Geometric Analysis of Hyperbolic Differential Equations: An Introduction: 374

Geometric Analysis of Hyperbolic Differential Equations: An Introduction: 374 book cover

Geometric Analysis of Hyperbolic Differential Equations: An Introduction: 374

Author(s): S. Alinhac (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 20 May 2010
  • Edition: 1st
  • Language: English
  • Print length: 130 pages
  • ISBN-10: 0521128226
  • ISBN-13: 9780521128223

Book Description

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.

Editorial Reviews

Review

‘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

Book Description

A self-contained presentation of the tools of Lorentzian geometry necessary to access recent works in mathematical relativity.

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