Ordinary and partial differential equations

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Title:

Author:

Henner, Victor.

ISBN:

9781466515000

Personal Author:

Henner, Victor.

Publication Information:

Boca Raton : CRC Press, 2013.

Physical Description:

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

General Note:

"An A K Peters book."

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.

Abstract:

"Covers ODEs and PDEs--in One TextbookUntil 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.Teaches the Key Topics in Differential Equations 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.Guides Students through the Problem-Solving ProcessRequiring no user programming, the accompanying computer software allows students 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."--

Subject Term:

MATHEMATICS / Advanced.

MATHEMATICS / Applied.

MATHEMATICS / Differential Equations.

Differential equations -- Textbooks.

Differential equations, Partial -- Textbooks.

Added Author:

Belozerova, Tatyana.

Khenner, Mikhail.

Electronic Access:

Cover image http://jacketsearch.tandf.co.uk/common/jackets/covers/websmall/978146651/9781466515000.jpg

Copies:

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Library	Material Type	Item Barcode	Shelf Number	Copy	Status
Searching... 1:IIEMSA	1:GEN-BOOK	33168025594074	515.352 H515.O 2013	1	Searching... Unknown

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Summary

Covers ODEs and PDEs--in One Textbook
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.

Teaches the Key Topics in Differential Equations
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.

Guides Students through the Problem-Solving Process
Requiring no user programming, the accompanying computer software allows students 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.