Vector and Tensor Analysis"Remarkably comprehensive, concise and clear." — Industrial Laboratories "Considered as a condensed text in the classical manner, the book can well be recommended." — Nature Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis. More than 200 problems are included throughout the book. |
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a₁ angle angular velocity axis b₁ b₂ cartesian tensor center of mass Christoffel symbols constant vectors contravariant vector coordinate axes coordinate system covariant vector curve curvilinear coordinates cylinder defined differential equation equal example expressions external forces Əz's follows frame of reference geometry given point Green's theorem gyroscope h₁ Hence i₁ i₂ inertia integral of ƒ j-th particle k₁ k₂ Let us consider line integral line of action magnitude mixed tensor moment of inertia origin orthogonal parallel parametric lines permutation perpendicular physical components Problem Proof of Equation prove rectangular cartesian coordinates region relative tensors right side scalar field scalar triple products shown in Figure suffixes surface integral symbols system of particles tangent tensor character Theorem transformation unit vectors vector field vector product vectors j₁ write x₁₂ plane yields Σ Σ