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master's thesis
Linearne diferencijalne jednadžbe u klasičnoj mehanici
2015. urn:nbn:hr:200:313925
Vuković, Marko
Josip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
Department of Core Courses
Chair of Mathematics, Physics and Mechanical Engineering

Cite this document

Vuković, M. (2015). Linearne diferencijalne jednadžbe u klasičnoj mehanici (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek. Retrieved from https://urn.nsk.hr/urn:nbn:hr:200:313925

Vuković, Marko. "Linearne diferencijalne jednadžbe u klasičnoj mehanici." Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2015. https://urn.nsk.hr/urn:nbn:hr:200:313925

Vuković, Marko. "Linearne diferencijalne jednadžbe u klasičnoj mehanici." Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2015. https://urn.nsk.hr/urn:nbn:hr:200:313925

Vuković, M. (2015). 'Linearne diferencijalne jednadžbe u klasičnoj mehanici', Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, accessed 20 November 2024, https://urn.nsk.hr/urn:nbn:hr:200:313925

Vuković M. Linearne diferencijalne jednadžbe u klasičnoj mehanici [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek; 2015 [cited 2024 November 20] Available at: https://urn.nsk.hr/urn:nbn:hr:200:313925

M. Vuković, "Linearne diferencijalne jednadžbe u klasičnoj mehanici", Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Osijek, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:200:313925

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Metadata
TitleLinearne diferencijalne jednadžbe u klasičnoj mehanici
Title (english)Linear differential equations of in classical mechanics
AuthorMarko Vuković
MentorTomislav Rudec (mentor)
Committee memberTomislav Rudec (predsjednik povjerenstva)
Committee memberAnita Katić (član povjerenstva)
Committee memberŽeljka Mioković (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
(Department of Core Courses)
(Chair of Mathematics, Physics and Mechanical Engineering)
Osijek
Defense date and country2015-09-17, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Power Engineering
Abstract
Klasična mehanika izučava problem gibanja materijalnih objekata i predstavlja temelj klasične fizike. Poviješću klasične mehanike smatra se razdoblje od 17. do 19. stoljeća. Isaac Newton, Rene′ Descartes, Galileo Galilei su ljudi koji su bitno utjecali na razvoj klasične mehanike. Jedna od najvažnijih karakteristika klasične mehanike je postojanje nekoliko različitih ekvivaletnih formulacija teorije, od kojih su najbitniji Newtonov formalizam, Lagrangeov formalizam, Hamiltonovom formalizam i Hamilton-Jacobijeva teorija. Diferencijalna jednadžba je jednadžba koja povezuje nepoznate funkcije jedne ili više nezavisnih varijabli i njihove derivacije. Vrlo značajni ljudi za ovu granu matematike su Newton, Leibniz, Lagrange, Bernoulli. Linearna diferencijalna jednadžba je oblika y' + P(x) × y =Q(x) . Primjena diferencijalnih jednadžbi u klasičnoj mehanici je široka. Gibanje u jednoj dimenziji (konzervativni sustavi i gibanje u mediju s otporom) je jedna od primjena. Sljedeća primjena može se navesti kod postupka varijacije gdje se kao primjer može dati udaljenost dviju točaka u ravnini.
Abstract (english)
Classical mechanics investigates the problem of motion of material objects and represents the basic of classical physics. History of classical mechanics considered period from 17th to 19th century. Isaac Newton, Rene′ Descartes, Galileo Galilei are people who strongly influenced to the development of classical mechanics. One of the most important characteristics of classical mechanics is the existence of several equivalent formulations of the theory, the most important are Newton's formalism, Lagrange formalism, Hamiltonian formalism and the Hamilton- Jacobian theory. The differential equation is an equation which connects unknown functions of one or more independent variables and their derivations. Very important people of this branch of mathematics are Newton, Leibniz, Lagrange, Bernoulli. Form of linear differential equation is y' + P(x) × y =Q(x) . The use of differential equations in classical mechanics are wide. The motion in one dimension (conservative systems and the movement in media with resistance) is one of the use. Next use may be specified by the process variation where an example can be the distance of two points in the plane.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:200:313925
Study programmeTitle: Graduate University Study Programme in Electrical Engineering; branch: Communications and Informatics, Power Engineering
Course: Power Engineering
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra inženjer/inženjerka elektrotehnike (magistar/magistra inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2016-06-29 11:41:46