Pristine Landscapes in Elementary Mathematics

This book takes familiar ideas and extends them to a rich variety of problems. The intended audience is the ambitious high school or college student. The topics covered span algebra, geometry, number theory, and even a few elements of mathematical analysis. Each chapter explores specific themes and ideas that underlie the aforementioned subject areas. The ''landscapes'' presented provide a ''view'' into areas that are not typically encountered in great depth in standard coursework but nonetheless have profound implications.