Our research specialties are in algebra, analysis, geometry, quantity principle, chance and topology. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with related utilized mathematics, the overall philosophy of techniques simulation, and their influence on disciplinary and interdisciplinary research.

By mathematics , from Latin mathematica (plural), from Greek mathematike tekhne “mathematical science,” feminine singular of mathematikos (adj.) “referring to mathematics, scientific, astronomical; disposed to study,” from mathema (genitive mathematos) “science, knowledge, mathematical information; a lesson,” actually “that which is learnt;” associated to manthanein “to learn,” from PIE root mendh- “to study” (cf.

Asymptotics of integrals were investigated by the use of path deformations on Riemann surfaces below the motion of branching factors (nowadays, we might have called this the Picard-Lefschetz concept; Picard, by the way in which, was Hermite’s son-in-regulation – mathematical talents are often transferred by sons-in-law: the dynasty Hadamard – P. Levy – L. Schwarz – U. Frisch is one more famous example in the Paris Academy of Sciences).

The trendy study of house generalizes these ideas to incorporate higher-dimensional geometry, non-Euclidean geometries (which play a central role usually relativity ) and topology Quantity and area each play a …