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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.
Description
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.
