One mathematician has helped to prove both one of these and another problem just this year.

Mihran Papikian, Pennsylvania State University ‘The ‘comprehensive' in the title is no joke: this book walks the reader through a sea of detailed examples and computations in abstract algebra. These, ...

Thus, for instance, exercises on the use of graphs are given, some at quite an early stage; there are problems to show the application of algebra to geometry, mensuration and elementary physics ...

Representation theory transforms abstract algebra groups into things like simpler matrices. The field’s founder left a list of 43 problems for others to study, iterate on, and prove. One ...