Автор: Lickorish Название: An Introduction to Knot Theory ISBN: 038798254X ISBN-13(EAN): 9780387982540 Издательство: Springer Цена: 5605 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides an introduction to mathematical Knot Theory; the theory of knots and links of simple closed curves in three-dimensional space. Written by an internationally known expert in the field, this volume is of interest to graduate students, mathematicians and physicists with a mathematical background who wish to gain insights in this area.
Описание: The physical properties of knotted and linked configurations in space have been of interest to physicists and mathematicians for a long time. More recently and
more widely, they have become interesting to biological and computer scientists, and to engineers among others. The depth of importance and breadth of application are now widely
appreciated.
In t
is volume, there are several contributions from researchers who are using computers to study problems that would otherwise be untractable. 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. From
properties of knot invariants, to knot tabulation, studies of hyperbolic structures, knot energies, and to the exploration of spaces of knots, computers have opened the doors to problems
that would have otherwise been too difficult to do by hand computation.
There are also contributions concentrating on models that researchers use to understand knotting,
linking, and entanglement in physical and biological systems. Topics range from knotted umbilical cords, to studies of DNA knots and knots in proteins.
Автор: Slavik Jablan,Radmila Sazdanovic Название: LINKNOT: Knot Theory by Computer ISBN: 9812772235 ISBN-13(EAN): 9789812772237 Издательство: World Scientific Publishing Рейтинг: Цена: 14571 р. Наличие на складе: Поставка под заказ.
Описание: "LinKnot - Knot Theory by Computer" provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with
backgrounds in other exact sciences, including chemistry, molecular biology and physics. The book covers basic notions in knot theory, as well as new methods for handling open
problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral links, and (2,2)-moves. Hands-on
computations using Mathematica or the webMathematica package LinKnot and beautiful illustrations facilitate better learning and understanding."LinKnot" is also a powerful research
tool for experimental mathematics implementation of Caudron's ideas.
The use of Conway notation enables experimenting with large families of knots and links. Conjectures
discussed in the book are explained at length. The beauty, universality and diversity of knot theory is illuminated through various non-standard applications: mirror curves, fullere
s, self-referential systems, and KL automata.
Автор: Murasugi Название: Knot Theory and Its Applications ISBN: 081764718X ISBN-13(EAN): 9780817647186 Издательство: Springer Рейтинг: Цена: 3268 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as in computer science, biological and medical research, and mathematical physics. This book is directed to a broad audience of research workers and beginning graduate students in these fields. It contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials, as well as more recent developments and special topics such as chord diagrams and covering spaces. It is an introduction to the fascinating study of knots and provides insight into recent applications to such studies as DNA research and graph theory. The author clearly outlines what is known and what is not known about knots. He has been careful to avoid advanced mathematical terminology or intricate techniques in algebraic topology or group theory. There are numerous diagrams and exercises relating the material. Developments over the past ten years are described, in particular the study of Jones polynomials and the Vassiliev invariants.Each chapter includes a supplement that consists of interesting historical as well as mathematical comments. The book will be readable by senior undergraduate students as well as beginning graduate students in mathematics, computer science and modern biological, medical and physical research.
Автор: Kauffman Louis H Название: Introductory Lectures on Knot Theory ISBN: 9814307998 ISBN-13(EAN): 9789814307994 Издательство: World Scientific Publishing Рейтинг: Цена: 16879 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Consists of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. This book contains lectures on the many aspects of applications of knot theory. It gives an in-depth survey of the advances of knot theory and its applications.
Автор: Ito Название: Knot Projections ISBN: 1498736750 ISBN-13(EAN): 9781498736756 Издательство: Taylor&Francis Рейтинг: Цена: 5746 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold's theory of plane curves, Viro's quantization of the Arnold invariant, and Vassiliev's theory of knots, among others. The presentation exploits the intuitiveness of knot projections to introduce the material to an audience without a prior background in topology, making the book suitable as a useful alternative to standard textbooks on the subject. However, the main aim is to serve as an introduction to an active research subject, and includes many open questions.
Автор: Li Weiping Название: Lecture Notes On Knot Invariants ISBN: 9814675954 ISBN-13(EAN): 9789814675956 Издательство: World Scientific Publishing Рейтинг: Цена: 7529 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Volume Is Focused On The Basic Calculation Skills Of Various Knot Invariants Defined From Topology And Geometry. It Presents The Detailed Hecke Algebra And Braid Representation To Illustrate The Original Jones Polynomial (Rather Than The Algebraic Formal Definition Many Other Books And Research Articles Use) And Provides Self-Contained Proofs Of The Tait Conjecture (One Of The Big Achievements From The Jones Invariant). It Also Presents Explicit Computations To The Casson–Lin Invariant Via Braid Representations.With The Approach Of An Explicit Computational Point Of View On Knot Invariants, This User-Friendly Volume Will Benefit Readers To Easily Understand Low-Dimensional Topology From Examples And Computations, Rather Than Only Knowing Terminologies And Theorems.
Автор: Dye Название: An Invitation to Knot Theory ISBN: 1498701647 ISBN-13(EAN): 9781498701648 Издательство: Taylor&Francis Рейтинг: Цена: 4910 р. Наличие на складе: Поставка под заказ.
Описание:
The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory
An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra.
The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized "f"-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.
Автор: Li Weiping Название: Lecture Notes on Knot Invariants ISBN: 9814675962 ISBN-13(EAN): 9789814675963 Издательство: World Scientific Publishing Рейтинг: Цена: 3886 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Volume Is Focused On The Basic Calculation Skills Of Various Knot Invariants Defined From Topology And Geometry. It Presents The Detailed Hecke Algebra And Braid Representation To Illustrate The Original Jones Polynomial (Rather Than The Algebraic Formal Definition Many Other Books And Research Articles Use) And Provides Self-Contained Proofs Of The Tait Conjecture (One Of The Big Achievements From The Jones Invariant). It Also Presents Explicit Computations To The Casson–Lin Invariant Via Braid Representations.With The Approach Of An Explicit Computational Point Of View On Knot Invariants, This User-Friendly Volume Will Benefit Readers To Easily Understand Low-Dimensional Topology From Examples And Computations, Rather Than Only Knowing Terminologies And Theorems.
Автор: William Menasco Название: Handbook of Knot Theory, ISBN: 044451452X ISBN-13(EAN): 9780444514523 Издательство: Elsevier Science Рейтинг: Цена: 13932 р. Наличие на складе: Поставка под заказ.
Описание: 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. This book is a survey of topics in the mathematical theory of knots.
Автор: Kauffman Louis H Название: Knots And Physics (Fourth Edition) ISBN: 9814383007 ISBN-13(EAN): 9789814383004 Издательство: World Scientific Publishing Рейтинг: Цена: 19671 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this new edition, an article on Virtual Knot Theory and Khovanov Homology has beed added.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
