Twists and Turns and Tangles in Math and Physics PDF Download

Author: Samuel Katzoff
Publisher: Johns Hopkins University, Institute for the Academic Advancement of Youth
ISBN: 9781881622024
Category :
Languages : en
Pages : 659

View

Book Description

Author: Samuel Katzoff
Publisher: Johns Hopkins University, Institute for the Academic Advancement of Youth
ISBN: 9781881622154
Category : Astronomy
Languages : en
Pages : 428

View

Book Description

Author: Alekseĭ Bronislavovich Sosinskiĭ
Publisher: Harvard University Press
ISBN: 9780674009448
Category : Mathematics
Languages : en
Pages : 158

View

Book Description
This book, written by a mathematician known for his own work on knot theory, is a clear, concise, and engaging introduction to this complicated subject, and a guide to the basic ideas and applications of knot theory. 63 illustrations.

Author: Joyce VanTassel-Baska
Publisher: PRUFROCK PRESS INC.
ISBN: 159363014X
Category : Curriculum planning
Languages : en
Pages : 82

View

Book Description
Presents practical strategies for developing appropriate curriculum for accelerated gifted children, explaining how acceleration can be employed in all classroom levels and subject areas.

Author: Louis H Kauffman
Publisher: World Scientific
ISBN: 9814502375
Category : Mathematics
Languages : en
Pages : 739

View

Book Description
In this second edition, the following recent papers have been added: “Gauss Codes, Quantum Groups and Ribbon Hopf Algebras”, “Spin Networks, Topology and Discrete Physics”, “Link Polynomials and a Graphical Calculus” and “Knots Tangles and Electrical Networks”. An appendix with a discussion on invariants of embedded graphs and Vassiliev invariants has also been included.This book is an introduction to knot and link invariants as generalized amplitudes (vacuum-vacuum 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 has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related to and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics and knots in dynamical systems.

Author: Samuel Katzoff
Publisher:
ISBN: 9781881622000
Category : Astronomy
Languages : en
Pages : 231

View

Book Description

Author: Louis H Kauffman
Publisher: World Scientific
ISBN: 9814460303
Category : Mathematics
Languages : en
Pages : 865

View

Book Description
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.

Author:
Publisher: Johns Hopkins University, Institute for the Academic Advancement of Youth
ISBN:
Category : Education
Languages : en
Pages : 194

View

Book Description

Author: Louis H. Kauffman
Publisher: World Scientific
ISBN: 9810241119
Category : Science
Languages : en
Pages : 788

View

Book Description
This invaluable book is an introduction to knot and link invariants as generalised 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 a 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 third edition, a paper by the author entitled "Functional Integration and Vassiliev invariants" has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text.

Author: Louis H. Kauffman
Publisher: World Scientific
ISBN: 9789810220044
Category : Science
Languages : en
Pages : 502

View

Book Description
This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory.