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| Author | : Bill Martin |
| Publisher | : Macmillan |
| Total Pages | : 36 |
| Release | : 1997-09-15 |
| Genre | : Juvenile Fiction |
| ISBN | : 0805054790 |
A grandfather and his blind grandson reminisce about the young boy's birth, his first horse and an exiciting horse race.
| Author | : Julie Lee Wei |
| Publisher | : |
| Total Pages | : 80 |
| Release | : 2005 |
| Genre | : Chinese language |
| ISBN | : |
| Author | : Colin Conrad Adams |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 330 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0821836781 |
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
| Author | : Peter S. Ozsváth |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 423 |
| Release | : 2015-12-04 |
| Genre | : Education |
| ISBN | : 1470417375 |
Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves. Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.
| Author | : Bill Martin |
| Publisher | : Macmillan |
| Total Pages | : 42 |
| Release | : 1987-10-15 |
| Genre | : Juvenile Fiction |
| ISBN | : 9780805005714 |
A collection of children's books on the subject of grandparents.
| Author | : D. J. A. Welsh |
| Publisher | : Cambridge University Press |
| Total Pages | : 176 |
| Release | : 1993-08-12 |
| Genre | : Computers |
| ISBN | : 9780521457408 |
These notes are based on a series of lectures given at the Advanced Research Institute of Discrete Applied Mathematics, Rutgers University.
| Author | : Jorge Alberto Calvo |
| Publisher | : World Scientific |
| Total Pages | : 642 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 9812703462 |
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.
| Author | : Kunio Murasugi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 348 |
| Release | : 2009-12-29 |
| Genre | : Mathematics |
| ISBN | : 0817647198 |
This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.
| Author | : Randy Penn |
| Publisher | : Simon and Schuster |
| Total Pages | : 227 |
| Release | : 2004-03-05 |
| Genre | : Sports & Recreation |
| ISBN | : 1440522774 |
Simple instructions on how to tie over 100 useful and decorative knots A well-tied knot is at once a practical tool and a work of art. With names like "hangman's noose" and "wagoneer's hitch," knots have a rich history of usefulness and an aesthetic appeal all their own. From the boat to the backyard, The Everything Knots Book provides simple instructions on how to tie knots for any situation. Written by Randy Penn, a member of the International Guild of Knot Tyers, this handy guide walks readers through the basics and offers myriad suggestions for creative uses of these knots. Mr. Penn shows readers how to: Choose the right rope and knot for the job Tie knots safely and securely Create decorative knots for clothing and accessories Practice knot-tying through games and exercises Packed with easy-to-follow instructions and clear illustrations, The Everything Knots Book makes learning this useful skill fun and easy.
| Author | : Marcia Ascher |
| Publisher | : Courier Corporation |
| Total Pages | : 180 |
| Release | : 2013-01-02 |
| Genre | : Science |
| ISBN | : 0486152707 |
Unique, thought-provoking study discusses quipu, an accounting system employing knotted, colored cords, used by Incas. Cultural context, mathematics involved, and even how to make a quipu. Over 125 illustrations.
