000			nam a22 7a 4500
999			_c29364 _d29364
008			190219b xxu||||| |||| 00| 0 eng d
020			_a9781470430979
082			_a512.7 _bHUT
100			_aHutz, Benjamin
245			_aExperimental introduction to number theory
260			_aProvidence : _bAmerican Mathematical Society, _c2018
300			_axii, 313 p. : _bill. ; _c26 cm.
365			_aUSD _b79.00
440			_aPure and applied undergraduate texts ; 31
504			_aIncludes bibliographical references and index.
520			_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.
650			_aNumber theory
650			_aInstructional exposition
650			_aElementary number theory
650			_aDiophantine equations
650			_aProbabilistic theory
650			_aMetric theory of algorithms
650			_aDiophantine approximation
650			_aFinite fields and commutative rings
650			_aPolynomials
650			_aDynamical systems and ergodic theory
650			_aRational maps
650			_aNon-Archimedean dynamical systems
650			_aArithmetic
942			_2ddc _cBK