000			02669nam a22003257a 4500
003			OSt
005			20240625190134.0
008			240621b |||||||| |||| 00| 0 hin d
020			_a9781470442897
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082	0	0	_a512.624 _bHOU-L
100	1		_aHou, Xiang-dong
245	1	0	_aLectures on finite fields
260			_aRhode Island : _bAmerican Mathematical Society, _c2018.
300			_ax, 229p : _billustrations ; _c26 cm.
490			_aGraduate studies in mathematics ; _v190
504			_aIncludes bibliographical references (pages 221-222) and index.
520			_aThe theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science. This book is a collection of selected topics in the theory of finite fields and related areas. The topics include basic facts about finite fields, polynomials over finite fields, Gauss sums, algebraic number theory and cyclotomic fields, zeros of polynomials over finite fields, and classical groups over finite fields. The book is mostly self-contained, and the material covered is accessible to readers with the knowledge of graduate algebra; the only exception is a section on function fields. Each chapter is supplied with a set of exercises. The book can be adopted as a text for a second year graduate course or used as a reference by researchers.
521			_aGraduate students and researchers interested in number theory, in particular, the theory of finite fields.
650		0	_aFinite fields (Algebra)
650		7	_aNumber theory -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aNumber theory -- Forms and linear algebraic groups -- Forms and linear algebraic groups.
650		7	_aNumber theory -- Algebraic number theory: global fields -- Algebraic number theory: global fields.
650		7	_aNumber theory -- Finite fields and commutative rings (number-theoretic aspects) -- Finite fields and commutative rings (number-theoretic aspects).
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/gsm-190-toc.pdf?_gl=1*6yzerg*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMyMjA1Ni4wLjAuMA..
856			_3Index _uhttps://www.ams.org/bookstore/pspdf/gsm-190-index.pdf?_gl=1*x5skdt*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMyMjE2NS4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/39653724-lectures-on-finite-fields-graduate-studies-in-mathematics?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35061 _d35061