Singularities: Formation, Structure, and Propagation (Cambridge Texts in Applied Mathematics)

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9781107485495: Singularities: Formation, Structure, and Propagation (Cambridge Texts in Applied Mathematics)

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.

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

Book Description :

Many natural phenomena are described as singularities, for example, the formation of drops and bubbles, or the motion of cracks. Aimed at a broad audience of students and researchers in mathematics, physics and engineering, this book provides mathematical tools for understanding all aspects of singularities.

About the Author :

J. Eggers is Professor of Applied Mathematics at the University of Bristol. His career has been devoted to the understanding of self-similar phenomena, and he has more than fifteen years of experience in teaching non-linear and scaling phenomena to undergraduate and postgraduate students. Eggers has made fundamental contributions to our mathematical understanding of free-surface flows, in particular the break-up and coalescence of drops. His work was instrumental in establishing the study of singularities as a research field in applied mathematics and in fluid mechanics. He is a member of the Academy of Arts and Sciences in Erfurt, Germany, a fellow of the American Physical Society, and has recently been made a Euromech Fellow.

M. A. Fontelos is a researcher in applied mathematics at the Spanish Research Council (CSIC). His scientific work has focused on partial differential equations and their applications to fluid mechanics, with special emphasis on the study of singularities and free-surface flows. His main results concern the formation of singularities (or not) combining the use of rigorous mathematical results with asymptotic and numerical methods.

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Eggers J., Eggers J.
ISBN 10 : 1107485495 ISBN 13 : 9781107485495
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J. Eggers, M. A. Fontelos
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2015. Paperback. État : New. Language: English . Brand New Book. 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. N° de réf. du libraire AAA9781107485495

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J. Eggers, M. A. Fontelos
Edité par CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2015)
ISBN 10 : 1107485495 ISBN 13 : 9781107485495
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2015. Paperback. État : New. Language: English . Brand New Book. 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. N° de réf. du libraire AAA9781107485495

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J. Eggers, M. A. Fontelos
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Description du livre Cambridge University Press. Paperback. État : new. BRAND NEW, Singularities: Formation, Structure and Propagation, J. Eggers, M. A. Fontelos, 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. N° de réf. du libraire B9781107485495

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Description du livre Cambridge University Press, 2015. État : New. Explores a wide range of singular phenomena. Provides mathematical tools for understanding them and highlights their common features. Series: Cambridge Texts in Applied Mathematics. Num Pages: 470 pages, 125 b/w illus. 8 colour illus. 180 exercises. BIC Classification: PBP; PBWH; PHU. Category: (P) Professional & Vocational. Dimension: 155 x 227 x 23. Weight in Grams: 738. . 2015. Paperback. . . . . . N° de réf. du libraire V9781107485495

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Description du livre Cambridge University Press. État : New. Explores a wide range of singular phenomena. Provides mathematical tools for understanding them and highlights their common features. Series: Cambridge Texts in Applied Mathematics. Num Pages: 470 pages, 125 b/w illus. 8 colour illus. 180 exercises. BIC Classification: PBP; PBWH; PHU. Category: (P) Professional & Vocational. Dimension: 155 x 227 x 23. Weight in Grams: 738. . 2015. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du libraire V9781107485495

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