Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups.

From the table of contents:

• Invariants and Relative Invariants
• Finite Generation of Invariants
• Construction of Invariants
• Poincaré Series
• Dimension Theoretic Properties of Rings of Invariants
• Homological Properties of Invariants
• Groups Generated by Reflections
• Modular Invariants
• Polynomial Tensor Exterior Algebras
• Invariant Theory and Algebraic Topology
• The Steenrod Algebra and Modular Invariant Theory