1.

Record Nr.

UNINA9910154946903321

Autore

Edwards C. Henry (Charles Henry), <1937->

Titolo

Differential equations and boundary value problems : computing and modeling / / C. Henry Edwards, David E. Penney ; with the assistance of David Calvis

Pubbl/distr/stampa

Boston : , : Pearson, , [2016]

©2016

ISBN

1-292-10878-9

Edizione

[Fifth, global edition.]

Descrizione fisica

1 online resource (792 pages) : illustrations

Collana

Always learning

Disciplina

515.35

Soggetti

Differential equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Always Learning"

Includes index.

Previous edition: 2007.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Chapter 1. First-order differential equations -- Chapter 2. Mathematical models and numerical methods -- Chapter 3. Linear equations of higher order --Chapter 4.  Introduction to systems of differential equations -- Chapter 5. Linear systems of differential equations --Chapter 6. Nonlinear systems and phenomena -- Chapter 7. Laplace transform methods -- Chapter 8. Power series methods -- Chapter 9. Fourier series methods and partial differential equations -- Chapter 10. Eigenvalue methods and boundary value problems.

Sommario/riassunto

For introductory courses in Differential Equations.  This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB. Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been



trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text.