Partial Differential Equations in Classical Mathematical Physics by Isaak Rubinstein (PDF)

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.

User’s Reviews

Editorial Reviews: Review “…A rigorous, systematic treatment of mathematics applied in classical physics.” The American Mathematical Monthly”…a comprehensive account of the basic principles and applications of the classical theory of partial differential equations in mathematical physics…well-written for graduate students in physics, engineering, and applied mathematics sequences, and scientists and engineers whose projects require knowledge of equations of mathematical physics…extremely valuable appendixes review important mathematical concepts. Recommended.” Choice”I enjoy paging through books like this one….[The authors] have succeeded in their goal of treating this field from an interdisciplinary, but unified standpoint. It is a nice book.” SIAM Review Book Description The book’s combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs.

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