Kenney M.J., Bezuszka S.J. Number Treasury^3: Investigations, Facts and Conjectures about More than 100 Number Families

3rd ed. — New Jersey: World Scientific, 2015. — 312 p. — ISBN: 978-9814603690This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers. A brief historical note accompanies the descriptions and examples of several of the families together with a mix of routine exercises and problems as well as some thought provokers to solve. Number Treasury³ especially aims to stimulate further study beyond the scope of the introductory treatment given in the book. The emphasis in Number Treasury³ is on doing not proving. However, the reader is directed to think critically about situations, to provide explanations, to make generalizations, and to formulate conjectures. To engage the reader from the start, the book begins with a set of rich Investigations. These are standalone activities that represent each of the chapters of the book.A Perfect Number of Investigations 28 = 1 + 2 + 4 + 7 + 14
Numbers Based on Divisors and Proper Divisors
Plane Figurate Numbers
Solid Figurate Numbers
More Prime Connections
Digital Patterns and Noteworthy Numbers
More Patterns and Other Interesting Numbers