The Theory of Quantum Torus Knots
Author | : |
Publisher | : |
Total Pages | : 698 |
Release | : 2020-05-06 |
Genre | : |
ISBN | : 9780578684680 |
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Author | : |
Publisher | : |
Total Pages | : 698 |
Release | : 2020-05-06 |
Genre | : |
ISBN | : 9780578684680 |
Author | : Michael Ungs |
Publisher | : Lulu.com |
Total Pages | : 635 |
Release | : 2009-11-06 |
Genre | : Technology & Engineering |
ISBN | : 0557115507 |
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).
Author | : |
Publisher | : |
Total Pages | : 740 |
Release | : 2020-05-06 |
Genre | : |
ISBN | : 9780578684697 |
Author | : Michael Ungs |
Publisher | : |
Total Pages | : 0 |
Release | : 2020-05-06 |
Genre | : |
ISBN | : 9780578684673 |
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.
Author | : Michael Ungs |
Publisher | : Lulu.com |
Total Pages | : 616 |
Release | : 2010-08-16 |
Genre | : Technology & Engineering |
ISBN | : 0557605016 |
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.
Author | : Michael Ungs |
Publisher | : Lulu.com |
Total Pages | : 726 |
Release | : 2010-06-23 |
Genre | : Technology & Engineering |
ISBN | : 0557459885 |
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).
Author | : Michael James Ungs |
Publisher | : |
Total Pages | : 0 |
Release | : 2020-05-06 |
Genre | : |
ISBN | : 9780578684666 |
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.
Author | : Dale Rolfsen |
Publisher | : American Mathematical Soc. |
Total Pages | : 458 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821834363 |
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.""
Author | : Akio Kawauchi |
Publisher | : Birkhäuser |
Total Pages | : 431 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034892276 |
Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.
Author | : William Menasco |
Publisher | : Elsevier |
Total Pages | : 502 |
Release | : 2005-08-02 |
Genre | : Mathematics |
ISBN | : 9780080459547 |
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