Schaum's Outline of Tensor CalculusMcGraw Hill Professional, 1988 - 228 Seiten Confusing Textbooks? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved. |
Inhalt
THE EINSTEIN SUMMATION CONVENTION | 1 |
BASIC LINEAR ALGEBRA FOR TENSORS | 8 |
GENERAL TENSORS | 23 |
Urheberrecht | |
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a₁ acceleration arbitrary arc length ax ax ax¹ ax² b₁ Calculate cartesian tensor Christoffel symbols components const constant contravariant vector coordinate system covariant tensor covariant vector curvature curve curvilinear coordinates d²x² defined differentiation dt dt dx¹ dx¹)² dx² dx²)² dx³ E₁ E₂ equation Euclidean metric EXAMPLE formula function g₁ geodesic Hence inertial frame inner product invariant linear Lorentz matrix Lorentz transformations metric tensor mixed tensor nonzero notation null orthogonal particle positive definite principal normal Prove r₁ rectangular coordinates Riemann tensor Riemannian metric scalar Show sin²x² summation surface symmetry system x T₁ tangent vector tensor of order Theorem Tijk V₁ v₂ vector field vector space velocity x¹ cos x² x¹ sin x² x¹)² x²)² zero δι ди дх