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.
100 Clever Ways to Help you Understand and Remember the Most Important Theories
The founder of the Fine Arts Maths Centre at Central St Martins in London, Rich Cochrane presents a visually interesting ‘tourist’s guide to mathematics’ with 100 entries on mathematical theories, from basic ‘tricks of the trade’ (including axioms, theorems, induction and logic) to challenging topics such as transcendental numbers and fractional dimensions. Each entry comprises an overview, more specific details, cross references and a ‘hack’ – an easy way to remember the topic.
Idiot's Guides, As easy as its gets
In this Idiot’s Guide, Chris Monahan begins with a survey of calculus up to limits, derivatives and basic integration; then goes to cover length, area and volumes; definite and indefinite integrals; the infinite series and topics including vectors, differential equations and power series. There is also a final exam and the book ends with solutions to the ‘You’ve Got Problems’ in each chapter, practice problems and a glossary. Slightly off-mint and felt-tip mark on lower trimmed edge.
A Mind at Play
The Brilliant Life of Claude Shannon, Inventor of the Information Age
One of the key thinkers of the computer age, Claude Shannon worked as a cryptanalyst during the Second World War and his contributions to digital circuit design and information theory in the 1930s and 1940s made modern computing possible. This biography explores his life, academic achievements and influential personal projects, such as a maze-solving mouse (one of the first experiments in artificial intelligence) and the first design for a chess-playing computer.
Maths for Mums and Dads
Designed to help parents re-engage with mathematics, to shed light on how teaching methods have changed and, most importantly, to make the subject more fun for children and adults, this volume covers the basics of the primary school curriculum. It highlights common errors and includes sample questions, mock exam papers and a comprehensive glossary that offers a simple description and a visual or numerical example for each term.
The I Used to Know That Maths Activity Book
Stuff You Forgot From School
This elementary refresher course for adults aims to revive mathematical skills by explaining the basic concepts of arithmetic, fractions, probability, statistics, algebra, geometry and trigonometry and putting them into practice in 100 quizzes, each with introductory notes. Answers are at the back of the book.
An Expedition to the Outer Limits of Mathematics
Beginning by attempting to explain what infinity is, and why it is ‘easy to think about but hard to pin down’, this approachable guide uses carefully chosen analogies and classic thought experiments such as Hilbert's Hotel to help illuminate complex ideas. Eugenia Cheng presents mathematics as an exciting journey of discovery, and uses practical examples to help us understand the abstract concept of infinity in the context of our daily lives.
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 convey 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.
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 Puzzler's Dilemma
From the Lighthouse of Alexandria to Monty Hall, a Fresh Look at Classic Conundrums of Logic, Mathematics, and Life
‘A man is found hanging in a locked room with no furniture and a puddle of water under his feet. What happened?’ From ancient Greek paradoxes to the role of probability in television game shows (via the Rubik’s Cube, chess problems and crosswords) this entertaining book illustrates eleven classic types of logic puzzle, tells the stories behind their creation and shows how to go about solving them.
Mathematics for the Curious
For readers who are free of exams and the stress of having to get it right, Peter Higgins offers a chance ‘to wonder at the mathematical scenery’. Exploring questions such as ‘How many matches are played in a tennis tournament?’ and ‘What are your chances of winning the lottery?’ he gives an entertaining account of what mathematics can do.
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.