By Andrei Ludu
This quantity is an creation to nonlinear waves and soliton idea within the precise atmosphere of compact areas this type of closed curves and surfaces and different area contours. It assumes familiarity with uncomplicated soliton concept and nonlinear dynamical systems.
The first a part of the ebook introduces the mathematical idea required for treating the manifolds thought of, offering proper notions from topology and differential geometry. An advent to the speculation of movement of curves and surfaces - as a part of the rising box of contour dynamics - is given.
The moment and 3rd elements speak about the modeling of assorted actual solitons on compact structures, corresponding to filaments, loops and drops made up of virtually incompressible fabrics thereby intersecting with a good number of actual disciplines from hydrodynamics to compact item astrophysics.
This booklet is meant for graduate scholars and researchers in arithmetic, physics and engineering.
This new version has been completely revised, improved and updated.
Read Online or Download Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics) PDF
Best Differential Geometry books
The 2 elements of this sharply targeted booklet, Hypergeometric and designated services and Harmonic research on Semisimple Symmetric areas, are derived from lecture notes for the eu institution of crew concept, a discussion board supplying high-level classes on contemporary advancements in workforce idea. The authors supply scholars and researchers with an intensive and considerate assessment, elaborating at the subject with transparent statements of definitions and theorems and augmenting those withtime-saving examples.
Bundles, connections, metrics and curvature are the 'lingua franca' of recent differential geometry and theoretical physics. This booklet will offer a graduate pupil in arithmetic or theoretical physics with the basics of those items. a number of the instruments utilized in differential topology are brought and the elemental effects approximately differentiable manifolds, delicate maps, differential kinds, vector fields, Lie teams, and Grassmanians are all offered right here.
This booklet specializes in the undemanding yet crucial difficulties in Riemann-Finsler Geometry, which come with a repertoire of pressure and comparability theorems, and an array of particular examples, illustrating many phenomena which admit basically Finslerian interpretations. "This e-book deals the main glossy remedy of the subject …" EMS publication.
Topology of Surfaces, Knots, and Manifolds deals an intuition-based and example-driven method of the fundamental principles and difficulties concerning manifolds, fairly one- and two-dimensional manifolds. a mix of examples and routines leads the reader to expect common definitions and theorems touching on curves, surfaces, knots, and links--the items of curiosity within the beautiful set of mathematical principles referred to as "rubber sheet geometry.
Additional info for Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics)