Introduction to Perturbation Methods (Texts in Applied Mathematics)

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9781489996138: Introduction to Perturbation Methods (Texts in Applied Mathematics)

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten 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 such traditional topics as boundary layers and multiple scales. However, 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.

One hundred new pages added including new material on  transcedentally small terms, Kummer's function, weakly coupled oscillators and wave interactions.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

From the Back Cover :

This 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.

 Review of first edition:

"Those familiar with earlier expositions of singular perturbations for ordinary and partial differential equations will find many traditional gems freshly presented, as well as many new topics. Much of the excitement lies in the examples and the more than 250 exercises, which are guaranteed to provoke and challenge readers and learners with various backgrounds and levels of expertise."

(SIAM Review, 1996 )

 

About the Author :

Mark Holmes has written a number of successful textbooks and is Professor at Rensselaar Polytechnic Institute.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Mark H. Holmes
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ISBN 10 : 1489996133 ISBN 13 : 9781489996138
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Description du livre Springer-Verlag New York Inc., United States, 2015. Paperback. État : New. 2nd ed. 2013. Language: English . Brand New Book. This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten 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 such traditional topics as boundary layers and multiple scales. However, 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.One hundred new pages added including new material on transcedentally small terms, Kummer s function, weakly coupled oscillators and wave interactions. N° de réf. du libraire AAZ9781489996138

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Mark H. Holmes
Edité par Springer-Verlag New York Inc., United States (2015)
ISBN 10 : 1489996133 ISBN 13 : 9781489996138
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Description du livre Springer-Verlag New York Inc., United States, 2015. Paperback. État : New. 2nd ed. 2013. Language: English . Brand New Book. This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten 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 such traditional topics as boundary layers and multiple scales. However, 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.One hundred new pages added including new material on transcedentally small terms, Kummer s function, weakly coupled oscillators and wave interactions. N° de réf. du libraire AAZ9781489996138

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Description du livre Springer, 2015. État : New. In its expanded new edition, this book covers boundary layers, multiple scales, homogenisation, slender body theory, symbolic computing, discrete equations and more. Includes exercises derived from current research, drawn from a range of application areas. Series: Texts in Applied Mathematics. Num Pages: 456 pages, biography. BIC Classification: PBK; PBKJ. Category: (G) General (US: Trade). Dimension: 235 x 155 x 23. Weight in Grams: 694. . 2015. 2nd ed. 2013. Paperback. . . . . . N° de réf. du libraire V9781489996138

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Description du livre Springer-Verlag New York Inc., United States, 2015. Paperback. État : New. 2nd ed. 2013. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten 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 such traditional topics as boundary layers and multiple scales. However, 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.One hundred new pages added including new material on transcedentally small terms, Kummer s function, weakly coupled oscillators and wave interactions. N° de réf. du libraire LIE9781489996138

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Description du livre Springer. État : New. In its expanded new edition, this book covers boundary layers, multiple scales, homogenisation, slender body theory, symbolic computing, discrete equations and more. Includes exercises derived from current research, drawn from a range of application areas. Series: Texts in Applied Mathematics. Num Pages: 456 pages, biography. BIC Classification: PBK; PBKJ. Category: (G) General (US: Trade). Dimension: 235 x 155 x 23. Weight in Grams: 694. . 2015. 2nd ed. 2013. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du libraire V9781489996138

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