Topology is the study of properties of geometrical objects that remain invariant as the object is bent, twisted, or otherwise continuously deformed. It has been an indispensable tool in particle physics and solid state physics for decades, but in recent years it has become increasingly relevant in classical and quantum optics as well. It makes appearances through such diverse phenomena as Pancharatnam-Berry phases, optical vortices and solitons, and optical simulations of solid-state topological phenomena. This book concisely provides the necessary mathematical background needed to understand these developments and to give a rapid survey of some of the optical applications where topological issues arise.

Topology is the study of properties that remain unchanged under bending, twisting, and stretching of a system. Long important in other areas of physics, topology has recently become a vital tool in optics and photonics as well, leading to a broad range of unexpected phenomena such as knotted and linked optical vortices and topologically protected states that are immune to environmental disruption. Topology in Optics: Tying Light in Knots (Second Edition) covers the background needed to follow these developments and provides a brief survey of topological effects in optics. Assuming only a background in physics at the advanced undergraduate level, it requires no prior familiarity with topology. Revised and expanded with two new chapters. Topological Photonics and Optical Knots and Links, this will be an invaluable reference for undergraduate and graduate students as well as researchers and engineers in optics and related areas. Book jacket.

Precise illustrations demonstrate each step. DVD features Lefty Kreh tying 30 of his favorite knots and reinforcing techniques in the text.

Learn the ropes of erotic bondage with a discreet knot-tying guide featuring a playful ribbon-tie closure. Follow the step-by-step illustrations and discover how to restrain your partner simply and safely. You'll also learn how to fashion a suggestive rope corset, a crop for spanking, and other bedroom tricks that will have you bound for adventure!

This book brings together twenty essays on diverse topics in the history and science of knots. It is divided into five parts, which deal respectively with knots in prehistory and antiquity, non-European traditions, working knots, the developing science of knots, and decorative and other aspects of knots.Its authors include archaeologists who write on knots found in digs of ancient sites (one describes the knots used by the recently discovered Ice Man); practical knotters who have studied the history and uses of knots at sea, for fishing and for various life support activities; a historian of lace; a computer scientist writing on computer classification of doilies; and mathematicians who describe the history of knot theories from the eighteenth century to the present day.In view of the explosion of mathematical theories of knots in the past decade, with consequential new and important scientific applications, this book is timely in setting down a brief, fragmentary history of mankind's oldest and most useful technical and decorative device — the knot.

An acclaimed artist celebrates the creative possibilities of macramé and knots in this memoir and guide featuring projects and tutorials. Every day for a year, artist Windy Chien learned to tie a new kind of knot and then shared the results on Instagram—a project that both reinvented her life and revolutionized knot art. In The Year of Knots, Chien describes how knot-making led her on a path of discovery. She shares projects, tutorials, and transformative personal stories, all aimed at inspiring readers to make knotting—and creativity in general—part of a meditative daily practice. The knots in this book are gorgeously documented step-by-step. Knotted projects abound—from wall hangings to a necklace, a dog leash, a hanging light, and more. At the heart of the story is the simple, empowering idea that a single year is all the time you need to make a life-changing creative leap.

What else needs to be said about knots? Almost 650 pages of incredible knowledge, presented in a truzly unique manner. This is not a book of knots, it is the BOOK OF KNOTS. Was muss noch über Knoten gesagt werden? Fast 650 Seiten unglaubliches Wissen, präsentiert in einer wahrhaft einzigartigen Weise. Dies ist kein Buch über Knoten, es ist das BUCH DER KNOTEN.