This volume contains a re-edition of Max Koecher's famous Minnesota
Notes. The main objects are homogeneous, but not necessarily convex,
cones. They are described in terms of Jordan algebras. The central point
is a correspondence between semisimple real Jordan algebras and
so-called omega-domains. This leads to a construction of half-spaces
which give an essential part of all bounded symmetric domains. The
theory is presented in a concise manner, with only elementary
prerequisites. The editors have added notes on each chapter containing
an account of the relevant developments of the theory since these notes
were first written.