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Hyperbolic Conservation Laws in Continuum Physics (Hardcover, 4th ed. 2016)
Loot Price: R6,344
Discovery Miles 63 440
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Hyperbolic Conservation Laws in Continuum Physics (Hardcover, 4th ed. 2016)
Series: Grundlehren der mathematischen Wissenschaften, 325
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Total price: R6,364
Discovery Miles: 63 640
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This is a masterly exposition and an encyclopedic presentation of
the theory of hyperbolic conservation laws. It illustrates the
essential role of continuum thermodynamics in providing motivation
and direction for the development of the mathematical theory while
also serving as the principal source of applications. The reader is
expected to have a certain mathematical sophistication and to be
familiar with (at least) the rudiments of analysis and the
qualitative theory of partial differential equations, whereas prior
exposure to continuum physics is not required. The target group of
readers would consist of (a) experts in the mathematical theory of
hyperbolic systems of conservation laws who wish to learn about the
connection with classical physics; (b) specialists in continuum
mechanics who may need analytical tools; (c) experts in numerical
analysis who wish to learn the underlying mathematical theory; and
(d) analysts and graduate students who seek introduction to the
theory of hyperbolic systems of conservation laws. This new edition
places increased emphasis on hyperbolic systems of balance laws
with dissipative source, modeling relaxation phenomena. It also
presents an account of recent developments on the Euler equations
of compressible gas dynamics. Furthermore, the presentation of a
number of topics in the previous edition has been revised, expanded
and brought up to date, and has been enriched with new applications
to elasticity and differential geometry. The bibliography, also
expanded and updated, now comprises close to two thousand titles.
From the reviews of the 3rd edition: "This is the third edition of
the famous book by C.M. Dafermos. His masterly written book is,
surely, the most complete exposition in the subject." Evgeniy
Panov, Zentralblatt MATH "A monumental book encompassing all
aspects of the mathematical theory of hyperbolic conservation laws,
widely recognized as the "Bible" on the subject." Philippe G.
LeFloch, Math. Reviews
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