Asymptotic methods in mechanics of solids: 167 (International Series of Numerical Mathematics) - Tapa dura

Smirnov, Andrei L.; Filippov, Sergei B.; Bauer, Svetlana M.

 
9783319183107: Asymptotic methods in mechanics of solids: 167 (International Series of Numerical Mathematics)
Tapa dura
ISBN 10: 3319183109 ISBN 13: 9783319183107
Editorial: Birkhäuser, 2015

Sinopsis

The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.

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De la contraportada

The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2015
Idioma
Inglés
ISBN 10 
3319183109
ISBN 13 
9783319183107
Encuadernación
Tapa dura
Número de páginas
348
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783319386829: Asymptotic methods in mechanics of solids: 167 (International Series of Numerical Mathematics)

Edición Destacada

ISBN 10:  3319386824 ISBN 13:  9783319386829
Editorial: Birkhäuser, 2016
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