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This highly useful text for students and professionals working in the applied sciences shows how to formulate and solve partial differential equations. Realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type…

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A clear, concise book that emphasizes finding solutions to differential equations where applications play an important role. Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential…

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In this spirituality of time, Dorothy Bass invites readers into a way of living in time that is alert to both contemporary pressures and rooted ancient wisdom. The celebrated editor of Practicing Our Faith asks hard questions about how our injurious attitude…

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This classic offers a meticulous account of the theory of finite elasticity. It covers the application of the theory to the solution of boundary-value problems, as well as the analysis of the mechanical properties of solid materials capable of large elastic…

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Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential…

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The contributors and their methods are diverse. Their papers deal with subjects such as anamorphic art, the geometry of Durer, musical works of Mozart and Beethoven, the history of negative numbers, the development of mathematical notation, and efforts to bring…

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This book presents the main concepts and applications of nonlinear dynamics at an elementary level. The book is based on a one-semester undergraduate course that has been given since 1975 at McGill University and has been constantly updated to keep up with…

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Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The new edition includes…

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Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and…

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This volume contains the lectures given at the Third School on Statistical Physics and Cooperative Systems, Santiago, Chile, in December 1992. All lectures are related to recent interdisciplinary trends in statistical physics: nonlinear phenomena, dynamical…

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In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This collection of survey papers by leading researchers…

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The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid…