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Most thoughtful people very much wish to count. And, by and large, they should count! But the truly important question is: are they able to count, followed closely by how do they count? This monograph is the second in a sequence devoted to special topics in Mathematics; in particular, those topics not covered in a standard High School mathematics core curriculum. As such, the target audience is mathematically motivated and/or intellectually curious High School students. This monograph, whose topic is Counting, presents a selection of observations and calculations that will hopefully surprise…mehr

Produktbeschreibung
Most thoughtful people very much wish to count. And, by and large, they should count! But the truly important question is: are they able to count, followed closely by how do they count? This monograph is the second in a sequence devoted to special topics in Mathematics; in particular, those topics not covered in a standard High School mathematics core curriculum. As such, the target audience is mathematically motivated and/or intellectually curious High School students. This monograph, whose topic is Counting, presents a selection of observations and calculations that will hopefully surprise the reader with just how complex an activity counting can be! It is hoped that by providing the reader this tiny glimpse into the enormous breadth of mathematics that he/she will be encouraged to venture further down this path. Like the topic of this monograph, Mathematics is essentially unlimited in its scope in ways >No mathematics beyond a standard High School mathematics curriculum is required to understand the technical material covered in this book. So if you are a curious grade school Math student, buckle up and prepare yourself for a wild ride. Do put on your best conceptual thinking cap.
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Autorenporträt
Rich Coco is a retired "Mathematicaphile", currently residing in the >After graduating from Woburn High School in May 1970, Rich attended UMass-Amherst that Fall. It was here at UMass that Rich fell hard for both Mathematics and his eventual wife Ida (as fate would have it, in that order). After graduating with a BA-Math degree, Rich was accepted into the Doctorate program (UMass-Amherst) for Mathematics in 1975. In the summer of 1978, Rich fled the Doctorate program (with a Master's Degree) for a seductive job opportunity at AT&T Bell Laboratories. He always imagined he would continue to pursue his Mathematical interests and finalize his PhD while working. Alas, life, constantly evolving technical direction at work, and an eventual transition into Software Engineering torpedoed any such fantasy. The final nail in that coffin was an in-house 2-year Masters Degree equivalency program in Software Engineering at ATT-BL. As he matured as a Software Engineer, Rich eventually left AT&T and worked at numerous startup companies and Enterprises (eg, Cisco, EMC, Schneider-Electric) as a Principal Engineer or Software Architect and had the good fortune to work across many different technology domains: Network Management, Crypto Security, Video Conferencing, and Tele-Medicine; to name a few. Through it all, Rich never quite got over his fascination with Mathematics. Now retired, he finally gets to re-engage with it. The intention is to write a series of monographs on special topics for the enthusiastic High School student, introducing him/her to topics, concepts, and ideas that they will not encounter in a standard High School curriculum. Though such topics and fields of endeavor are generally not encountered until one studies Mathematics formally at the college level, Rich believes many of them can be made accessible and comprehensible to an interested and motivated High School student. In this way, the student will get a glimpse into the extraordinary breadth, depth, and beauty of the field of study referred to as Mathematics. This will be a perspective that is inaccessible in the standard test-driven High School Mathematics curriculum.