MARC details
000 -LEADER |
fixed length control field |
02307nam a22002897a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240625154636.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240614b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470456115 |
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 |
515.14 |
Item number |
HAT-T |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Hatcher, Allen, |
245 10 - TITLE STATEMENT |
Title |
Topology of numbers |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
Rhode Island : |
Name of publisher, distributor, etc. |
American Mathematical Society, |
Date of publication, distribution, etc. |
2022. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
ix, 341p. : |
Other physical details |
illustrations ; |
Dimensions |
26 cm |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (pages 338-339) and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This book serves as an introduction to number theory at the undergraduate level, emphasizing geometric aspects of the subject. The geometric approach is exploited to explore in some depth the classical topic of quadratic forms with integer coefficients, a central topic of the book. Quadratic forms of this type in two variables have a very rich theory, developed mostly by Euler, Lagrange, Legendre, and Gauss during the period 1750–1800. In this book their approach is modernized by using the splendid visualization tool introduced by John Conway in the 1990s called the topograph of a quadratic form. Besides the intrinsic interest of quadratic forms, this theory has also served as a stepping stone for many later developments in algebra and number theory.<br/><br/>The book is accessible to students with a basic knowledge of linear algebra and arithmetic modulo n. Some exposure to mathematical proofs will also be helpful. The early chapters focus on examples rather than general theorems, but theorems and their proofs play a larger role as the book progresses. |
521 ## - TARGET AUDIENCE NOTE |
Target audience note |
Undergraduate students interested in number theory who appreciate geometric pictures of mathematical objects. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Geometry of numbers. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebraic topology. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Number theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Number theory -- Instructional exposition (textbooks, tutorial papers, etc.). |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of Contents |
Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/mbk-145-toc.pdf?_gl=1*78b3sh*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMwOTc3Mi4wLjAuMA..">https://www.ams.org/bookstore/pspdf/mbk-145-toc.pdf?_gl=1*78b3sh*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMwOTc3Mi4wLjAuMA..</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/62306975-topology-of-numbers?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/62306975-topology-of-numbers?ref=nav_sb_ss_1_13#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Book |
Source of classification or shelving scheme |
Universal Decimal Classification |