Ordinary and Partial Differential Equations

ISBN-13: 9780367380373 / Angielski / Miękka / 2019 / 644 str.

Victor Henner; Tatyana Belozerova; Mikhail Khenner

Opis

This text provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as intuitive, easy-to-use software. The book 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. Requiring no user programming, the accompanying computer software allows readers to fully investigate problems.

Spis treści

First-Order Differential Equations. Second-Order Differential Equations. Systems of Differential Equations. Boundary Value Problems for Second-Order ODE and Sturm-Liouville Theory. Qualitative Methods and Stability of ODE Solutions. Method of Laplace Transforms for ODE. Integral Equations. Series Solutions of ODEs and Bessel and Legendre Equations. Fourier Series. Introduction to PDE. One-Dimensional Hyperbolic Equations. Two-Dimensional Hyperbolic Equations. One-Dimensional Parabolic Equations. Two-Dimensional Parabolic Equations. Elliptic Equations. Appendices. Bibliography.

O autorze

Henner, Victor; Belozerova, Tatyana; Khenner, Mikhail