In this classic of mathematical literature, first published in 1884,
Felix Klein elegantly demonstrates how the rotation of icosahedron can
be used to solve complex quintic equations. Divided into two
parts-"Theory of the Icosahedron" and "The Theory of Equations of the
Fifth Degree"-The Icosahedron covers: . the regular solids and the
theory of groups . introduction of (x + iy) . statement and discussion
of the fundamental problem, according to the theory of functions . the
algebraical character of the fundamental problem . general theorems and
survey of the subject . the historical development of the theory of
equations of the fifth degree . introduction of geometrical material .
the canonical equations of the fifth degree . the problem of the A's and
the Jacobian equations of the sixth degree . the general equation of the
fifth degree Complete with detailed equations and instructive material,
The Icosahedron will be valued by experts in higher mathematics and
students of algebra alike. German mathematician FELIX KLEIN (1849-1925)
specialized in function theory, group theory, and non-Euclidean
geometry. His published works include Elementary Mathematics from an
Advanced Standpoint: Arithmetic, Algebra, Analysis; Elementary
Mathematics from an Advanced Standpoint: Geometry; and Famous Problems
of Elementary Geometry.
