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Cambridge Texts in Applied Mathematics Ser.: Singularities - Formation, Structure, and Propagation by M. A. Fontelos and J. Eggers (2015, Trade Paperback)

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J. Eggers is Professor of Applied Mathematics at the University of Bristol. Format Paperback.

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Product Information

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.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
1107485495
ISBN-13
9781107485495
eBay Product ID (ePID)
215992988

Product Key Features

Author
J. Eggers, M. A. Fontelos
Publication Name
Singularities-Formation, Structure, and Propagation
Format
Trade Paperback
Language
English
Publication Year
2015
Series
Cambridge Texts in Applied Mathematics Ser.
Type
Textbook
Number of Pages
470 Pages

Dimensions

Item Length
8.9in
Item Height
0.8in
Item Width
6in
Item Weight
26.1 Oz

Additional Product Features

Series Volume Number
Series Number 53
Lc Classification Number
Qa614.58.E325 2015
Reviews
"The book will serve as an excellent introduction to the field of singularities in continuum mechanics, and a valuable resource for researchers â€¦ In short, a wonderful achievement!" H. K. Moffatt, Journal of Fluid Mechanics, "The book will serve as an excellent introduction to the field of singularities in continuum mechanics, and a valuable resource for researchers ... In short, a wonderful achievement!" H. K. Moffatt, Journal of Fluid Mechanics
Table of Content
Preface; Part I. Setting the Scene: 1. What are singularities all about?; 2. Blow-up; 3. Similarity profile; 4. Continuum equations; 5. Local singular expansions; 6. Asymptotic expansions of PDEs; Part II. Formation of Singularities: 7. Drop break-up; 8. A numerical example: drop pinch-off; 9. Slow convergence; 10. Continuation; Part III. Persistent Singularities - Propagation: 11. Shock waves; 12. The dynamical system; 13. Vortices; 14. Cusps and caustics; 15. Contact lines and cracks; Appendix A. Vector calculus; Appendix B. Index notation and the summation convention; Appendix C. Dimensional analysis; References; Index.
Copyright Date
2015
Target Audience
Scholarly & Professional
Topic
General, Geometry / Algebraic
Lccn
2015-016866
Dewey Decimal
514.746
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics

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Picture 1 of 1

Cambridge Texts in Applied Mathematics Ser.: Singularities - Formation, Structure, and Propagation by M. A. Fontelos and J. Eggers (2015, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Textbooks

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