MARC details
| 000 -LEADER |
|---|
| fixed length control field |
01967nam a22002177a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20241023110341.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
241023b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783030786519 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
English |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
514.162 |
| Item number |
LEM-Q |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lemmermeyer, Franz |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Quadratic number fields |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Switzerland : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
2017. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xi, 343p. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Springer undergraduate mathematics series |
| International Standard Serial Number |
1615-2085 |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This chapter introduces quadratic number fields, their rings of integers, and the group of rational and integral points on Pell conics and explains the connection with the technique of Vieta jumping. |
| Expansion of summary note |
This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level.<br/>Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study.<br/><br/>Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Quadratic Euclidean and non-Euclidean spaces |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
