02044nam a22003497a 4500999001700000008004100017020001800058082001500076100001900091245004700110260005500157300003400212365001500246440004600261504005200307520082700359650001801186650002901204650002901233650002601262650002501288650003201313650003001345650004001375650001601415650004101431650001801472650003801490650001601528942001201544952013801556 c29364d29364190219b xxu||||| |||| 00| 0 eng d a9781470430979 a512.7bHUT aHutz, Benjamin aExperimental introduction to number theory aProvidence :bAmerican Mathematical Society,c2018 axii, 313 p. :bill. ;c26 cm. aUSDb79.00 aPure and applied undergraduate texts ; 31 aIncludes bibliographical references and index. aThis book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data. Each topic is motivated by a question to be answered, followed by some experimental data, and, finally, the statement and proof of a theorem. There are numerous opportunities throughout the chapters and exercises for the students to engage in (guided) open-ended exploration. At the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and proving theorems. aNumber theory aInstructional exposition aElementary number theory aDiophantine equations aProbabilistic theory aMetric theory of algorithms aDiophantine approximation aFinite fields and commutative rings aPolynomials aDynamical systems and ergodic theory aRational maps aNon-Archimedean dynamical systems aArithmetic 2ddccBK 00102ddc406512_700000000000000_HUT70939585aDAIICTbDAIICTd2019-02-18eKushal Booksg5861.80o512.7 HUTp031775r2019-02-19yBK