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Advanced Number Theory (Dover Books on Mathematics) by cHarvey Cohn. is a nonfiction available to read on EtoBox.

What is Advanced Number Theory (Dover Books on Mathematics) about?

'A very stimulating book... in a class by itself.'— American MathematicalMonthlyAdvanced students, mathematicians and number theorists will welcome this stimulating treatment of advanced number theory, which approaches the complex topic of algebraic number theory from a historical standpoint, taking pains to show the reader how concepts, definitions and theories have evolved during the last two centuries. Moreover, the book abounds with numerical examples and more concrete, specific theorems than are found in most contemporary treatments of the subject.The book is divided into three parts. Part I is concerned with background material — a synopsis of elementary number theory (including quadratic congruences and the Jacobi symbol), characters of residue class groups via the structure theorem for finite abelian groups, first notions of integral domains, modules and lattices, and such basis theorems as Kronecker's Basis Theorem for Abelian Groups.Part II discusses ideal theory in quadratic fields, with chapters on unique factorization and units, unique factorization into ideals, norms and ideal classes (in particular, Minkowski's theorem), and class structure in quadratic fields. Appli

Who reads Advanced Number Theory (Dover Books on Mathematics)?

Author

cHarvey Cohn.

Publisher

Dover Publications, Incorporated

Published

1962

Language

EN

ISBN

9780486149240

Category

nonfiction

Subjects

Mathematics, Stem

Rating

4.67 / 5 (6 ratings)

Updated

2026-03-13