Geometric Analysis Of Hyperbolic Differential Equations An Introduction
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Geometric Analysis of Hyperbolic Differential Equations: An Introduction
Author: S. Alinhac
language: en
Publisher: Cambridge University Press
Release Date: 2010-05-20
Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.
Geometric Analysis of Hyperbolic Differential Equations
A self-contained presentation of the tools of Lorentzian geometry necessary to access recent works in mathematical relativity.
O-Minimality and Diophantine Geometry
Author: G. O. Jones
language: en
Publisher: Cambridge University Press
Release Date: 2015-08-13
This book brings the researcher up to date with recent applications of mathematical logic to number theory.