This book provides the general reader with an introduction to mathematical elasticity, by means of general concepts in classic mechanics, and models for elastic springs, strings, rods, beams and membranes. Functional analysis is also used to explore more general boundary value problems for three-dimensional elastic bodies, where the reader is provided, for each problem considered, a description of the deformation; the equilibrium in terms of stresses; the constitutive equation; the equilibrium equation in terms of displacements; formulation of boundary value problems; and variational...

The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. This book offers a self-contained treatment of tensors, tensor fields, and their applications.

For those who want to understand the main ideas in the theory of optimal problems, this book provides a good introduction to classical topics (under the heading of "the calculus of variations") and more modern topics (under the heading of "optimal control").

"Advanced Engineering Analysis" is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines to mechanics. The book offers a brief and concise, yet complete explanation of essential theory and applications. It contains exercises with hints and solutions, ideal for self-study.

This is a book for those who enjoy thinking about how and why Nature can be described using mathematical tools. Approximating Perfection considers the background behind mechanics as well as the mathematical ideas that play key roles in mechanical applications.

Concentrating on the models of applied mechanics, the book engages the reader in the types of nuts-and-bolts considerations that are normally avoided in formal engineering courses: how and why models remain imperfect, and the factors that motivated their development. The opening chapter reviews and reconsiders the...

This book reviews essential facts from algebra and calculus, presents the central inequalities of applied analysis and then illustrates a wide variety of practical applications. The expanded 2nd edition offers new examples, exercise, hints and solutions.