TY - BOOK
AU - Hutz, Benjamin
TI - Experimental introduction to number theory
SN - 9781470430979
U1 - 512.7
PY - 2018///
CY - Providence
PB - American Mathematical Society
KW - Number theory
KW - Instructional exposition
KW - Elementary number theory
KW - Diophantine equations
KW - Probabilistic theory
KW - Metric theory of algorithms
KW - Diophantine approximation
KW - Finite fields and commutative rings
KW - Polynomials
KW - Dynamical systems and ergodic theory
KW - Rational maps
KW - Non-Archimedean dynamical systems
KW - Arithmetic
N1 - Includes bibliographical references and index.
N2 - This 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.
ER -