How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

A linear algebraic formulation of discretized, mono-energetic, steady-state, linear Boltzmann transport equations in slab geometry is presented. The discretization consists of a discrete ordinates ...

Noncommutative algebra, a field concerned with algebraic structures where the order of multiplication is significant, has evolved to address intricate problems both within pure mathematics and in ...

Following this, majors begin to learn some aspects of the main branches of modern mathematics; algebra, analysis, geometry & topology, foundations, and number theory, as well as some of their ...

Luis Radford, Signs and Meanings in Students' Emergent Algebraic Thinking: A Semiotic Analysis, Educational Studies in Mathematics, Vol. 42, No. 3 (2000), pp. 237-268 ...

Given a problem, be able to recognize its mathematical aspects and produce an abstract mathematical model for the problem. Mastery of foundational mathematical skills (through discrete math, the ...

Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

Masaki Kashiwara, project professor at Kyoto University’s Research Institute for Mathematical Sciences, has been awarded the prestigious Abel Prize for 2025.