A Curious History
Euclid, Fibonacci, Fermat and Gauss are some of the distinguished mathematicians featured in this illustrated introduction to the history of mathematics, which ranges from prehistoric arithmetic through Renaissance accountancy to modern-day chaos theory. Key concepts, including geometry, algebra, trigonometry and calculus are discussed in non-technical, accessible language, with minimal use of symbols, jargon or complex techniques.
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 1,000 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.
At the Edge of Infinity and Beyond
Aleph-null is the cardinality, or size, of the set of natural numbers, and is a ‘countably infinite cardinal’. Remarkably, whereas 1 + 1 = 2, 1 + aleph-null = aleph-null. The authors of this advanced maths explainer utilize plain English in an attempt to understand difficult mathematical concepts, including large numbers, higher dimensions, computation and primes, fusing historical, philosophical and anecdotal aspects of each concept with the decidedly technical. Slightly off-mint.
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 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.
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.
Suitable both for students beginning their study of algebra and for those who want to recollect what they once knew, these nine chapters progress from basic principles of addition and subtraction to the solution of quadratic equations. 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.
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.
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 Telomerase Revolution
The Enzyme That Holds the Key to Human Aging... and Will Soon Lead to Longer, Healthier Lives
Why does growing old lead to so many forms of illness? Recent advances in the study of human cells have revealed that the key to answering this question lies in the telomeres – the tips of chromosomes – which shorten every time a cell reproduces. As he explains these insights, Fossel highlights the ability of the enzyme telomerase to re-lengthen the telomeres and discusses its potential as a means of treating age-related diseases such as Alzheimer’s.
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.
The Universe in Your Hand
A Journey Through Space, Time and Beyond
As he sets off to conduct a journey through the universe, the astrophysicist Christophe Galfard aims to ‘not leave any readers behind’ and promises to use only one equation (E=mc²). In a widely acclaimed, non-scientists’ introduction to modern physics and cosmology, Galfard uses humour, storytelling and thought experiments to make concepts such as electromagnetism, quantum mechanics, general relativity and black holes intelligible to all of us.
Rubik's Quest: Cube Countdown
The Rubik’s-cube core of the world’s most important computer has been stolen, and it’s the reader’s mission to recover it. Rather than reading from front to back, young adventurers must use their knowledge of shape, geometry and patterns – as well as their common sense – to solve the puzzles and plot their own unique path through the story. Age 7+
As Easy as Pi
Stuff about Numbers that isn't (just) Maths
Numbers are all-pervasive in our world; Pythagoras even said they rule the universe. This guide to the numbers of everyday life explains how they influence our religion, myth, fiction and linguistic idioms, why some numbers are considered lucky or unlucky, how they are exploited in games and scams, and their vital role in the realms of mathematics and science.
Help Your Kids with Maths
A Unique Step-by-Step Visual Guide
From basic arithmetic to geometry, algebra and statistics, this volume presents maths in an easily accessible way. For multiplication, for example, numbers in a calculation are expressed visually, and a chart shows patterns of multiplication, making tables easier to understand and remember.
The I Used to Know That Maths Activity Book
Stuff You Forgot From School
This elementary refresher course, aimed at adults wishing to revive their maths skills, explains the key concepts of arithmetic, fractions, probability, statistics, algebra, geometry and trigonometry. Simple step-by-step quizzes on each subject (100 in total) include straightforward calculations, equation solving and multiple-choice questions. There are also a few shapes to draw. Answers are provided at the back.
Out of the Shadow of a Giant
How Newton Stood on the Shoulders of Hooke and Halley
Arguing that British science would not have developed very differently without Newton, the authors demonstrate his indebtedness to the achievements of his contemporaries, in particular Hooke, from whom he ‘borrowed’ many ideas, and Halley, who encouraged and paid for the publication of the Principia.
Mathematics for the Million
How to Master the Magic of Numbers
Since it appeared in 1936, this comprehensive course has helped demystify mathematics and clarify the practical applications of everything from simple arithmetic to calculus. Taking an unusual approach to the subject, Hogben sets mathematics in the cultural context of its intended use, whether to meet the needs of ancient pyramid architects or provide the celestial geometry required to navigate by the stars.