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Partial Differential Equations by Osamu Sano is a nonfiction available to read on EtoBox.

What is Partial Differential Equations about?

Contents Preface 1. First-order Partial Differential Equations 1.1 Linear PDEs 1.2 First-order PDEs and Characteristic Strips 1.2.1 Integral surfaces 1.2.2 Characteristic curves and characteristic strips 1.2.3 Solution of the first-order quasi-linear PDEs 1.3 Initial-value Problems of the First-order PDEs 1.4 Complete Integrals 1.4.1 Complete solutions, general solutions, and singular solutions 1.4.2 First-order PDEs with easily obtainable complete solutions 1.4.3 Integrable condition 1.4.4 Lagrange–Charpit method 1.5 Hamilton–Jacobi Theory 1.5.1 Extremum problems and the Euler–Lagrange equation 1.5.2 Lagrange's equation and canonical equation 1.5.3 Canonical transform 1.5.4 Hamilton–Jacobi equation 1.6 Integral of the Hamilton–Jacobi equation 2. Second-order Partial Differential Equations 2.1 Examples of Second-order PDEs 2.1.1 Wave equation 2.1.2 Diffusion equation 2.1.3 Laplace–Poisson equation 2.2 Classification of Second-order PDEs 2.2.1 Classification (hyperbolic, elliptic, parabolic) 2.2.2 Integral surfaces and initial-value problems 2.3 Separation of Variables and Eigenvalue Problems 2.3.1 Orthogonal curvilinear coordinates and separation of variables 2.3.2 Eigenvalues and

Who reads Partial Differential Equations?

Author

Osamu Sano

Publisher

World Scientific Publishing

Published

2023

Language

EN

ISBN

9789811257056

Category

nonfiction

Subjects

Mathematics, Differential Equations, Stem