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.
The Birth of Modern Science in Medieval Europe
Histories of Western science often begin their narrative with Galileo’s battle to gain acceptance for Copernicus’ heliocentric model. But physicist John Freely sets out ‘to right this historical injustice’ by showing how a succession of European scholars as far back as the Dark Ages paved the way for the exciting discoveries of later centuries. Discussing the influential work of such figures as the Venerable Bede and Albertus Magnus, he identifies those ‘giants’ on whose shoulders Newton said he was standing.
The Edge of Physics
Dispatches from the Frontiers of Cosmology
Why is the universe’s expansion speeding up? What is ‘dark matter’? Are there other universes besides our own? This book follows the author’s travels in search of experiments taking place in the planet’s most inhospitable locations to answer such cosmological questions. It explains not only the theory, aims and practicalities of each cutting-edge project but also the challenges facing researchers, whether they are working deep inside an abandoned iron mine or at the top of Hawaii’s highest mountain.
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.