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Science and maths have never been the preserve of lone geniuses: collaboration has always been at the heart of intellectual endeavour. But to this day, men like Einstein remain the pervasive archetype of genius and the intellectual contributions of women past and present have gone unacknowledged. x+y is one mathematician's manifesto for how we can fix that - and why that requires rethinking how we think about thinking itself.

What's the Use? asks why there is such a vast gulf between public perceptions of mathematics and reality. It shows how mathematics is vital, often in surprising ways, behind the scenes of daily life. How politicians pick their voters. How an absurd little puzzle solved 300 years ago leads to efficient methods for kidney transplants. How an Irish mathematician's obsession with a new number system improves special effects in movies and computer games. How SatNav relies on at least six mathematical techniques.

Condensed matter physics is what happens when atoms cluster together to make something of a size we can understand—something like a car, say, rather than a galaxy. It's what makes things hover in mid-air or crystals glow (thermoluminescence). It's also what we mean by magick. Join Felix Flicker on an empirical adventure in condensed matter physics, the scientific mechanism behind the mysteries of alchemy, transmogrification, and much more. This is the one-stop guide on how to harness the enigmatic workings of the natural world to become a thoroughly modern wizard.

Why does it feel like something to be alive? For one of the boldest thinkers in neuroscience, solving this puzzle has been a lifetime's quest. Now at last, Mark Solms, who discovered the brain mechanism for dreaming, has arrived at his answer. More than just a philosophical argument, the Free Energy theory will profoundly change how you understand your own existence.

Our scientists might be armed with giant telescopes and powerful particle accelerators, yet their goal is the same one that has impelled the human imagination since ancient times: to show us our place in the universe. The result of their collective efforts is a complex story. At times it stretches the imagination just as much as the old creation myths. But its building blocks give us the power to work marvels our predecessors could scarcely comprehend. In Genesis, Guido Tonelli sets out 'to do justice to the great origin story that modern science gives us'.

Why do some ideas take off - and others fail to spread? Why are some diseases predictable and others swamped in uncertainty? And what about the outbreaks that never happen at all? We live in a world that's more connected than ever before. But even as we see our lives being shaped by the spread of ideas, trends - and even diseases - we sometimes struggle to grasp how it actually works. Outbreaks seem to be driven by randomness and hidden laws, and in order to understand them, we need to start thinking like mathematicians.