Analytical Mechanics
By: by A. I. Lurie
Series: Foundations of Engineering Mechanics; Foundations of engineering mechanics
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 882
ISBN-13: 9783642536502; 9783540456773
Subjects: Mechanics; Engineering; Applied Mechanics
Description: This is a translation of A.I. Lurie classical Russian textbook on analytical mechanics. Part of it is based on courses formerly held by the author. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the XX century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems. This book will help researchers and graduate students to acquire a deeper insight into analytical mechanics.
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Table of contents: title: Basic definitions; title: Rigid body kinematics - basic knowledge; title: Theory of finite rotations of rigid bodies; title: Basic dynamic quantities; title: Work and potential energy; title: The fundamental equation of dynamics. Analytical statics; title: Lagrange's differential equations; title: Other forms of differential equations of motion; title: Dynamics of relative motion; title: Canonical equations and Jacobi's theorem; title: Perturbation theory; title: Variational principles in mechanics; title: Elements of the theory of matrices; title: Basics of tensor calculus.