Integral Calculus: An Introduction, With Applications And Exercises (Mathematics For Future Engineers) (Volume 4)

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Overview

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 of the results. To increase accessibility and to encourage the reader to get a technical know-how about integral calculus, we provided for each newly introduced notion a series of applications and solved problems; each chapter ends by a section containing exercises and problems, each one of these being accompanied by hints and answers. The mathematical concepts presented here require only elementary notions, usually learnt in the high school. Actually, the first chapter begins with a recapitulation of these notions, accompanied by numerous examples. The references contain, along with books, some links, which can be helpful for the reader.