Introduction To The Construction Of Class Fields

Download or read book Introduction to the Construction of Class Fields written by Harvey Cohn and published by CUP Archive. This book was released on 1985-08-30 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this graduate level textbook, Professor Cohn takes a problem that Pythagoras could have posed, and using it as motivation, develops a constructional introduction to classical field theory and modular function theory. The interest in constructional techniques has increased recently with the advent of cheap and plentiful computer technology. The beginning chapters provide the motivation and necessary background in elementary algebraic number theory and Riemann surface theory. The ideas and results are then applied and extended to class field theory. In the later chapters, more specialized results are presented, with full proofs, though the author emphasizes, with examples, the relation of the material to other parts of mathematics.