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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory - Couverture souple
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A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
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- ÉditeurSpringer
- Date d'édition2010
- ISBN 10 1441931872
- ISBN 13 9781441931870
- ReliurePaperback
- Nombre de pages608
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory by Bender, Carl M., Orszag, Steven A. [Paperback ]
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ISBN 13 : 9781441931870
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
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Advanced Mathematical Methods for Scientists and Engineers 1 : Asymptotic Methods and Perturbation Theory
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
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Advanced Mathematical Methods for Scientists and Engineers I
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Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions. This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutions. The objective of this book is to teaching the insights and problem-solving skills that are most useful in solving mathematical problems arising in the course of modern research.Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables.The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions. 608 pp. Englisch. N° de réf. du vendeur 9781441931870
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Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory
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ISBN 13 : 9781441931870
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Advanced Mathematical Methods for Scientists and Engineers 1 : Asymptotic Methods and Perturbation Theory
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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
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Description du livre Paperback. Etat : New. Special order direct from the distributor Softcover reprint of hardcover 1st ed. 1999. N° de réf. du vendeur ING9781441931870
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Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory
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ISBN 13 : 9781441931870
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Description du livre Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions. This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutions. The objective of this book is to teaching the insights and problem-solving skills that are most useful in solving mathematical problems arising in the course of modern research.Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables.The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions. N° de réf. du vendeur 9781441931870
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