A conversational introduction to algebraic number theory : (Record no. 66761)
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000 -LEADER | |
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fixed length control field | 01808nam a22001697a 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 210717b2017 ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781470454890 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.74 POL-AP |
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. | USA |
Name of publisher, distributor, etc. | American Mathematical Society |
Date of publication, distribution, etc. | 2017 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 316 p. |
365 ## - TRADE PRICE | |
Price type code | INR |
Price amount | 1160.00. |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
Title | Student Mathematical Library / |
Volume/sequential designation | Volume 84 |
500 ## - GENERAL NOTE | |
General note | 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.<br/><br/>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.<br/><br/>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. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Algebraic number theory |
952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
Withdrawn status |
Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Total Checkouts | Total Renewals | Full call number | Barcode | Checked out | Date last seen | Date last checked out | Price effective from | Koha item type |
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Dewey Decimal Classification | 510 | BITS Pilani Hyderabad | BITS Pilani Hyderabad | General Stack (For lending) | 17/07/2021 | 6 | 3 | 512.74 POL-AP | 42174 | 12/08/2025 | 26/04/2025 | 26/04/2025 | 17/07/2021 | Books |