03100nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003100137050001600168072001600184072002300200082001400223100003200237245010800269264003800377300003200415336002600447337002600473338003600499347002400535505021700559520140800776650001702184650001902201650001302220650002302233650001902256650001702275650001902292650005202311650002302363710003402386773002002420776003602440856004402476912001402520999001902534952007702553978-0-387-29854-2DE-He21320180115171358.0cr nn 008mamaa100301s2006 xxu| s |||| 0|eng d a97803872985429978-0-387-29854-27 a10.1007/0-387-29854-12doi 4aQA241-247.5 7aPBH2bicssc 7aMAT0220002bisacsh04a512.72231 aCoppel, William A.eauthor.10aNumber Theoryh[electronic resource] :bAn Introduction to Mathematics: Part B /cby William A. Coppel. 1aBoston, MA :bSpringer US,c2006. aX, 360 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aThe arithmetic of quadratic forms -- The geometry of numbers -- The number of prime numbers -- A character study -- Uniform distribution and ergodic theory -- Elliptic functions -- Connections with number theory. aUndergraduate courses in mathematics are commonly of two types. On the one hand are courses in subjectsâ€”such as linear algebra or real analysisâ€”with which it is considered that every student of mathematics should be acquainted. On the other hand are courses given by lecturers in their own areas of specialization, which are intended to serve as a preparation for research. But after taking courses of only these two types, students might not perceive the sometimes surprising interrelationships and analogies between different branches of mathematics, and students who do not go on to become professional mathematicians might never gain a clear understanding of the nature and extent of mathematics. The two-volume Number Theory: An Introduction to Mathematics attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A, which should be accessible to a first-year undergraduate, deals with elementary number theory. Part B is more advanced than the first and should give the reader some idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches, we may obtain a broad picture. Audience This book is intended for undergraduate students in mathematics and engineering. 0aMathematics. 0aMatrix theory. 0aAlgebra. 0aSpecial functions. 0aNumber theory.14aMathematics.24aNumber Theory.24aLinear and Multilinear Algebras, Matrix Theory.24aSpecial Functions.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978038729853540uhttp://dx.doi.org/10.1007/0-387-29854-1 aZDB-2-SMA c369396d369396 001040708EBookaelibbelibd2018-01-15r2018-01-15w2018-01-15yEBOOK