This volume is a collection of original and expository papers in the fields of Mathematics in which Gauss had made many fundamental discoveries. The contributors are all outstanding in their fields and the volume will be of great interest to all research mathematicians, research workers in the history of science, and graduate students in Mathematics and Mathematical Physics.
Powers of 2, continued fractions, and the class number one problem for real quadratic fields Q(sq root of d), with d defined as 1(mod 8), R.A.Mollin and H.C.Williams; a load balanced algorithm for the calculation of the polynomial knot and link invariants, B.Ewing and K.C.Millett; the Maxwell Condition in Friedmann cosmology, C.D.Hill; Hyper-Kahler metrics and monopoles, H.Pedersen; formulas for higher-order finite expansions of composite maps, K.P.Rybakowski; gauge-natural operators transforming connections to the tangent bundle, I.Kolan; returns under bounded number of iterations, Z.S.Kowalski; the inequalities with a small number of solutions, J.H.Everdtse and K.Gyory; factorization in quaternion orders over number fields, D.R.Estes.