{"product_id":"geometric-analysis-of-hyperbolic-differential-equations-an-introduction-paperback-9780521128223","title":"Geometric Analysis of Hyperbolic Differential Equations: An Introduction (Paperback) 9780521128223","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eGeometric Analysis of Hyperbolic Differential Equations: An Introduction\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA self-contained presentation of the tools of Lorentzian geometry necessary to access recent works in mathematical relativity.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eS. Alinhac (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521128223, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 20 May 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e130 pages\u003cbr\u003e22.9 x 15.2 x 0.7 cm, 0.19 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIts 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Metrics and frames\u003cbr\u003e 3. Computing with frames\u003cbr\u003e 4. Energy inequalities and frames\u003cbr\u003e 5. The good components\u003cbr\u003e 6. Pointwise estimates and commutations\u003cbr\u003e 7. Frames and curvature\u003cbr\u003e 8. Nonlinear equations, a priori estimates and induction\u003cbr\u003e 9. Applications to some quasilinear hyperbolic problems\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Relativity physics [\u003ca title=\"See our other books on Relativity physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Relativity%20physics%20%5BPHR%5D%22\"\u003ePHR\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002824151320,"sku":"9780521128223","price":47.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521128223i_d41bb561-0ac9-44f3-ba78-52ef7150b38a.jpg?v=1691371908","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/geometric-analysis-of-hyperbolic-differential-equations-an-introduction-paperback-9780521128223","provider":"Freshly Printed Books","version":"1.0","type":"link"}