| The Theory of Quantum Torus Knots: Its Foundation in Differential Geometry-Volume I Contributor(s): Ungs, Michael James (Author), Ungs, Laura Paige, Gizé, Agostinho |
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ISBN: 0578684667 ISBN-13: 9780578684666 Publisher: Michael J. Ungs OUR PRICE: $120.36 Product Type: Hardcover Published: May 2020 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Non-euclidean |
| Physical Information: 2" H x 8.5" W x 11" (5.26 lbs) 676 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 Schr dinger, Schr dinger-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. |