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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.
This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the d-dimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology to statistical mechanics to theoretical chemistry to wet-lab molecular biology.
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics
All you need is three or more pieces of string, rope, cord, or some other pliable material and you're ready to begin! This book will teach you how to braid, weave, and knot them in hundreds of different ways, from simple three-stranded braiding through the attractive — though more complex — macramé knotting. Complete, easy-to-follow instructions begin with braiding and weaving with anywhere from three to nine strands. Flat braiding, solid braiding, braiding over multiple strands, weaving across stationary strands, and many other techniques are covered. Each yields a different texture and pattern, so that with the imaginative use of color the results can be quite attractive. The knotting section covers the many different kinds of knots (square, spiral square, triple, half hitch, etc.) and how to use them in various decorative or functional ways. Fifty-seven drawings are especially helpful in adding clarity to the directions. Along with these instructions there are directions for making numerous articles with your braids and knots: belts, lanyards, mats, rugs, sandals, hats, bags — only your imagination will limit the number of things you can make. Anyone inclined to take up braiding and knotting will find this book immensely helpful, not only in getting started, but in going through the advanced stages of crafts.
This volume contains the proceedings of the ICTS program Knot Theory and Its Applications (KTH-2013), held from December 10–20, 2013, at IISER Mohali, India. The meeting focused on the broad area of knot theory and its interaction with other disciplines of theoretical science. The program was divided into two parts. The first part was a week-long advanced school which consisted of minicourses. The second part was a discussion meeting that was meant to connect the school to the modern research areas. This volume consists of lecture notes on the topics of the advanced school, as well as surveys and research papers on current topics that connect the lecture notes with cutting-edge research in the broad area of knot theory.
This account of the archaeology of a cave in southern New Mexico makes a dramatic contribution to the ongoing debate over how long human beings have lived in the Americas. The findings presented here show that human settlement may go back as far as 75,000 years before the present, whereas the long-accepted Clovis dates showed humans only about 12,000 years ago. MacNeish and his colleagues subjected the cave, its environs, and its contents to rigorous interdisciplinary investigation. The first section of this volume comprises their reports on the changing environment of the area. The second section concentrates on the excavation of the cave's layers, presenting the results of radiocarbon dating and describing the evidence of human occupation, including friction skin prints and human hair. The third section discusses the cultural implications of the materials recovered and suggests how the ancient peoples may have exploited the changing environment and developed different ways of life throughout the Americas before the time of Clovis man. No serious discussion of early inhabitants in the New World can disregard the findings presented in this monumental work of scholarship.
This newly revised and updated edition of Paul U. UnschuldÕs original 1986 groundbreaking translation reflects the latest philological, methodological, and sinological standards of the past thirty years. The Nan Jing was compiled in China during the first century C.E., marking both an apex and a conclusion to the initial development stages of Chinese medicine. Based on the doctrines of the Five Phases and yinyang, the Nan Jing covers all aspects of theoretical and practical health care in an unusually systematic fashion. Most important is its innovative discussion of pulse diagnosis and needle treatment. This new edition also includes selected commentaries by twenty Chinese and Japanese authors from the past seventeen centuries. The commentaries provide insights into the processes of reception and transmission of ancient Chinese concepts from the Han era to the present time. Together with the Huang Di Nei Jing Su Wen and the Huang Di Nei Jing Ling Shu, this new translation of the Nan Jing constitutes a trilogy of writings offering scholars and practitioners today unprecedented insights into the beginnings of a two-millennium tradition of what was a revolutionary understanding of human physiology and pathology.
Needlework serves functional purposes, such as providing warmth, but has also communicated individual and social identity, spiritual beliefs, and aesthetic ideals throughout time and geography. Needlework traditions are often associated with rituals and celebrations of life events. Often-overlooked by historians, practicing needlework and creating needlework objects provides insights to the history of everyday life. Needlework techniques traveled with merchants and explorers, creating a legacy of cross-cultural exchange. Some techniques are virtually universal and others are limited to a small geographical area. Settlers brought traditions which were sometimes re-invented as indigenous arts. This volume of approximately 75 entries is a comprehensive resource on techniques and cultural traditions for students, information professionals, and collectors.