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Introduction to Linear Algebra and Differential Equations

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Product Description

Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index. PrefaceComplex NumbersIntroductionThe Algebra of Complex NumbersThe Geometry of Complex NumbersTwo-dimensional VectorsFunctions of a Complex VariableExponential FunctionPower SeriesLinear Algebraic EquationsIntroductionMatricesElimination MethodDeterminantsInverse of a MatrixExistence and Uniqueness TheoremsVector SpacesInt…