Are Numbers Real?
The Uncanny Relationships Between Maths and the Physical World
Brian Clegg explores a question fundamental to science: would numbers still exist without people to think about them, or is mathematics just a tool to help us understand the universe? Beginning with the devising of a new system to count goats, he traces the history of numbers, explaining their application to our everyday lives and asking whether the direction of contemporary physics has become too influenced by mathematics.
Number Treasury 3
Investigations, Facts and Conjectures About More than 100 Number Families
Written as a resource for both teachers and students, this enlarged third edition of Number Treasury is designed to guide readers through the steps that will help them to think critically, to provide explanations and to formulate conjectures about different families of positive integers. Its 137 exercises and 28 'investigations', at three levels of difficulty, cover such intriguing topics as magic squares, palindromic numbers and twin primes. Detailed solutions are provided at the back of the book.