An Introduction to the Theory and Practice of Finite Fields

Introduction to the Theory of Finite Fields. Integers and Polynomials. Polynomial Extension Fields. Finite Field Elements. Polynomial Factoring. Polynomial Roots over Finite Fields. Existence and Uniqueness of Finite Fields. Subfields of Finite Fields. Maps on Finite Fields. Computation in Finite Fields. Normal Basis Representations of Finite Fields. The Discrete Logarithm Problem in Finite Fields. Introduction to Applications of Finite Fields. Coding Theory. Introduction to Cryptography. Elliptic Curve Cryptography. Accounting for Time. Renewable Resources: Fisheries and Forests. Transaction Costs and Institutional Choice. Issues and Prospects for Sustainable Resource Use.