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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...

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...