Introduction to differential equations -- First-order differential equations -- Higher-order differential equations -- The laplace transform -- Series solutions of linear differential equations -- Numerical solutions of ordinary differential equations -- Vectors -- Matrices -- Vector calculus -- Systems of linear differential equations -- Systems of nonlinear differential equations -- Orthogonal functions and fourier series -- Boundary-value problems in rectangular coordinates -- Boundary-value problems in other coordinate systems -- Integral transform method -- Numerical solutions of partial differentials equations -- Functions of a complex variable -- Integration in the complex plane -- Series and residues -- Conformal mappings
Notes
Includes index
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