Calculus: Multi-variable calculus and linear algebra, with applications to differential equations and probabilityBlaisdell Publishing Company, 1969 - Algebras, Linear |
Contents
LINEAR SPACES | 3 |
LINEAR TRANSFORMATIONS AND MATRICES | 36 |
DETERMINANTS | 71 |
Copyright | |
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A₁ Assume axioms b₁ basis c₁ C₂ Calculate called coefficients components Compute constant continuous countable curve defined denote density determine differential equation distribution function double integral dx dy eigenvalues eigenvectors elements equal Euclidean space example Exercises exists finite formula function f Fy(t given gradient Green's theorem Hence Hermitian independent inequality inner product Let f line integral linear space linear transformation maps multiplication n x n nonsingular nonzero norm null space obtain one-dimensional open interval operator orthogonal orthonormal parametric partial derivatives plane polynomial of degree probability Proof properties prove quadratic random variable real numbers rectangle region sample space satisfies scalar field Section solution subsets subspace surface integral theorem u₁ vector field x₁ xy-plane y₁ zero ди дх ду