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Historical Developments in Singular Perturbations

This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: O'Malley, Robert E. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Historical Developments in Singular Perturbations  |h [electronic resource] /  |c by Robert E. O'Malley. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a X, 256 p. 17 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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505 0 |a Preface -- Ludwig Prandtl's Boundary Layer Theory -- Asymptotic Approximations -- The Method of Matches Asymptotic Expansions and Its Generalizations -- Wendepunkts and Canards (Turning Points and Delayed Bifurcations) -- Two-timing, Geometric, and Multi-scale Methods -- A Simple Multi-scale Procedure for Both Oscillatory and Boundary Layer Problems -- References -- Index. 
520 |a This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians. The book focuses on detailing how the various methods are to be applied. These are illustrated by a  number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus. Dr. O'Malley  has written a number of books on singular perturbations.  This book has developed from many of his works in the field of perturbation theory. 
650 0 |a Differential equations. 
650 0 |a Mathematics. 
650 0 |a History. 
650 1 4 |a Differential Equations. 
650 2 4 |a History of Mathematical Sciences. 
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773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319119250 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
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