The present book has its source in the authors wish to create a bridge between mathematics and the technical disciplines that need a good knowledge of a strong mathematical tool. The authors tried to reflect a common experience of the University of Bucharest, Faculty of Mathematics and of the Technical University of Civil Engineering of Bucharest. The necessity of such an interdisciplinary work drove the authors to publish a first book with this aim ( Ecua ?ii diferen ?iale cu aplica ?ii in mecanica construc ?iilor Ordinary differential equations with applications to the mechanics of...

The Linear Equivalence Method - briefly, LEM - is author's original method. Unlike what is commonly understood by linearization, LEM establishes a one-to-one correspondence between the solutions of nonlinear and linear ordinary differential equations and systems, by means of an exponential mapping - author's idea. This justifies the denomination of LEM - the Linear Equivalence Method. LEM provides the users with an efficient and powerful tool that enables the free application of the methods of the linear, much easier handled and better founded that those of the nonlinear. This is why the...

This book is addressed to all those who, after finishing the high school, wish a practical initiation in the domain of ordinary differential equations and systems. To provide useful tools for (future) engineers, some elementary problems of mechanics are modeled by using ordinary differential equations. The presentation of notions and results is simplified and made graphically attractive, without loosing the mathematical rigor of the results. To increase accessibility and to encourage the reader to get a technical know-how about ordinary differential equations, each newly introduced notion is...

This book is addressed to all those who, after finishing the high school, wish a practical initiation in the domain of integral calculus. This is the fourth volume of the series "Mathematics for future engineering." To provide useful tools for (future) engineers and for specialists, in general, we emphasized applications of line, double, surface and triple integrals to mechanics and physics (e.g., centers of mass, moments of inertia, static moments, etc.) We tried to make the involved mathematics as attractive as possible, by simplifying the presentation without loosing the mathematical rigor...