Its self-contained presentation and 'do-it-yourself' approach makes this the perfect guide for graduate students wishing to access recent literature in the field of mathematical relativity. It introduces all of the key tools and concepts from Lorentzian geometry and provides complete elementary proofs. No previous knowledge of geometry is required.
FORMAT Paperback LANGUAGE English CONDITION Brand Newrelativity is required.
S. Alinhac is Professor in the Department of Mathematics at the University of Paris-Sud 11, Orsay.
Preface; 1. Introduction; 2. Metrics and frames; 3. Computing with frames; 4. Energy inequalities and frames; 5. The good components; 6. Pointwise estimates and commutations; 7. Frames and curvature; 8. Nonlinear equations, a priori estimates and induction; 9. Applications to some quasilinear hyperbolic problems; References; Index.
'This book provides an excellent introduction to nonlinear wave equations, and it can be recommended to anyone who wants to access the recent mathematical literature on this subject.' Zentralblatt MATH
'This book provides an excellent introduction to nonlinear wave equations, and it can be recommended to anyone who wants to access the recent mathematical literature on this subject.' Zentralblatt MATH
A self-contained presentation of the tools of Lorentzian geometry necessary to access recent works in mathematical relativity.
Its self-contained presentation and 'do-it-yourself' approach makes this the perfect guide for graduate students wishing to access recent literature in the field of mathematical relativity. It introduces all of the key tools and concepts from Lorentzian geometry and provides complete elementary proofs. No previous knowledge of geometry is required.
Its self-contained presentation and 'do-it-yourself' approach makes this the perfect guide for graduate students wishing to access recent literature in the field of mathematical relativity. It introduces all of the key tools and concepts from Lorentzian geometry and provides complete elementary proofs. No previous knowledge of geometry is required.
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