in particular their K-theory and cyclic homology, as well as cohomology, group C * algebras representation theory of locally compact groups and the Baum-Connes conjecture non-commutative dynamic ...

It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge ...

Elementary logic and set theory, number systems (including integers ... Understanding of part of the main body of knowledge for mathematics: analysis and linear algebra. • Logical reasoning. • ...

Diophantus of Alexandria revolutionized algebra with Arithmetica, pioneering symbolic notation and abstract number theory.

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge ...

La Géométrie, a short appendix that appeared in Descartes’ famous Discourse on the Method, laid the foundations of analytic ...

The mathematics underpinning the modern method of elliptic curve cryptography originated with Renaissance architect Filippo Brunelleschi ...

Fractals are sometimes referred to as a “visual representation of math.” ...

This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the ...

Using Vygotsky’s sociocultural theory as a theoretical lens ... a quantitative one for comprehensively understanding the characteristics of ethnic cultural representation in the play activities of ...