The Quality of Numbers One to Thirty-one
In these essays – one for each day of the month – Held demonstrates the fascinating qualities and associations, both cultural and scientific, of the first 31 integers. His ‘excursions into the realm of number’ visit such varied calling-points as the eleven-year sunspot cycle, humans’ 23 pairs of chromosomes, Snow White’s seven dwarves and Judas’ 30 pieces of silver.
The Humongous Book of Geometry Problems
The best way to learn about geometry is to work through lots of problems and proofs – but it can be frustrating when a textbook just gives you the answer without explaining clearly how to reach it. This collection of 1000 problems is fully annotated with tips and step-by-step solutions to guide you through basic rules and concepts, from parallel and intersecting lines to vectors, transformations and truth tables, by way of the key theorems for circles and triangles.
Alex Through the Looking-Glass
How Numbers Reflect Life and Life Reflects Numbers
Alex Bellos, author of Snowflake Seashell Star, takes the reader on a tour of his favourite mathematical concepts to reveal the hidden numbers that underpin our everyday lives. In the course of his travels he explores the Ordnance Survey's obsession with trigonometry, explains why rollercoasters are a monument to Newton's innovations, ponders why we have superstitions about certain numbers, delves into the mysteries of hyperboloids and meets an anonymous member of a secret mathematical sect.
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.
How Smart Are You?
Test Your Math IQ
How to improve your number skills: these 50 ten-question quizzes have an IQ-style scoring system that enables you to compare your performance with the average mark. The tests cover decimals and fractions, interest and percentages, means and medians and pose a range of algebraic word problems, interspersed with brief biographies of great mathematicians from Pythagoras to Andrew Wiles, who solved Fermat’s Last Theorem in 1994. American spelling and elastic closure.
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.
Suitable both for students beginning their study of algebra and for those who want to remember what they once knew, the nine chapters of this book progress from basic principles of addition and subtraction to the solution of quadratic equations. But everything is presented as painlessly as possible, with step-by-step guides to solving each kind of problem, advice on common mistakes to avoid and illustrative drawings and diagrams.
Abbo of Fleury and Ramsey
Commentary on the Calculus of Victorius of Aquitaine
This didactic work by Abbo of Fleury (c.945–1004) is a philosophical Commentary on the mathematical tables produced by Victorius of Aquitaine (fl.457) to facilitate calculations using Roman numerals and fractions. Latin texts of both Victorius and Abbo. No jacket.
Entropy of Hidden Markov Processes and Connections to Dynamical Systems
Papers from the Banff International Research Station Workshop
The mathematics of hidden Markov processes (HMPs) can be applied to many kinds of noise-related technologies, from speech and optical character recognition to biomolecular sequence analysis. This collection of nine papers from a 2007 workshop at the Banff International Research Station covers the entropy rate problem, or measure of randomness, of HMPs, with reference to informational theory, dynamical systems, statistical mechanics and probability theory.
The Story of Mathematics
From Creating the Pyramids to Exploring Infinity
In this very accessible and well-illustrated book, Anne Rooney traces humankind's greatest mathematical achievements, starting with innumerate cave-dwellers, then profiling the great mathematicians from Euclid to Bertrand Russell and David Hilbert, and explaining key developments such as solid geometry, calculus and statistical mathematics, up to 'the death of numbers' with set theory and fuzzy logic.
Birth of a Theorem
A Mathematical Adventure
What is it like to be a 'rock-star mathematician' praised by Patti Smith? How does an inspired mathematical idea become a published article? Cédric Villani received a Fields Medal in 2010 for his work on Landau damping and the Boltzmann equation; here he looks back at the development of this research, presenting emails exchanged with his collaborator Clement Mouhot and setting his academic work in the context of his everyday life.
How Algorithms Solve All Our Problems... and Create More
Our world is increasingly ruled by algorithms, the complex sets of step-by-step instructions that enable computers to sort, filter and select information. But is this always a positive development, and how did we come to believe in the all-conquering power of numbers? Combining journalism and scholarship, Dormehl investigates the role of algorithms in our modern lives and shows how these formulas are shaping human relationships and creativity, notions of identity and even matters of law.
The Marvellous Maths Workbook
If you recognize the value of maths but have never quite got to grips with some of the detail, Go Figure could be your formula for success. This guide to mastering the basics includes simple explanations and 100 short quizzes covering the six main areas of maths: arithmetic, fractions and probability, statistics, algebra, geometry and problem solving. All the answers are provided at the back of the book. Slightly off-mint.
The Complete Idiot's Guide to Pre-Algebra
'Pre-algebra' covers the maths techniques that everyone should know to navigate successfully through everyday life. This introduction sets out to provoke your mathematical creativity and curiosity, providing hints, tips and cautions alongside sample problems that will help you both to revise your existing knowledge and to learn new skills for dealing with such topics as fractions and percentages, area and volume, and the analysis of statistical data. American spelling. Age 11+ NB: there are errors in some of the examples
Taming the Infinite
The Story of Mathematics
The rise of civilization and mathematics have gone hand-in-hand and much of what we now take for granted – from suspension bridges to the stock market – relies on mathematical innovation: we simply could not function without the subject. Professor Stewart, a renowned popularizer of mathematics, traces its history from ancient tokens and tallies to chaos theory and complex systems, looking en route at the lives and achievements of great mathematicians such as Euclid, Archimedes, Fibonacci, Descartes, Newton and Gödel.
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.
How Big is Infinity?
The 20 Big Maths Questions
What is mathematics for, and where do numbers come from? Beginning with those fundamental questions, this accessible book introduces the work of history's greatest mathematical minds, from Pythagoras and Euclid to Fermat and Gödel, as well as setting out the perplexing problems which cutting-edge research is still trying to solve, such as the Riemann hypothesis. Previously published as The Big Questions: Mathematics.
Journey to the Centre of the Earth
The Remarkable Voyage of Scientific Discovery into the Heart of Our World
Inspired by the 150th anniversary of Jules Verne’s adventure novel, astronomer David Whitehouse turns his attention from the stars to what lies beneath our own planet’s surface. He describes how the science of seismology developed, explains its most significant discoveries and takes the reader to laboratories where scientists work to reproduce the conditions of intense pressure found deep inside the Earth, and to the site in Russia where years of drilling created a hole that descends more than 12,000 metres.
Written in Stone
The Hidden Secrets of Fossils and the Story of Life on Earth
Recently uncovered ‘transitional’ fossils, analysed by the growing discipline of paleobiology, have inspired Brian Switek to reassess the simplistic notion of the ‘missing link’ which has confounded evolutionists since Darwin.
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.
A History Through Fact and Fiction
Working spacesuits were not required until the 1960s, but the technology used reaches back to pressurized suits developed for aviators in the 1930s and further to diving suits of the 19th century. This exploration of the spacesuit mixes the history of technical development with the predictions and hypotheses of science fiction. The book is illustrated with archive photographs and diagrams, and classic sci-fi artwork from comic books and pulp fiction.
Useless Science Fact-o-pedia
A Startling Collection of Scientific Trivia You'll Never Need to Know
Although much of the Earth is covered in water, only 2.5 per cent of it is fresh water and a mere 1 per cent of that is accessible drinkable water – the rest is trapped in ice caps or deep underground. This compendium of scientific knowledge selects nearly 2,000 such nuggets of entertaining information about the universe, physics and the natural world.
Things That Are
Encounters with Plants, Stars and Animals
Amy Leach’s debut collection of creative non-fiction displays a remarkable fusion of enchanting poetic language, quirky humour and factual information relating to the natural world and our communion with it. From lilies and peas, frogs and beavers to the moon, constellations and exploding stars, each of these 26 short pieces is filled with what Olivia Laing has called a ‘tumultuous, incantatory rejoicing in the astonishing multiplicity of the Earth’.
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 Birth of the Pill
How Four Pioneers Reinvented Sex and Launched a Revolution
In the winter of 1950, 71-year-old Margaret Sanger met the scientist Gregory Pincus in New York City. Their meeting would change the world. This gripping account tells how Pincus and Sanger, a lifelong campaigner for women’s right to control their fertility, developed the contraceptive pill, funded by the philanthropist Katharine McCormick and supported by a charismatic Catholic doctor, John Rock, who battled his own church to win public approval for the controversial new drug.