{pdf download} A Conversational Introduction to Algebraic Number Theory - Arithmetic Beyond Z

A Conversational Introduction to Algebraic Number Theory - Arithmetic Beyond Z pan Paul Pollack

Caractéristiques

• A Conversational Introduction to Algebraic Number Theory - Arithmetic Beyond Z
• Paul Pollack
• Nb. de pages: 316
• Format: Pdf, ePub, MOBI, FB2
• ISBN: 9781470436537
• Editeur: AMS
• Date de parution: 2017

Télécharger eBook gratuit

Ebooks téléchargement gratuit deutsch pdf A Conversational Introduction to Algebraic Number Theory - Arithmetic Beyond Z (French Edition) 9781470436537 par Paul Pollack

Overview

Gauss famously referred to mathematics as the "queen of the sciences" and to number theory as the "queen of mathematics". This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q. Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others.
This book lays out basic results, including the three "fundamental theorems" : unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads.
Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia ; pains have been taken to preserve the conversational style of the original lectures.

Pdf recommandé: {epub download} Rich as F*ck: More Money Than You Know What to Do With by Amanda Frances, Cara Alwill pdf, DOWNLOADS The Lost Heir (Wings of Fire Graphic Novel #2): A Graphix Book by Tui T. Sutherland, Mike Holmes read pdf, By Any Other Name by on Audiobook New site, Read [pdf]> The Blood of Innocents by read book, Read online: This Time Tomorrow by Emma Straub read book, DOWNLOAD [PDF] {EPUB} L'iris, témoin de votre santé - Manuel pratique d'iridologie read pdf, {epub download} The Girl They Left Behind: A Novel by Roxanne Veletzos pdf, [PDF/Kindle] Les Immorales - Volume 3 by Emmanuel Saez read book, {pdf download} Zara Hossain Is Here by Sabina Khan download link,