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Singularities: Formation, Structure, and Propagation (Paperback)
Loot Price: R1,513
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Singularities: Formation, Structure, and Propagation (Paperback)
Series: Cambridge Texts in Applied Mathematics
Expected to ship within 12 - 17 working days
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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.
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