Singularities

Singularities: formation, structure, and propagation

by Eggers, J., (Jens G.)

Type Book
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Descripción del editor: "Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I int…

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Title Statements

  • Full title :Singularities : formation, structure, and propagation / J. Eggers, M.A. Fontelos.

Summary

Descripción del editor: "Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.Discusses a wide range of singular phenomena from a unifying point of viewMakes current techniques for studying singularities available to a wider audienceContains 70 examples to reinforce the reader's understanding of important concepts and 180 exercises ranging in difficulty" (Cambridge).

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Edition Statements

  • Publication Date:2015.

Publication Statements

The Physical Object

  • Description:xvi, 453 pages : : il. ; : 24 cm.

Edition Identifiers

  • ISBN:9781107098411, 1107098416, 9781107485495, 1107485495
  • oclc:on1026143728

Subjects

Singularidades (Matemáticas) Singularities (Mathematics)

Writers

Eggers, J., (Jens G.) Fontelos, M. A., (Marco Antonio)

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