Richard Earl is Director of Undergraduate Studies in the Mathematical Institute, University of Oxford, and Senior Mathematics Tutor at Worcester College, Oxford. He has taught a range of pure and applied mathematics at undergraduate and graduate level, specializing in algebra, geometry, and topology, as well as presenting various mathematics to secondary school students at masterclasses and summer schools. He is the author of Towards Higher Mathematics: A Companion (CUP, 2017), and Topology: A Very Short Introduction (OUP, 2019). James Nicholson has a mathematics degree from Cambridge, and taught at Harrow School for twelve years before becoming Head of Mathematics at Belfast Royal Academy in 1990. From 2003 he has worked mostly with the School of Education at Durham University and as an education consultant for a variety of organizations. He is the author of four A-level Statistics texts, two GCSE Mathematics revision guides, and he is a contributing author for a number of other mathematics textbooks.
List of contributors
Preface
A to Z entries
Areas and volumes
Centres of mass
Moments of inertia
SI units and constants
Geometry: equations of lines and planes
Basic algebra
Derivatives
Integrals
Common ordinary differential equations and solutions
Series
Convergence tests for series
Common inequalities
Trigonometric formulae
Probability distributions
Vector algebra and differential operators
Groups of orders up to 15
List of primes up to 1000
Symbols
Greek letters
Roman numerals
Fields Medal winners
Millennium Prize problems
Historical timeline
