The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
Kicking off the lectures with a mind-boggling stunt to prove how counterintuitive our gut instincts can be, Hannah launches into a lecture full of daring live experiments and surprising discoveries. From predicting the chance of snow at Christmas to dodging erupting volcanoes with Prof Chris Jackson, Hannah explores whether we really can predict the future. She meets the maths gurus behind Liverpool Football Club's winning streak to spill the beans on how analysing the numbers can give a team an edge in the Premier League, and reveals the tricks to perfecting your Christmas cracker pull to win the prize every time. Hannah also gathers tips from mind-performance coach Dr Michael Gervais, the 'secret weapon' crafting Olympic athletes' lucky mindsets, and the man responsible for Felix Baumgartner's jump from space, when 'first time lucky' meant life or death. Enrolling the help of maths comedian Matt Parker for the pinnacles of the lecture, the duo find order in unruly crowds, and whittle the audience down to the luckiest person in a series of challenges, before finally putting them to the test to prove whether they truly are one in a million. Using a host of maths tricks - from probability to game theory - Hannah discovers if we can in fact make our own luck, and ultimately shares the secrets to help us all lead luckier lives.
Predictions underlie nearly every aspect of our lives, from sports, politics, and medical decisions to the morning commute. With the explosion of digital technology, the internet, and “big data,” the science of forecasting is flourishing. But why do some predictions succeed spectacularly while others fail abysmally? And how can we find meaningful patterns amidst chaos and uncertainty? From the glitz of casinos and TV game shows to the life-and-death stakes of storm forecasts and the flaws of opinion polls that can swing an election, “Prediction by the Numbers” explores stories of statistics in action. Yet advances in machine learning and big data models that increasingly rule our lives are also posing big, disturbing questions. How much should we trust predictions made by algorithms when we don’t understand how they arrive at them? And how far ahead can we really forecast?
Stuff happens. The weather forecast says it’s sunny, but you just got drenched. You got a flu shot—but you’re sick in bed with the flu. Your best friend from Boston met your other best friend from San Francisco. Coincidentally. What are the odds? Risk, probability, chance, coincidence—they play a significant role in the way we make decisions about health, education, relationships, and money. But where does this data come from and what does it really mean?
We are bad at making decisions. According to science, our decisions are based on oversimplification, laziness and prejudice. And that's assuming that we haven't already been hijacked by our surroundings or led astray by our subconscious! Featuring exclusive footage of experiments that show how our choices can be confounded by temperature, warped by post-rationalisation and even manipulated by the future, Horizon presents a guide to better decision making, and introduces you to Mathematician Garth Sundem, who is convinced that conclusions can best be reached using simple maths and a pencil!