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Here's the perfect self-teaching guide to help anyone master differential equations, a common stumbling block for students looking to progress to advanced topics in both science and math Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more. Perfect for a student going on to advanced analytical work in mathematics, engineering, and other fields of mathematical science. Salient Features Chock full of worked examples and hundreds of stimulating exercises Includes discussion of ordinary differential equations AND partial differential equations, with emphasis on Laplace transform and Fourier series Reviews several different techniques and methods for solving differential equations, taking students from basic concepts to more advanced, higher-dimensional concepts seamlessly Perfect for a student going on to advanced analytical work in mathematics, engineering, and other fields of mathematical science