{"product_id":"perturbations-theory-and-methods-theory-and-methods-paperback-softback-9780898714432","title":"Perturbations – Theory and Methods; Theory and Methods (Paperback \/ softback) 9780898714432","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003ePerturbations – Theory and Methods\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eTheory and Methods\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis book gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJames A. Murdock (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898714432\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 31 August 1999\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e530 pages\u003cbr\u003e33.3 x 29.6 x 2.7 cm, 0.74 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003ePerturbations: Theory and Methods gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of 'uniformity' is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB method are covered, and the asymptotic validity (in the rigorous sense) of each method is carefully proved.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface to the classics edition\u003cbr\u003e Preface\u003cbr\u003e Part I. Introduction to Perturbation Theory. 1. Root finding\u003cbr\u003e 2. Regular perturbations\u003cbr\u003e 3. Direct error estimation\u003cbr\u003e Part II. Oscillatory Phenomena. 4. Periodic solutions and Lindstedt series\u003cbr\u003e 5. Multiple Scales\u003cbr\u003e 6. Averaging\u003cbr\u003e Part III. Transition Layers. 7. Initial layers\u003cbr\u003e 8. Boundary layers\u003cbr\u003e 9. Methods of the WKB type\u003cbr\u003e Appendix A. Taylor's theorem\u003cbr\u003e Appendix B. The implicit function theorem\u003cbr\u003e Appendix C. Second order differential equations\u003cbr\u003e Appendix D. Systems of differential equations\u003cbr\u003e Appendix E. Fourier series\u003cbr\u003e Appendix F. Lipschitz constants and vector norms\u003cbr\u003e Appendix G. Logical quantifiers and uniformity\u003cbr\u003e Symbol index\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52410746634520,"sku":"9780898714432","price":70.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898714432i.jpg?v=1784251366","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/perturbations-theory-and-methods-theory-and-methods-paperback-softback-9780898714432","provider":"Freshly Printed Books","version":"1.0","type":"link"}