DiBenedetto E. Classical Mechanics.Theory and Mathematical Modeling

Birkhaüser, 2011. - 372 p., OCR.This book collects my lectures in rational mechanics delivered at the School of Engineering of the University of Rome, Tor Vergata, from 1986 to 1998. The main vision was mathematical modeling, and the layout is theoretical. The required background includes a working knowledge of linear algebra (vector calculus, algebra of matrices), multivariate calculus, basic theory of ordinary differential equations, and elementary physics. While the Lebesgue integral is used, a working knowledge of it is not required. Its use is mainly intended as a unifying feature, bridging from discrete systems whose material properties are described by a series to weighted Dirac masses, to continuum systems. In practice, in problems and examples only the Riemann integral is used.