vbid/9783030640613

Description

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2).�This�first volume of the textbook contains the parts �Kinematics� and �Dynamics�.�The part �Kinematics� presents in detail the theory of curvilinear coordinates which is actively used in the part �Dynamics�, in particular, in the theory of constrained motion and variational principles in mechanics.�For describing the�motion of a system of particles,�the notion of a Hertz�representative point is used, and the notion of a tangent space is applied to investigate the�motion of arbitrary mechanical systems.�In the final chapters�Hamilton-Jacobi theory is applied?�for the integration of equations of motion,�and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.Typham this is the title: Rational and Applied Mechanics Volume 1. Complete General Course for Students of Engineering