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Energy of Knots and Conformal Geometry
Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problem in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting thorough numerical experiments.
The O’Hara Concern
The definitive biography of short story writer John O’Hara.
Frindleswylde
Hauntingly told and sumptuously illustrated, this wintry modern fairy tale is perfect for holiday sharing. When Frindleswylde is near, the wind trembles, the sun pales, and the wild things hide. When he enters Cora and Granny's house in the woods, Frindleswylde steals the light from their lantern, so Granny can’t find her way home after work in the dark. And when a determined Cora chases the mysterious boy down a hole in the fishpond to his frozen kingdom, he sets her three Impossible Tasks. If she completes them, she can take her light and go, or so he says. But can Cora resist the urge to forget? As fresh and sparkling as sunlight on ice, this beautifully illustrated tale of enchantment—reminiscent of Hans Christian Andersen’s “The Snow Queen”—celebrates the transformative power of love in the darkest of times, the unbreakable bond between grandparent and child, and the bright promise of springtime.
Commodork: Sordid Tales from a BBS Junkie
For nearly two decades, computer-based Bulletin Board Systems were the primary method of communication between computer users. As suddenly as they gained popularity, they were made obsolete by the next big thing - a newfangled system called the Internet.Commodork: Sordid Tales from a BBS Junkie takes its readers on an exciting journey through the BBS era. Through the author's personal tales and adventures, readers will discover more about these amazing times and what it was like to grow up online. With tales of copyfests, BBS parties and random acts of online debauchery, those who were there will find themselves reminiscing, while those who weren't will enjoy learning about life ""before the 'net.""You know, back when we used to modem uphill, both ways in the snow.
The Diverse World of PDEs
This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 13–17, 2021, at the Independent University of Moscow and Moscow State University, Moscow, Russia. The papers are devoted to various interrelations of nonlinear PDEs with geometry and integrable systems. The topics discussed are: gravitational and electromagnetic fields in General Relativity, nonlocal geometry of PDEs, Legendre foliated cocycles on contact manifolds, presymplectic gauge PDEs and Lagrangian BV formalism, jet geometry and high-order phase transitions, bi-Hamiltonian structures of KdV type, bundles of Weyl structures, Lax representations via twisted extensions of Lie algebras, energy functionals and normal forms of knots, and differential invariants of inviscid flows. The companion volume (Contemporary Mathematics, Volume 789) is devoted to Algebraic and Cohomological Aspects of PDEs.
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Geometric Folding Algorithms
Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
