Integrates abstract algebra into elementary number theory to enhance students' understanding Offer numerous IBL explorations that allow students develop insights for forthcoming material Written in an engaging, whimsical style to motivate and inspire students

Autorentext

Cam McLeman is Associate Professor of Mathematics at the University of Michigan-Flint. Erin McNicholas is Professor of Mathematics at Willamette University in Salem, Oregon. Colin Starr is a Professor of Mathematics at Willamette University in Salem, Oregon.

Inhalt
Preface.- What is a Number?- A Quick Survey of the Last Two Millenia.- Number Theory in $\mathcal{Z}$ Beginning.- Number Theory in the Mod-n Era.- Gaussian Number Theory: $\mathcal{Z}[i]$ of the Storm.- Number Theory: From Where We $\mathcal{R}$ to across the $mathcal{C}$.- Cyclotomic Number Theory: Roots and Reciprocity. Number Theory Unleashed: Release $\mathcal{Z}_p$!- The Adventure Continues.- Appendix: Number Systems.