TY  - BOOK
AU  - Pollack, Paul, 
AU  -  Pollack, Paul, 
TI  - A conversational introduction to algebraic number theory:  : arithmetic beyond Z
T2  - Student mathematical library, v. 84
SN  - 978147044890
U1  - 512.74 POL 
PY  - 2017///
CY  - Providence, Rhode Island
PB  -  : AMS, American Mathematical Society, 
KW  - Mathematics
KW  - Algebra
KW  - Algebraic number theory
KW  - Number theory -- Algebraic number theory: global fields -- Algebraic number theory: global fields
N1  - Getting our feet wetCast of charactersQuadratic number fields: First stepsParadise lost--and foundEuclidean quadratic fieldsIdeal theory for quadratic fieldsPrime ideals in quadratic number ringsUnits in quadratic number ringsA touch of classMeasuring the failure of unique factorizationEuler's prime-producing polynomial and the criterion of Frobenius-RabinowitschInterlude: Lattice pointsBack to basics: Starting over with arbitrary number fieldsIntegral bases: From theory to practice, and backIdeal theory in general number ringsFiniteness of the class group and the arithmetic of $\overline{\mathbb{Z}}$Prime decomposition in general number ringsDirichlet's units theorem, IA case study: Units in $\mathbb{Z}[\sqrt[3]{2}]$ and the Diophantine equation $X^3-2Y^3=\pm1$Dirichlet's units theorem, IIMore Minkowski magic, with a cameo appearance by HermiteDedekind's discriminant theoremThe quadratic Gauss sumIdeal density in quadratic number fieldsDirichlet's class number formulaThree miraculous appearances of quadratic class numbersIndex
ER  -