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THIS IS BOTH PROMO COPY AND BACK COVER COPY!!!!! This book provides an introduction to functional analysis and treats in detail its application to boundary-value problems and finite elements. The book is intended for use by senior undergraduate and graduate students in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis would also find the text useful. The text is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. Readers of this book can expect to obtain a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.

Functional analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functional analysis. --- Mathematical analysis. --- Analysis (Mathematics). --- Computational intelligence. --- Mathematical physics. --- Analysis. --- Computational Intelligence. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- 517.1 Mathematical analysis --- Mathematical analysis --- Mathematics

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The theory of elastoplastic media is now a mature branch of solid and structural mechanics, having experienced significant development during the latter half of this century. This monograph focuses on theoretical aspects of the small-strain theory of hardening elastoplasticity. It is intended to provide a reasonably comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages to be gained by placing the theory in a convex analytic context. The book is divided into three parts. The first part provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behavior is emphasized. The second part is taken up with mathematical analysis of the elastoplasticity problem. The third part is devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. The work is intended for a wide audience: this would include specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.

Plasticity. --- Numerical analysis. --- Plasticité --- Analyse numérique --- Plasticity --- Numerical analysis --- Engineering & Applied Sciences --- Applied Mathematics --- Engineering. --- Mechanics. --- Mechanics, Applied. --- Theoretical and Applied Mechanics. --- Mechanics, applied. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mathematical analysis --- Cohesion --- Deformations (Mechanics) --- Elasticity --- Plastics --- Rheology