By Alexander John Taylor
Read Online or Download Analysis of Quantised Vortex Tangle (Springer Theses) PDF
Best geometry & topology books
The purpose of this booklet is to offer the elemental strategies and homes of the geodesic circulate of a closed Riemannian manifold. the themes lined are with reference to my study pursuits. a huge target here's to explain houses of the geodesic movement which don't require curvature assumptions. a customary instance of the sort of estate and a crucial bring about this paintings is Mane's formulation that relates the topological entropy of the geodesic circulation with the exponential progress price of the typical numbers of geodesic arcs among issues within the manifold.
In response to a two-semester path geared toward illustrating a variety of interactions of 'pure arithmetic' with different sciences, resembling hydrodynamics, thermodynamics, statistical physics and data concept, this article unifies 3 common themes of research and physics, that are as follows: the dimensional research of actual amounts, which incorporates a variety of functions together with Kolmogorov's version for turbulence; features of very huge variety of variables and the main of focus in addition to the non-linear legislation of huge numbers, the geometric that means of the Gauss and Maxwell distributions, and the Kotelnikov-Shannon theorem; and, eventually, classical thermodynamics and phone geometry, which covers major ideas of thermodynamics within the language of differential types, touch distributions, the Frobenius theorem and the Carnot-Caratheodory metric.
This can be the 1st e-book on a newly rising box of discrete differential geometry supplying a great approach to entry this interesting quarter. It presents discrete equivalents of the geometric notions and techniques of differential geometry, comparable to notions of curvature and integrability for polyhedral surfaces.
Eine verständlich und konzis geschriebene Einführung in die Algebra, die durch ihre sorgfältige didaktische Aufbereitung besticht. Die 7. Auflage bietet neben zahlreichen Aufgaben (mit Lösungshinweisen) sowie einführenden Vorbemerkungen auch Ausblicke auf neuere Entwicklungen. Der Autor spricht selten behandelte Themen wie Resultanten und Witt-Vektoren an.
- New Topological Invariants for Real- and Angle-Valued Maps:An Alternative to Morse–Novikov Theory
- Variational Inequalities and Frictional Contact Problems (Advances in Mechanics and Mathematics)
- Lecture Notes on Mean Curvature Flow: 290 (Progress in Mathematics)
- A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics)
- Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)
- Foundations of Hyperbolic Manifolds: 149 (Graduate Texts in Mathematics)
Extra resources for Analysis of Quantised Vortex Tangle (Springer Theses)
Analysis of Quantised Vortex Tangle (Springer Theses) by Alexander John Taylor