000			02307nam a22002897a 4500
003			OSt
005			20240625154636.0
008			240614b |||||||| |||| 00| 0 hin d
020			_a9781470456115
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a515.14 _bHAT-T
100	1		_aHatcher, Allen,
245	1	0	_aTopology of numbers
260			_aRhode Island : _bAmerican Mathematical Society, _c2022.
300			_aix, 341p. : _billustrations ; _c26 cm
504			_aIncludes bibliographical references (pages 338-339) and index.
520			_aThis 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. 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			_aUndergraduate students interested in number theory who appreciate geometric pictures of mathematical objects.
650		0	_aGeometry of numbers.
650		0	_aAlgebraic topology.
650		0	_aNumber theory.
650		0	_aNumber theory -- Instructional exposition (textbooks, tutorial papers, etc.).
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/mbk-145-toc.pdf?_gl=1*78b3sh*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMwOTc3Mi4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/62306975-topology-of-numbers?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35052 _d35052