Mathematics

L3 Calculus can be an intimidating subject - but we're here for the journey with you! With this pack, you'll master L3 Maths with our standard walkthrough guides: -Differentiation -Integration -Complex Numbers

Humans today are often portrayed as cavemen out of time, poised to react to a lion in the grass with a suite of biases, blind spots, and illusions. But cognitive scientist and rational optimist Steven Pinker argues that this cannot be the whole picture. A list of the ways in whic...h we are stupid cannot explain how we're so smart: how we discovered the laws of nature, transformed the planet, and lengthened and enriched our lives. Indeed, if humans were fundamentally irrational, how did they discover the benchmarks for rationality against which humans fall short? The topic could not be more timely. In the 21st century, humanity is reaching new heights of scientific understanding - and at the same time appears to be losing its mind. How can a species that sequenced the genome and detected the Big Bang produce so much fake news, conspiracy theories, and 'post-truth' rhetoric? Rationality explains the key tools for rational thinking, guiding the reader through the basics of logic, critical thinking, probability, correlation and causation, and helping us to make rational choices alone and with others. Rationality matters. As the world reels from foolish choices made in the past and dreads a future that may be shaped by senseless choices in the present, rationality may be the most important asset that citizens and influencers command. Steven Pinker, the great defender of human progress, having documented how the world is not falling apart, now shows how we can enhance rationality in our lives and in the public sphere. Rationality is the perfect toolkit to seize our own fates.
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How fast can you calculate? Would you like to be faster? This book presents the time honored tricks and tips of calculation, from a fresh perspective, to boost the speed at which you can add - whether a couple of numbers, or columns so long an accountant may faint. Find out how t...o subtract, multiply, divide, and find square roots more quickly.
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What makes a bridge wobble when it's not meant to? How do billions of dollars mysteriously vanish into thin air? How does a building rock when its resonant frequency matches a gym class leaping to Snap's 1990 hit I've Got The Power? The answer is maths. Or, to be precise, what ha...ppens when maths goes wrong in the real world. As Matt Parker shows us, our modern lives are built on maths: computer programmes, finance, engineering. And most of the time this maths works quietly behind the scenes, until ... it doesn't. Exploring and explaining a litany of glitches, near-misses and mishaps involving the internet, big data, elections, street signs, lotteries, the Roman empire and a hapless Olympic shooting team, Matt Parker shows us the bizarre ways maths trips us up, and what this reveals about its essential place in our world. This book shows how, by making maths our friend, we can learn from its pitfalls. It also contains puzzles, challenges, geometric socks, jokes about binary code and three deliberate mistakes. Getting it wrong has never been more fun.
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How should a democracy choose its representatives? How does Covid-19 spread? How do computers teach themselves chess, and why is chess easier for them than analyzing a sentence? What should your kids study in school if they really want to learn to think? All of these are question...s about geometry. Seriously! Jordan Ellenberg reveals the mathematics behind some of the most important scientific, political and philosophical conundrums we face. The word 'geometry', from the Greek, means 'measuring the world'. If anything, geometry doesn't just measure the world, it explains it. Shape shows us how.
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