Partial Differential Equations in Classical Mathematical Physics
Partial Differential Equations in Classical Mathematical Physics
Partial Differential Equations in Classical Mathematical Physics Summary:
By Isaak Rubinstein, Lev Rubinstein
Publisher: Cambridge University Press
Number Of Pages: 696
Publication Date: 1998-04-28
ISBN-10 / ASIN: 0521558468
ISBN-13 / EAN: 9780521558464
Product Description:
This book considers the theory of partial differential equations as the language of continuous processes in mathematical physics. This is an interdisciplinary area in which the mathematical phenomena are reflections of their physical counterparts. The authors trace the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems--elliptic, parabolic, and hyperbolic--as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by students and researchers in applied mathematics and mathematical physics.
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