Tensor Calculus and Analytical DynamicsCRC Press, 1998. 12. 18. - 448페이지 Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form. |
목차
Table of Contents | xxiii |
Tensor Calculus | xxxvii |
Introduction and Background | li |
Introduction and Background brief history algebraic preliminaries | 20 |
Chapter 2 | 31 |
Tensor Algebra | 32 |
Chapter 3 | 93 |
Chapter 4 | 169 |
RAISON DETRE AND SOME EDUCATIONAL | 178 |
Chapter 5 | 181 |
Chapter 6 | 233 |
to be too formalistic and as such of little use to engineers and other willing | 285 |
A notable exception being the masterly but brief and not too readable by nonmathematicians account | 312 |
| 371 | |
| 381 | |
Introduction to Analytical Dynamics | 170 |
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자주 나오는 단어 및 구문
A₁ absolute vector affine An+1 antisymmetric AR.KL ARKL axes basis baß calculus Christoffels coefficients components configuration space constant contravariant contravariant vector covariant covariant derivatives curl curvature curve curvilinear coordinates d₁q defined derivatives differential dt/ds dv/dt e₁ EK.L en+1 equations of motion Euclidean Euclidean space Ex(T Example fundamental geometrical Hamel holonomic independent inertial integrability invariant invoking Equation kinematical kinetic kinetostatic Lagrangean linear manifold mechanics metric metric tensor nonholonomic variables normal notation parallel transport particle Problem Quotient Rule R₁ recalling Equations relative Ricci's lemma Riemannian scalar scleronomic Section similarly space surface tangent tensor theorem torsionless transformation transitivity equations V₁ vector vector space velocity virtual displacement Vn+1 YRKL Γκ ω²