Click Here to Download: https://ouo.io/GVzCEgK Algebraic Theory of Numbers By: Pierre Samuel Publisher: Dover Publications Print ISBN: 9780486466668, 0486466663 eText ISBN: 9780486318271, 0486318273 Pages: 112 Format: EPUB Available from $ 10.95 USD SKU 9780486318271 Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics — algebraic geometry, in particular. This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Galois theory, Noetherian rings and modules, and rings of fractions. It covers the basics, starting with the divisibility theory in principal ideal domains and ending with the unit theorem, finiteness of the class number, and the more elementary theorems of Hilbert ramification theory. Numerous examples, applications, and exercises appear throughout the text.
