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.
A Brief History of Mathematical Thought
In this concise and engaging book, Heaton traces the history of mathematical practice, focusing on conceptual innovations. From Stone Age rituals to algebra, calculus and the concept of computation, he aims to provide 'an informal and poetic guide to a range of mathematical thoughts'. He also looks at the role of mathematics in our attempts to comprehend the world around us, and at the profound influence of mathematical language.
A Brief Guide to the Great Equations
The Hunt for Cosmic Beauty in Numbers
From 1+1=2 and Pythagoras' theorem to the work of Einstein and Heisenberg, Crease tells the stories and personal struggles behind the creation of the most fundamental, powerful and influential equations. He also considers what each equation reveals about the cultural and historical background that produced it and the effects, often unforeseen by their originators, which these pithy distillations of knowledge have had on later generations.