The Irrationals
The Irrationals
Description
An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first century.
The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define - and why so many questions still surround them. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.
'The insides of this book are as clever and compelling as the subtitle on the cover. Havil, a retired former master at Winchester College in England, where he taught math for decades, takes readers on a history of irrational numbers--numbers, like v2 or p, whose decimal expansion 'is neither finite nor recurring.' We start in ancient Greece with Pythagoras, whose thinking most likely helped to set the path toward the discovery of irrational numbers, and continue to the present day, pausing to ponder such questions as, 'Is the decimal expansion of an irrational number random?'' Anna Kuchment, Scientific American
'The Irrationals is a true mathematician's and historian's delight.' Robert Schaefer, New York Journal of Books
Customers Also Viewed
BookLoop is your trusted local Australian destination for books, games, toys, puzzles, tarot cards, stationery, and thoughtful gifts, offering a huge range of carefully curated products for curious minds of all ages. As a proudly Australian-owned bookstore, we are passionate about connecting our community with inspiring reads, creative play, and unique finds that bring joy, spark imagination, and support lifelong learning. Whether you're shopping for bestselling fiction, children’s picture books, educational resources, or non-fiction titles that encourage mental health, mindfulness, and personal growth, our ever-expanding book collection has something for everyone—including titles from local Australian authors that celebrate homegrown talent and storytelling. But we’re more than just a bookstore—our diverse range includes engaging puzzles for solo or family fun, educational and screen-free toys designed to develop skills and creativity, and family-friendly board games that bring people together. If you're looking for something with a little extra meaning, our beautifully illustrated tarot cards and oracle decks are perfect for beginners and seasoned readers alike, with options chosen for their artistry, symbolism, and accessibility. We also carry a range of gifts and stationery, from handcrafted journals and high-quality pens to bookmarks, greeting cards, candles, and calming tools, making it easy to find the perfect present for birthdays, celebrations, or simply because. Every product on our shelves is selected with care, quality, and purpose, making BookLoop a one-stop shop for thoughtful, meaningful shopping that supports creativity and wellbeing. We believe in the value of small business and community connection, which is why we’re committed to sourcing products that reflect our values and offering the kind of friendly, personalised service that big retailers can’t match. When you shop with us, you’re not only choosing beautifully curated items—you’re supporting a local Australian business that genuinely cares. We ship Australia-wide with a flat rate to keep things simple and affordable, and every order is carefully packed and quickly dispatched by our small, dedicated team. Our online shopping experience is safe, easy, and user-friendly, making it convenient to explore our wide range of books, gifts, and games from the comfort of home. We’ve seen a growing demand for titles and toys that support mental health, especially in children and teens, and we’re proud to stock a growing number of books on ADHD, emotional regulation, positive thinking, and self-esteem, as well as calming puzzles and sensory-friendly gifts that are both fun and supportive. Whether you're looking to inspire a young reader, encourage imaginative play, find your next favourite novel, or gift someone something truly special, BookLoop has you covered. Thank you for choosing to shop local and support a business that believes in the power of stories, creativity, and connection—explore our full collection today and experience the difference of thoughtful, heart-led retail with BookLoop.