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Nature, said Galileo, is 'a book written in the language of mathematics'. But why should this be? How can mathematics be at the heart of our universe? The great Hungarian physicist and Nobel laureate Eugene Wigner stressed that this 'unreasonable effectiveness' of mathematics at describing the world was a mystery demanding explanation. Here, Max Tegmark, one of the most original cosmologists at work today, takes us on an astonishing journey to solve that mystery. Part-history of the cosmos, part-intellectual adventure, Our Mathematical Universe travels from the Big Bang to the distant future via parallel worlds, across every possible scale - from the sub-atomic to the intergalactic - showing how mathematics provides the answers to our questions about the world. Where do we come from? What makes the universe the way it is? In essence, why are we here? With dazzling clarity, Max Tegmark ponders these deep mysteries and allows us to grasp the most cutting-edge and mind-boggling theories of physics. What he proposes is an elegant and fascinating idea: that our physical world not only isdescribed by mathematics, but that it is mathematics. Astoundingly, we may live in a mathematical universe.