Vector : A Surprising Story of Space, Time, and Mathematical Transformation

**Winner, NSW History Awards 2025, General History Prize** 'The story I’ll tell here is about the evolution of the way we humans record and make sense of all the data that swirl around us...’ Vector takes readers on an extraordinary 5000-year journey through the human imagination. The stars of this book, vectors and tensors, are unlikely celebrities. Yet mathematician and science writer Robyn Arianrhod shows how they enabled physicists and mathematicians to think in a brand-new way. They inspired James Clerk Maxwell to usher in the wireless electromagnetic age; Albert Einstein to predict the curving of space-time and the existence of gravitational waves; Paul Dirac to create quantum field theory; and Emmy Noether to connect mathematical symmetry and the conservation of energy. Today, you’re likely relying on vectors or tensors each time you pick up your mobile phone, use a GPS, or search online. In Vector, Robyn Arianrhod shows the genius required to reimagine the world — and how a clever mathematical construct can dramatically change discovery’s direction. ‘In Vector, Arianrhod shows, with beautiful ease, that maths is not some foreign world only geeks inhabit. It is the world around us.’ ― Adam Spencer, author of Adam Spencer's Big Book of Numbers: Everything you wanted to know about the numbers 1 to 100 ‘Arianrhod’s Vector, a masterpiece of science exposition, reads as a welcoming cognitive cliffhanger tour of vectors, their generalizations, and their accompanying symbolic tools of mathematical physics, all dovetailing through germane history vignette accounts of astonishing connections and applications.’ ― Joseph Mazur, author of The Clock Mirage: Our Myth of Measured Time ‘A vector is quantity that has magnitude and, crucially, direction. This idea has enabled physicists and mathematicians to imagine and describe the world in new dimensions. The author traces the influence of vectors over the past 5,000 years, and why vectors (and tensors) are still relevant to