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.
Build Your Own Time Machine
The Real Science of Time Travel
Although HG Wells’s Victorian time machine would not have worked, there is no law of physics that prevents travel through the fourth dimension. Brian Clegg combines his enthusiasm for science fiction with his insights as a writer on real science to explore ways in which time travel could theoretically be achieved. He also traces the development of our modern understanding of time, from Einstein’s first daydreams about the speed of light to neutrino experiments and the latest theories about wormholes.
The Remarkable Lives of Numbers
A Mathematical Compendium from 1 to 200
For those who have never heard of Keith numbers or Euler bricks but think they sound interesting, Derrick Niederman offers an engrossing miscellany to satisfy the ‘intellectually curious’. He sets out the arithmetic, geometry and stories of every number from 1 to 200: the 20-sided icosahedron, we learn, is the structure within many viruses; and 42, apart from being the answer to everything, was how many boxes Lewis Carroll gave the Baker in The Hunting of the Snark.