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Ordinary and partial differential equations

Ordinary Differential Equations, Boundary Value Problems, Fourier Series, and the Introduction to Integral EquationsFirst-Order Differential Equations Second-Order Differential EquationsSystems of Differential EquationsBoundary Value Problems for Second-Order ODE and Sturm-Liouville TheoryQualitative Methods and Stability of ODE SolutionsMethod of Laplace Transforms for ODE Integral EquationsSeries Solutions of ODEs and Bessel and Legendre Equations Fourier SeriesPartial Differential EquationsIntroduction to PDEOne-Dimensional Hyperbolic EquationsTwo-Dimensional Hyperbolic EquationsOne-Dimensi.

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  • ""Covers ODEs and PDEs--in One TextbookUntil now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn't exist. Fulfilling this need, Ordinary and Partial Differential Equations provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as intuitive, easy-to-use software.Teaches the Key Topics in Differential Equations The text includes all the topics that form the core of a modern undergraduate or beginning graduate course in differential equations. It also discusses other optional but important topics such as integral equations, Fourier series, and special functions. Numerous carefully chosen examples offer practical guidance on the concepts and techniques.Guides Students through the Problem-Solving ProcessRequiring no user programming, the accompanying computer software allows students to fully investigate problems, thus enabling a deeper study into the role of boundary and initial conditions, the dependence of the solution on the parameters, the accuracy of the solution, the speed of a series convergence, and related questions. The ODE module compares students' analytical solutions to the results of computations while the PDE module demonstrates the sequence of all necessary analytical solution steps."--"
  • "Ordinary Differential Equations, Boundary Value Problems, Fourier Series, and the Introduction to Integral EquationsFirst-Order Differential Equations Second-Order Differential EquationsSystems of Differential EquationsBoundary Value Problems for Second-Order ODE and Sturm-Liouville TheoryQualitative Methods and Stability of ODE SolutionsMethod of Laplace Transforms for ODE Integral EquationsSeries Solutions of ODEs and Bessel and Legendre Equations Fourier SeriesPartial Differential EquationsIntroduction to PDEOne-Dimensional Hyperbolic EquationsTwo-Dimensional Hyperbolic EquationsOne-Dimensi."@en

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  • "Electronic books"@en
  • "Electronic books"
  • "Textbooks"
  • "Lehrbuch"

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  • "Ordinary and partial differential equations"
  • "Ordinary and partial differential equations"@en
  • "Ordinary and Partial Differential Equations"@en
  • "Ordinary and Partial Differential Equations"

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