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Indra's Pearls
Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
Kings of Quarantine
Cruel. Heartless. Quarantined.The ruthless boys of Everlake Prep never saw lockdown coming.But the virus isn't their number one enemy.I am. And as if being confined to a boarding school for the elite wasn't bad enough, now I'm stuck in isolation with the boys who hate me most too. Saint, Kyan and Blake. The Night Keepers. Or so they call themselves. They've embodied the Native American legend which lives in this valley, taking on the role of the monsters who lurk in the forest. And though they act like beasts, they may also be the most tempting creatures I've ever seen. With the virus escalating and my dad's name splashed through the news, my entire world is falling apart. What he did has ca...
Providence
“Part love story, part supernatural thriller and completely engrossing” (People)—from the acclaimed author of You, now a hit Netflix series IN DEVELOPMENT AS A PEACOCK ORIGINAL SERIES FROM THE EXECUTIVE PRODUCERS OF YOU “A dark beauty of a book, Providence kept me up at night with characters that made my heart a little bigger.”—Jessica Knoll, New York Times bestselling author of Luckiest Girl Alive Best friends in small-town New Hampshire, Jon and Chloe share an intense, near-mystical bond. But before Jon can declare his love for his soul mate, he is kidnapped, and his plans for a normal life are permanently dashed. Four years later, Jon reappears. He is different now: bigger, st...
The Time Travel Diaries
From the million-copy-selling author of The Roman Mysteries comes a nail-biting time-travel adventure in Roman London - where past meets present. Billionaire Solomon Daisy is obsessed with the skeleton of a blue-eyed girl from Roman London. He has managed to invent a Time Machine so that he can go and find her, but it's estimated that for each hour spent in the past, the time traveller's life will be shortened so Solomon recruits a potential child time traveller: Alex Papas, a twelve-year-old boy who knows a smattering of Greek and Latin. Alex's mission is to go back to Londinium through a portal in London's Mithraeum and find out all he can about the blue-eyed girl. There are just three rules: 1. Naked you go and naked you must return. 2. Drink, don't eat. 3. As little interaction as possible. But Time Travel is no picnic - and Roman London is far more dangerous than anyone could have known.
Handbook of Teichmüller Theory
The Teichmuller space of a surface was introduced by O. Teichmuller in the 1930s. It is a basic tool in the study of Riemann's moduli spaces and the mapping class groups. These objects are fundamental in several fields of mathematics, including algebraic geometry, number theory, topology, geometry, and dynamics. The original setting of Teichmuller theory is complex analysis. The work of Thurston in the 1970s brought techniques of hyperbolic geometry to the study of Teichmuller space and its asymptotic geometry. Teichmuller spaces are also studied from the point of view of the representation theory of the fundamental group of the surface in a Lie group $G$, most notably $G=\mathrm{PSL}(2,\mat...
Caroline's Battle
Continues the story of Caroline Abbott, a young girl living during the War of 1812.
Geometry, Topology And Dynamics Of Character Varieties
This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010.Aimed at graduate students in the early stages of research, the edited and refereed articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts. Topics include hyperbolic structures on surfaces and their degenerations, applications of ping-pong lemmas in various contexts, introductions to Lorenzian and complex hyperbolic geometry, and representation varieties of surface groups into PSL(2, ℝ) and other semi-simple Lie groups. This volume will serve as a useful portal to students and researchers in a vibrant and multi-faceted area of mathematics.
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