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KNOTS AND SPLICES --- HANDBOOKS, MANUALS, ETC.

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KNOTS AND SPLICES --- HANDBOOKS, MANUALS, ETC.

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With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens the field to students with little or no knowledge in this area. It also serves as a guide to more advanced material. The book begins with a basic and informal introduction to knot theory, giving many examples of knot invariants before the class of Vassiliev invariants is introduced. This is followed by a detailed study of the algebras of Jacobi diagrams and 3-graphs, and the construction of functions on these algebras via Lie algebras. The authors then describe two constructions of a universal invariant with values in the algebra of Jacobi diagrams: via iterated integrals and via the Drinfeld associator, and extend the theory to framed knots. Various other topics are then discussed, such as Gauss diagram formulae, before the book ends with Vassiliev's original construction.

Invariants. --- Knot theory. --- Knots (Topology) --- Low-dimensional topology

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This essay in cultural anthropology provides a comprehensive view of the way primitive people in all parts of the world once utilized knots; mnemonic knots—to record dates, numbers, and cultural traditions; magic knots—to cure diseases, bewitch enemies, and control the forces of nature; and practical knots—to tie things and hold things together.In his discussion of mnemonic knots, the author analyzes the Peruvian quipus (or knotcalendars and knotrecords) and suggests that the Inca astronomerpriests, known to have been accurate observers of the movements of the planets, may also have been able to predict the dates of lunar eclipses; and he shows how it is possible to manipulate the Ina abacus in accordance with the decimal system.His treatment of magic knots includes instances from Babylonian times to the present, with curious examples of the supernatural power attributed to the Hercules knot (i.e., the square knot) in Egypt, Greece, and Rome. His analysis of a littleknown treatise on surgeons’ slings and nooses, written by the Green physician Heraklas, is the first detailed account of the specific practical knots used by the ancient Greeks and Romans.Quipus and Witches’ Knots, which is abundantly illustrated, often surprises the reader with the unexpected ways in which the once universal dependence of men on knots has left its mark on the language, customs, and thought of modern peoples.

Knots and splices. --- Quipu. --- Khipu --- Kipu --- Abacus --- Mathematical instruments --- Knotting and splicing --- Splicing --- Joints (Engineering) --- Marlinspike seamanship --- Ropework --- Ancient history

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Ce manuel pratique, entièrement en couleurs et illustré de très nombreux dessins et photographies explicatives, aborde de façon simple toutes les composantes de l'initiation et de la progression en escalade, que ce soit sur sites naturels ou sur structures artificielles. À travers différentes éditions actualisées vendues à près de 25 000 exemplaires, cet ouvrage est devenu une véritable référence depuis plus de 10 ans. Cette dernière édition parue en 2004 est encore enrichie de nombreuses informations (techniques de sécurité, matériel?) et propose un chapitre inédit sur la structure artificielle (SAE). Entouré par une équipe de spécialistes et s'appuyant sur une vaste expérience, tant de la pratique de l'escalade que de son enseignement, Jean-Pierre Verdier s?adresse aussi bien au débutant, au grimpeur confirmé qu'au formateur.

Climbing knots --- Indoor rock climbing --- Free climbing --- Noeuds (Alpinisme) --- Escalade sur paroi artificielle --- Escalade libre --- Escalade de rocher --- Escalade de rocher.