An introduction to ordinary differential equations / James C. Robinson.

Format:

Book

Author/Creator:

Robinson, James C. (James Cooper), 1969- author.

Language:

English

Subjects (All):

Differential equations.

Physical Description:

1 online resource (xiv, 399 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2004.

Language Note:

English

Summary:

This refreshing, introductory textbook covers both standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigorous; it can be used either for 1-term or 1-semester courses. Topics such as Euler's method, difference equations, the dynamics of the logistic map, and the Lorenz equations, demonstrate the vitality of the subject, and provide pointers to further study. The author also encourages a graphical approach to the equations and their solutions, and to that end the book is profusely illustrated. The files to produce the figures using MATLAB are all provided in an accompanying website. Numerous worked examples provide motivation for and illustration of key ideas and show how to make the transition from theory to practice. Exercises are also provided to test and extend understanding: solutions for these are available for teachers.

Contents:

First order differential equations

Second order linear equations with constant coefficients

Linear second order equations with variable coefficients

Numerical methods and difference equations

Coupled linear equations

Coupled nonlinear equations.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-14689-5

1-139-63704-5

0-511-16598-6

0-511-16483-1

0-511-80120-3

0-511-56639-5

0-511-16403-3

0-521-53391-0

OCLC:

171138240