000			01909 a2200241 4500
003			OSt
020			_a9781461454779
040			_cIIT Kanpur
041			_aeng
082			_a515.392 _bH734i2
100			_aHolmes, Mark H.
245			_aIntroduction to perturbation methods [2nd ed.] [Perpetual access] _cMark H. Holmes
250			_a2nd ed.
260			_bSpringer Science+Business Media _c2013 _aNew York
300			_axviii, 438p
440			_aTexts in applied mathematics
490			_a/ edited by Stuart Antman; no.20
520			_aThis introductory graduate text is based on a graduate course the author has taught repeatedly over the last twenty or so years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover more advanced topics such as systems and partial differential equations. Moreover, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas. For this new edition every section has been updated throughout, many only in minor ways, while others have been completely rewritten. New material has also been added. This includes approximations for weakly coupled oscillators, analysis of problems that involve transcendentally small terms, an expanded discussion of Kummer functions, and metastability. Two appendices have been added, one on solving difference equations and another on delay equations. Additional exercises have been included throughout.
650			_aPerturbation (Mathematics)
650			_aMathematics
856			_uhttps://link.springer.com/book/10.1007%2F978-1-4614-5477-9
942			_cEBK
999			_c565132 _d565132