Knotted Surfaces and Their Diagrams


Book Description

In this book the authors develop the theory of knotted surfaces in analogy with the classical case of knotted curves in 3-dimensional space. In the first chapter knotted surface diagrams are defined and exemplified; these are generic surfaces in 3-space with crossing information given. The diagrams are further enhanced to give alternative descriptions. A knotted surface can be described as a movie, as a kind of labeled planar graph, or as a sequence of words in which successive words are related by grammatical changes. In the second chapter, the theory of Reidemeister moves is developed in the various contexts. The authors show how to unknot intricate examples using these moves. The third chapter reviews the braid theory of knotted surfaces. Examples of the Alexander isotopy are given, and the braid movie moves are presented. In the fourth chapter, properties of the projections of knotted surfaces are studied. Oriented surfaces in 4-space are shown to have planar projections without cusps and without branch points. Signs of triple points are studied. Applications of triple-point smoothing that include proofs of triple-point formulas and a proof of Whitney's congruence on normal Euler classes are presented. The fifth chapter indicates how to obtain presentations for the fundamental group and the Alexander modules. Key examples are worked in detail. The Seifert algorithm for knotted surfaces is presented and exemplified. The sixth chapter relates knotted surfaces and diagrammatic techniques to 2-categories. Solutions to the Zamolodchikov equations that are diagrammatically obtained are presented. The book contains over 200 illustrations that illuminate the text. Examples are worked out in detail, and readers have the opportunity to learn first-hand a series of remarkable geometric techniques.




The Knotted Thong


Book Description

D.M. Hooley has now reexamined Persius in light of developments in contemporary critical thinking, particularly that which builds upon classical imitation theories. Addressing each of the six Satires as well as the introductory "Choliambics," Hooley contends that one of the most conspicuous features of Persius' verse, its allusiveness, is a key to this desiderated view. The long-recognized, exceptionally high frequency of imitations of and allusions to the works of Horace and others can be seen not as a mark of artistic immaturity but as a technique intended to engage other voices in the expression of a poem's meaning. Seen as an aspect of structural and thematic strategy, the pattern of Persius' engagement with the words of other poets reveals a remarkable and hitherto unregarded coherence in the Satires.




Crossed & Knotted


Book Description

Crossed & Knotted is India’s first Composite Novel, a book written by fourteen authors in close collaboration with each other. The chapters, each a story in itself, are knotted with one another through characters, events, settings and emotions. The result is a read that crisscrosses through a multitude of emotions bringing out deep rooted human desires. They narrate tales of love and betrayal, suspense and mystery, courage and dilemma, along with hope and resilience. Read it for a taste so tantalizing, that your mind will surely be craving for more!




The Knotted Cord


Book Description

As a boy runs from bullies, he is transported to another world. In this world, he may be the subject of an ancient prophecy. An evil may be waiting to stop him if it knows he is there. Join him as he travels to bring the prophecy to its fulfillment.




The Knotted Subject


Book Description

Surrealist writer André Breton praised hysteria for being the greatest poetic discovery of the nineteenth century, but many physicians have since viewed it as the "wastebasket of medicine," a psychosomatic state that defies attempts at definition and cure and that can be easily mistaken for other pathological conditions. In light of a resurgence of critical interest in hysteria, leading feminist scholar Elisabeth Bronfen reinvestigates medical writings and cultural performance to reveal the continued relevance of a disorder widely thought to be a romantic formulation of the past. Through a critical rereading, she develops a new concept of hysteria, one that challenges traditional gender-based theories linking it to dissatisfied feminine sexual desire. Bronfen turns instead to hysteria's traumatic causes, particularly the fear of violation, and shows how the conversion of psychic anguish into somatic symptoms can be interpreted today as the enactment of personal and cultural discontent. Tracing the development of cultural formations of hysteria from the 1800s to the present, this book explores the writings of Freud, Charcot, and Janet together with fictional texts (Radcliffe, Stoker, Anne Sexton), opera (Mozart, Wagner), cinema (Cronenberg, Hitchcock, Woody Allen), and visual art (Marie-Ange Guilleminot, Cindy Sherman). Each of these creative works attests to a particular relationship between hysteria and self-fashioning, and enables us to read hysteria quite literally as a language of discontent. The message broadcasted by the hysteric is one of vulnerability: vulnerability of the symbolic, of identity, and of the human body itself. Throughout this work, Bronfen not only offers fresh approaches to understanding hysteria in our culture, but also introduces a new metaphor to serve as a theoretical tool. Whereas the phallus has long dominated psychoanalytical discourse, the image of the navel--a knotted originary wound common to both genders--facilitates discussion of topics relevant to hysteria, such as trauma, mortality, and infinity. Bronfen's insights make for a lively, innovative work sure to interest readers across the fields of art and literature, feminism, and psychology. Originally published in 1998. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.




The Knotted Tree


Book Description

A great little Coffee Table art book (7.5"x 7.5" - 32 pages) of art, poetry and philosophy on religious and spiritual viewpoints by Australian artist C J Lewis.




On Types of Knotted Curves


Book Description




Knotted Doughnuts and Other Mathematical Entertainments


Book Description

Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1986 edition and contains columns published from 1972-1974.




Mama Made Minis Knotted Loveys


Book Description

Make Adorable Toys Your Minis Will Cherish Crochet charming knotted loveys with this easy guide to amigurumi from Alyson Dratch and Lindsay McNutt, the designers and mothers behind Mama Made Minis. From snuggly farmyard friends like Lettie Lamb and CeeCee Chick to magical creatures like Una Unicorn and Dusty Dragon, these 16 patterns are sure to bring comfort and joy to your minis every day. Thanks to the heirloom quality of these designs, you can create each stitch with love, knowing that your child’s new plushie will be by their side for years to come! Complete with a step-by-step assembly guide and Aly and Lindsay’s best maker tips and tricks for assured success, these adorable loveys will come together quickly and effortlessly. Follow along with the Mamas’ expert instruction to flawlessly recreate their work, or put your own spin on the patterns by switching up the color and yarn weight. Whichever exciting direction you choose, these sweet knotted loveys will make the ultimate gift for the minis in your life!




Knotted and Beaded Macrame Jewelry


Book Description

Natural fibers, knots, and beads make beautiful jewelry! Step-by-step instructions teach you how to make the basic macramé knots and how to add beads. You’ll learn the types of cords and threads available, and how to combine the knots to create unique styles of bracelets, earrings, necklaces, and more—30 projects total—each with complete illustrated instructions. Elegant and pretty, these jewelry pieces can be worn every day. Make bolder statement pieces, or delicate bracelets to stack. Add your own favorite beads or inclusions to personalize for yourself or as gifts. Once you learn the basic macramé techniques, the possibilities are endless!