Ordinary and partial differential equations / Victor Henner, Tatyana Belozerova, Mikhail Khenner.

Format:

Book

Author/Creator:

Henner, Victor.

Contributor:

Belozerova, Tatyana.

Khenner, Mikhail

Class of 1891 Department of Arts Fund.

Language:

English

Subjects (All):

Differential equations--Textbooks.

Differential equations.

Differential equations, Partial--Textbooks.

Differential equations, Partial.

Genre:

Textbooks.

Physical Description:

xiv, 629 pages : illustrations ; 26 cm + 1 CD-ROM (4 3/4 in.)

4 3/4 in.

Place of Publication:

Boca Raton : CRC Press, [2013]

System Details:

text file

Summary:

"Until 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. 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. Requiring no user programming, the accompanying computer software allows readers 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."-- P. 4 of cover.

Contents:

Ch. 1. First-order differential equations

Ch. 2. Second-order differential equations

Ch. 3. Systems of differential equations

Ch. 4. Boundary value problems for second-order ODE and Sturm-Liouville theory

Ch. 5. Qualitative methods and stability of ODE solutions

Ch. 6. Method of Laplace transforms for ODE

Ch. 7. Integral equations

Ch. 8. Series solutions of ODE and Bessel and Legendre equations

Ch. 9. Fourier series

Ch. 10. One-dimensional hyperbolic equations

Ch. 11. Two-dimensional hyperbolic equations

Ch. 12. One-dimensional parabolic equations

Ch. 13. Two-dimensional parabolic equations

Ch. 14. Elliptic equations

Appendix 1. Eigenvalues and Eigenfunctions of one-dimensional Sturm-Liouville boundary value problem for different types of boundary conditions

Appendix 2. Auxiliary functions, w(x,t), for different types of boundary conditions

Appendix 3. Eigenfunctions of Sturm-Liouville boundary value problem for the Laplace equation in a rectangular domain for different types of boundary conditions

Appendix 4. A primer on the matrix Eigenvalue problems and the solution of the selected examples in section 5.25

Appendix 5. How to use the software associated with the book.

Notes:

"An A K Peters book."

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Class of 1891 Department of Arts Fund.

ISBN:

1466515007

9781466515000

OCLC:

769420423

Publisher Number:

99953533331