What's the difference? Mathematics

Dr. Adam Sykulski is an Associate Professor in the Department of Mathematics at Imperial College London. His research in statistics has been published widely in academic journals, with an application focus in environmental, climate and ocean sciences. He is a trustee and former journal editor for the Royal Statistical Society, and has held previous academic positions at University College London, Lancaster University, and NorthWest Research Associates in the USA.

• Introduction    How to use this book  Numbers           Numbers — numeralswhole numbers — decimalsintegers — real numberseven numbers — odd numbersgreater than — less thancounting — sortingrounding — approximatingprecision — accuracypowers — rootsbrackets — indicesfractions — percentagesratio — proportionpercentage change — percentage differenceequalities — inequalitiesfactors — multipleshighest common factor — lowest common multipleprime numbers — Fibonacci numbersrational numbers — irrational numbersinfinity — recurring numberspi — golden ratioimaginary numbers — Euler’s numberfactorials — fractalspermutations — combinations Shapes                geometry — trigonometryedge — vertexangles — right anglesequilateral — isoscelesradius — circumferencearea — perimetervolume — surface areadegree — radianparallel — perpendicularparallelogram — trapeziumsymmetry — asymmetryrotation — translationlocus — chordconvex — concave Algebra and calculus               algebra — calculusinputs — outputslinear — nonlinearcontinuous — discreteconstants — variablesidentity — equationtheory — theoremproof — assumptionlemma — corollaryproof by induction — proof by contradictioninverse function — composite functionpolynomial — exponentialexponential growth — exponential decaylogarithm — algorithmgradient — interceptupper bound — lower boundparabola — hyperboladifferentiation — integrationvector — matrixsequences — seriesconvergence — divergencearithmetic sequence — geometric sequenceFermat’s last theorem — the Riemann hypothesis Probability and statistics     probability — statisticsprobabilities — oddsmean — medianquartiles — percentilesstandard deviation — variancebar charts — pie chartsVenn diagram — tree diagramintersection — unioncorrelation — causationsystematic error — random errorexperiment — observationindependent variables — dependent variablesinterpolation — extrapolationqualitative — quantitativenecessary — sufficient Glossary             Index