Author: Michael Ungs
Publisher: Lulu.com
ISBN: 0557459885
Category : Technology & Engineering
Languages : en
Pages : 726
Book Description
A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, Navier-Stokes hydrodynamics, and Maxwell electromagnetism by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).
The Theory of Quantum Torus Knots: Volume II
Author: Michael Ungs
Publisher: Lulu.com
ISBN: 0557459885
Category : Technology & Engineering
Languages : en
Pages : 726
Book Description
A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, Navier-Stokes hydrodynamics, and Maxwell electromagnetism by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).
Publisher: Lulu.com
ISBN: 0557459885
Category : Technology & Engineering
Languages : en
Pages : 726
Book Description
A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, Navier-Stokes hydrodynamics, and Maxwell electromagnetism by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).
The Theory of Quantum Torus Knots
Author: Michael Ungs
Publisher:
ISBN: 9780578684673
Category :
Languages : en
Pages : 0
Book Description
The mathematical building block presented in the four-volume set is called the theory of quantum torus knots (QTK), a theory that is anchored in the principles of differential geometry and 2D Riemannian manifolds for 3D curved surfaces. The reader is given a mathematical setting from which they will be able to witness the derivations, solutions, and interrelationships between theories and equations taken from classical and modern physics. Included are the equations of Ginzburg-Landau, Gross-Pitaevskii, Kortewig-de Vries, Landau-Lifshitz, nonlinear Schrödinger, Schrödinger-Ginzburg-Landau, Maxwell, Navier-Stokes, and Sine-Gordon. They are applied to the fields of aerodynamics, electromagnetics, hydrodynamics, quantum mechanics, and superfluidity. These will be utilized to elucidate discussions and examples involving longitudinal and transverse waves, convected waves, solitons, special relativity, torus knots, and vortices.
Publisher:
ISBN: 9780578684673
Category :
Languages : en
Pages : 0
Book Description
The mathematical building block presented in the four-volume set is called the theory of quantum torus knots (QTK), a theory that is anchored in the principles of differential geometry and 2D Riemannian manifolds for 3D curved surfaces. The reader is given a mathematical setting from which they will be able to witness the derivations, solutions, and interrelationships between theories and equations taken from classical and modern physics. Included are the equations of Ginzburg-Landau, Gross-Pitaevskii, Kortewig-de Vries, Landau-Lifshitz, nonlinear Schrödinger, Schrödinger-Ginzburg-Landau, Maxwell, Navier-Stokes, and Sine-Gordon. They are applied to the fields of aerodynamics, electromagnetics, hydrodynamics, quantum mechanics, and superfluidity. These will be utilized to elucidate discussions and examples involving longitudinal and transverse waves, convected waves, solitons, special relativity, torus knots, and vortices.
The Theory of Quantum Torus Knots - Volume III
Author: Michael Ungs
Publisher: Lulu.com
ISBN: 0557605016
Category : Technology & Engineering
Languages : en
Pages : 616
Book Description
Appendicies A to I that are referenced by Volumes I and II in the theory of quantum torus knots (QTK). A detailed mathematical derivation of space curves is provided that links the diverse fields of superfluids, quantum mechanics, and hydrodynamics.
Publisher: Lulu.com
ISBN: 0557605016
Category : Technology & Engineering
Languages : en
Pages : 616
Book Description
Appendicies A to I that are referenced by Volumes I and II in the theory of quantum torus knots (QTK). A detailed mathematical derivation of space curves is provided that links the diverse fields of superfluids, quantum mechanics, and hydrodynamics.
The Theory of Quantum Torus Knots
Author: Michael Ungs
Publisher: Lulu.com
ISBN: 0557115507
Category : Technology & Engineering
Languages : en
Pages : 635
Book Description
A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, and hydrodynamics by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).
Publisher: Lulu.com
ISBN: 0557115507
Category : Technology & Engineering
Languages : en
Pages : 635
Book Description
A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, and hydrodynamics by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).
The Theory of Quantum Torus Knots
Author:
Publisher:
ISBN: 9780578684680
Category :
Languages : en
Pages : 698
Book Description
Publisher:
ISBN: 9780578684680
Category :
Languages : en
Pages : 698
Book Description
The Theory of Quantum Torus Knots
Author:
Publisher:
ISBN: 9780578684697
Category :
Languages : en
Pages : 740
Book Description
Publisher:
ISBN: 9780578684697
Category :
Languages : en
Pages : 740
Book Description
The Theory of Quantum Torus Knots
Author: Michael James Ungs
Publisher:
ISBN: 9780578684666
Category :
Languages : en
Pages : 0
Book Description
The mathematical building block presented in the four-volume set is called the theory of quantum torus knots (QTK), a theory that is anchored in the principles of differential geometry and 2D Riemannian manifolds for 3D curved surfaces. The reader is given a mathematical setting from which they will be able to witness the derivations, solutions, and interrelationships between theories and equations taken from classical and modern physics. Included are the equations of Ginzburg-Landau, Gross-Pitaevskii, Kortewig-de Vries, Landau-Lifshitz, nonlinear Schrödinger, Schrödinger-Ginzburg-Landau, Maxwell, Navier-Stokes, and Sine-Gordon. They are applied to the fields of aerodynamics, electromagnetics, hydrodynamics, quantum mechanics, and superfluidity. These will be utilized to elucidate discussions and examples involving longitudinal and transverse waves, convected waves, solitons, special relativity, torus knots, and vortices.
Publisher:
ISBN: 9780578684666
Category :
Languages : en
Pages : 0
Book Description
The mathematical building block presented in the four-volume set is called the theory of quantum torus knots (QTK), a theory that is anchored in the principles of differential geometry and 2D Riemannian manifolds for 3D curved surfaces. The reader is given a mathematical setting from which they will be able to witness the derivations, solutions, and interrelationships between theories and equations taken from classical and modern physics. Included are the equations of Ginzburg-Landau, Gross-Pitaevskii, Kortewig-de Vries, Landau-Lifshitz, nonlinear Schrödinger, Schrödinger-Ginzburg-Landau, Maxwell, Navier-Stokes, and Sine-Gordon. They are applied to the fields of aerodynamics, electromagnetics, hydrodynamics, quantum mechanics, and superfluidity. These will be utilized to elucidate discussions and examples involving longitudinal and transverse waves, convected waves, solitons, special relativity, torus knots, and vortices.
Knots And Physics (Second Edition)
Author: Louis H Kauffman
Publisher: World Scientific
ISBN: 9814502375
Category : Mathematics
Languages : en
Pages : 739
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.
Publisher: World Scientific
ISBN: 9814502375
Category : Mathematics
Languages : en
Pages : 739
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.
Knots and Links
Author: Dale Rolfsen
Publisher: American Mathematical Soc.
ISBN: 0821834363
Category : Mathematics
Languages : en
Pages : 458
Book Description
Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds. Besides providing a guide to understanding knot theory, the book offers 'practical' training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements.It is characterized by its hands-on approach and emphasis on a visual, geometric understanding. Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included. Now back in print by the AMS, the book is still a standard reference in knot theory. It is written in a remarkable style that makes it useful for both beginners and researchers. Particularly noteworthy is the table of knots and links at the end. This volume is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds. Other key books of interest on this topic available from the AMS are ""The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes"" and ""The Knot Book.""
Publisher: American Mathematical Soc.
ISBN: 0821834363
Category : Mathematics
Languages : en
Pages : 458
Book Description
Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds. Besides providing a guide to understanding knot theory, the book offers 'practical' training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements.It is characterized by its hands-on approach and emphasis on a visual, geometric understanding. Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included. Now back in print by the AMS, the book is still a standard reference in knot theory. It is written in a remarkable style that makes it useful for both beginners and researchers. Particularly noteworthy is the table of knots and links at the end. This volume is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds. Other key books of interest on this topic available from the AMS are ""The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes"" and ""The Knot Book.""
The Knot Book
Author: Colin Conrad Adams
Publisher: American Mathematical Soc.
ISBN: 0821836781
Category : Mathematics
Languages : en
Pages : 330
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821836781
Category : Mathematics
Languages : en
Pages : 330
Book Description
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.