A conversational introduction to algebraic number theory (Record no. 55795)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01862nam a22002297a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20191022140104.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191022b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 978147044890 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.74 POL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Pollack, Paul, |
| 245 ## - TITLE STATEMENT | |
| Title | A conversational introduction to algebraic number theory |
| Remainder of title | : arithmetic beyond Z |
| Statement of responsibility, etc | / Paul Pollack |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Providence, Rhode Island |
| Name of publisher, distributor, etc | : AMS, American Mathematical Society, |
| Date of publication, distribution, etc | ©2017 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix, 316 pages |
| Other physical details | : illustrations |
| Dimensions | ; 22 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Student mathematical library, v. 84. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic number theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Number theory -- Algebraic number theory: global fields -- Algebraic number theory: global fields. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Pollack, Paul, |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Mathematics Departmental Library |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Mathematics Departmental Library | SNU LIBRARY | 22/10/2019 | 512.74 POL | M028 | 22/10/2019 | 22/10/2019 | Mathematics Departmental Library |