:26:15