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 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.
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.
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.