UnSOLVED

Looking for challenging and engaging math that extends beyond finding answers? UnSOLVED: Advanced Yet Accessible Problems in Mathematics is a series of guided explorations into problems that remain unsolved in the world of mathematics. There are no solutions; they have not been proven true or false. Each book in the series presents a different unsolved problem in an easily accessible context, yet reveals an advanced depth of understanding. Follow along to discover patterns, examine special cases, and learn about these mathematical mysteries. Mathematicians of all ages can participate in these tasks by applying elementary math concepts.

Low Floor: everyone can get on board, simple starting point

High Ceiling: room to grow and stretch beyond the start, not limiting

UnSOLVED: Egyptian Fractions

The problems posed in this book focus on the way ancient Egyptians used fractions. They expressed fractions as the sum of distinct unit fractions. Many mathematicians are curious about Egyptian fractions. In this book, you will find conjectures by Robert H. Breusch, Ernst G. Straus, Paul Erdos, and an algorithm from Fibonacci, all utilizing Egyptian Fractions. The work leans heavily on common denominators, factors, multiples, equivalency, and adding and subtracting fractions. Some work with prime and composite numbers also appears. Children and adults will explore patterns, structures, and relationships within this mathematical mystery by applying elementary math concepts. What exactly is unsolved in these Egyptian Fraction problems?