Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

The rôle of categorical structures in infinitesimal calculus (CROSBI ID 195191)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Steingartner, William ; Galinec, Darko The rôle of categorical structures in infinitesimal calculus // Journal of applied mathematics and computational mechanics, 12 (2013), 1; 107-119. doi: 10.17512/jamcm.2013.1.11

Podaci o odgovornosti

Steingartner, William ; Galinec, Darko

engleski

The rôle of categorical structures in infinitesimal calculus

The development of mathematics stands as one of the most important achievements of humanity, and the development of the calculus, differential calculus and integral calculus is one of the most important achievements in mathematics. Differential calculus is about finding the slope of a tangent to the graph of a function, or equivalently, differential calculus is about finding the rate of change of one quantity with respect to another quantity. On the other hand, integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus. Integrals and derivatives became the basic tools of calculus, with numerous applications in science and engineering. The category theory is a mathematical approach to the study of algebraic structure that has become an important tool in theoretical computing science, particularly for semantics-based research. The notion of a limit in category theory generalizes various types of universal constructions that occur in diverse areas of mathematics. In our paper we illustrate how to represent some parts of infinitesimal calculus in categorical structures.

categorical structures ; cathegory theory ; infinitesimal calculus

This work is the result of the project implementation: Center of Information and Communication Technologies for Knowledge Systems (ITMS project code: 26220120030) supported by the Research & Development Operational Program funded by the ERDF.

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

12 (1)

2013.

107-119

objavljeno

2299-9965

2353-0588

10.17512/jamcm.2013.1.11

Povezanost rada

Informacijske i komunikacijske znanosti, Računarstvo

Poveznice