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Autor: A. I. Lurie
ISBN-13: 9783540429821
Einband: Book
Seiten: 894
Gewicht: 1425 g
Format: 240x165x53 mm
Sprache: Englisch

Analytical Mechanics

Foundations of Engineering Mechanics
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Translation of a famous book that belongs to the cultural heritage of Russian mechanicsReference for classical and analytical approaches to all branches of mechanics
Gives deeper insight into theory and applications of Analytical Mechanics
1 Basic definitions.- 2 Rigid body kinematics - basic knowledge.- 3 Theory of finite rotations of rigid bodies.- 4 Basic dynamic quantities.- 5 Work and potential energy.- 6 The fundamental equation of dynamics. Analytical statics.- 7 Lagrange's differential equations.- 8 Other forms of differential equations of motion.- 9 Dynamics of relative motion.- 10 Canonical equations and Jacobi's theorem.- 11 Perturbation theory.- 12 Variational principles in mechanics.- A Elements of the theory of matrices.- A.1 Definitions.- A.2 Operations on matrices.- A.3 Inverse of the matrix.- A.4 Matrix representation of the operations of vector calculus.- A.5 Differentiation of a matrix.- B Basics of tensor calculus.- B.1 General non-orthogonal coordinates.- B.2 Vectors using the non-orthogonal coordinates.- B.3 Tensors of second rank in the non-orthogonal coordinates.- B.4 Curvilinear coordinates.- B.5 Covariant differentiation.- B.6 Examples of non-orthogonal curvilinear coordinates.- B.7 Formulae of the theory of surfaces.- B.8 Curvature of lines on the surface.- B.9 Covariant derivative of a vector on the surface.- B.10 Orthogonal curvilinear coordinates.- B.11 Finite-dimensional Euclidean space.- B.14 The Riemann-Christoffel tensor.- References.
This is a translation of A.I. Lurie's classical Russian textbook on analytical mechanics. 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 20th 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.

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Autor: A. I. Lurie
ISBN-13 :: 9783540429821
ISBN: 3540429824
Erscheinungsjahr: 26.03.2002
Verlag: Springer-Verlag GmbH
Gewicht: 1425g
Seiten: 894
Sprache: Englisch
Auflage 02000, 2002
Sonstiges: Buch, 240x165x53 mm, 96 schwarz-weiße Abbildungen, Bibliographie