Through a set of related yet distinct texts, the author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions: Ideal- and valuation-theoretic aspects, L functions and class field theory, together with a presentation of algebraic foundations which are usually undersized in standard algebra courses. These books contain the whole classical theory of algebraic numbers and algebraic functions together with the prerequists that too often receive short coverage in standard courses. Thus it should enable a broader audience to get acquainted with these theories.
Table of Contents
Field extensions. Dedekind theory. Algebraic number fields: Elementary and geometric methods. Elementary analytic theory. Valuation theory. Algebraic function fields
Franz Halter-Koch studied at Universities of Graz and Hamburg
under Helmut Hasse and Alexander Aigner. He has been an Assistant Professor at University of Cologne, and a Full Professor at University of Essen and University of Graz. He has 156 research articles published in various journals. His books include Ideal Systems (Marcel Dekker/CRC Press); Non-Unique Factorizations (Chapman&Hall/CRC), and Quadratic Irrationals, (Chapman&Hall/CRC).