Дело Михаила Петровића "Рачунање са бројним размацима" и интервална математика
The work of Mihailo Petrovich “Calculation with numerical interval” and interval mathematics
Abstract
Mihailo Petrovich first published “Calculation with numerical intervals” in 1932 in the
Serbian language. The realese was reprinted in 1969 in the editorial Dr. Petar Vasic and
Dr. Milorad Beretolino. The development of interval mathematics began in the 1960s with
R. E. Moore [3] as its main protagonist. The interval mathematics quickly became a significant field in mathematics with prominent use in computer sciences and numerus papers
were published in this field. The key question is: “Did M. Petrovich influence the development of interval mathematics?” The development of interval mathematics commenced
with interval arithmetic and it was inspired by electronic computers. One could not make
a strong claim that the work of M. Perovich directly influenced development of interval
mathematics. However, his groundbreaking work was very important for a wide spectrum of mathematical disciplines in which the intervals are applied (arithmetic, geometry,
differential and integral equatio...ns, to name a few). Subsequent publications by Russian
mathematicians (especially Chaplygin [7]), pointed out the significance of M. Petrovich’s
ideas in solving the initial value problem at ordinary differential equations.
Keywords:
Mihailo Petrović Alas / Calculation with numerical intervals / interval mathematics / numerical intervalsSource:
Михаило Петровић Алас : поводом сто педесет година од рођења : научни скуп са међународним учешћем одржан у Српској академији наука и уметности, 2-3. октобра 2018, Београд, 2019, 35-45Publisher:
- Београд : Српска академија наука и уметности : Математички факултет Универзитета : Математички институт САНУ : Друштво математичара Србије
Note:
- Научни скупови / Српска академија наука и уметности, Београд ; књ. 182. Председништво ; књ. 12
Collections
Institution/Community
Cрпска академија наука и уметности / Serbian Academy of Sciences and ArtsTY - CONF AU - Тошић, Душан PY - 2019 UR - https://dais.sanu.ac.rs/123456789/9383 AB - Mihailo Petrovich first published “Calculation with numerical intervals” in 1932 in the Serbian language. The realese was reprinted in 1969 in the editorial Dr. Petar Vasic and Dr. Milorad Beretolino. The development of interval mathematics began in the 1960s with R. E. Moore [3] as its main protagonist. The interval mathematics quickly became a significant field in mathematics with prominent use in computer sciences and numerus papers were published in this field. The key question is: “Did M. Petrovich influence the development of interval mathematics?” The development of interval mathematics commenced with interval arithmetic and it was inspired by electronic computers. One could not make a strong claim that the work of M. Perovich directly influenced development of interval mathematics. However, his groundbreaking work was very important for a wide spectrum of mathematical disciplines in which the intervals are applied (arithmetic, geometry, differential and integral equations, to name a few). Subsequent publications by Russian mathematicians (especially Chaplygin [7]), pointed out the significance of M. Petrovich’s ideas in solving the initial value problem at ordinary differential equations. PB - Београд : Српска академија наука и уметности : Математички факултет Универзитета : Математички институт САНУ : Друштво математичара Србије C3 - Михаило Петровић Алас : поводом сто педесет година од рођења : научни скуп са међународним учешћем одржан у Српској академији наука и уметности, 2-3. октобра 2018, Београд T1 - Дело Михаила Петровића "Рачунање са бројним размацима" и интервална математика T1 - The work of Mihailo Petrovich “Calculation with numerical interval” and interval mathematics SP - 35 EP - 45 UR - https://hdl.handle.net/21.15107/rcub_dais_9383 ER -
@conference{ author = "Тошић, Душан", year = "2019", abstract = "Mihailo Petrovich first published “Calculation with numerical intervals” in 1932 in the Serbian language. The realese was reprinted in 1969 in the editorial Dr. Petar Vasic and Dr. Milorad Beretolino. The development of interval mathematics began in the 1960s with R. E. Moore [3] as its main protagonist. The interval mathematics quickly became a significant field in mathematics with prominent use in computer sciences and numerus papers were published in this field. The key question is: “Did M. Petrovich influence the development of interval mathematics?” The development of interval mathematics commenced with interval arithmetic and it was inspired by electronic computers. One could not make a strong claim that the work of M. Perovich directly influenced development of interval mathematics. However, his groundbreaking work was very important for a wide spectrum of mathematical disciplines in which the intervals are applied (arithmetic, geometry, differential and integral equations, to name a few). Subsequent publications by Russian mathematicians (especially Chaplygin [7]), pointed out the significance of M. Petrovich’s ideas in solving the initial value problem at ordinary differential equations.", publisher = "Београд : Српска академија наука и уметности : Математички факултет Универзитета : Математички институт САНУ : Друштво математичара Србије", journal = "Михаило Петровић Алас : поводом сто педесет година од рођења : научни скуп са међународним учешћем одржан у Српској академији наука и уметности, 2-3. октобра 2018, Београд", title = "Дело Михаила Петровића "Рачунање са бројним размацима" и интервална математика, The work of Mihailo Petrovich “Calculation with numerical interval” and interval mathematics", pages = "35-45", url = "https://hdl.handle.net/21.15107/rcub_dais_9383" }
Тошић, Д.. (2019). Дело Михаила Петровића "Рачунање са бројним размацима" и интервална математика. in Михаило Петровић Алас : поводом сто педесет година од рођења : научни скуп са међународним учешћем одржан у Српској академији наука и уметности, 2-3. октобра 2018, Београд Београд : Српска академија наука и уметности : Математички факултет Универзитета : Математички институт САНУ : Друштво математичара Србије., 35-45. https://hdl.handle.net/21.15107/rcub_dais_9383
Тошић Д. Дело Михаила Петровића "Рачунање са бројним размацима" и интервална математика. in Михаило Петровић Алас : поводом сто педесет година од рођења : научни скуп са међународним учешћем одржан у Српској академији наука и уметности, 2-3. октобра 2018, Београд. 2019;:35-45. https://hdl.handle.net/21.15107/rcub_dais_9383 .
Тошић, Душан, "Дело Михаила Петровића "Рачунање са бројним размацима" и интервална математика" in Михаило Петровић Алас : поводом сто педесет година од рођења : научни скуп са међународним учешћем одржан у Српској академији наука и уметности, 2-3. октобра 2018, Београд (2019):35-45, https://hdl.handle.net/21.15107/rcub_dais_9383 .