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Ordinary and partial differential equations (along with CD)

By: Henner, Victor.
Contributor(s): Belozerova, Tatyana [Co author] | Khenner, Mikhail [Co author].
Material type: materialTypeLabelBookPublisher: New York CRC Press 2013Description: xiv, 629 p. Includes bibliographical references, index and with CD.ISBN: 9781466515000.Subject(s): Differential equations | Partial differential equations | Analysis | Integral equationsDDC classification: 515.352 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. https://www.crcpress.com/Ordinary-and-Partial-Differential-Equations/Henner-Belozerova-Khenner/p/book/9780367380373
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Books Vikram Sarabhai Library
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Slot 1375 (0 Floor, East Wing) Non-fiction 515.352 H3O7 (Browse shelf) Available 200153
CD-DVD-VHS Vikram Sarabhai Library
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Non-fiction D002617 (Browse shelf) Not for loan CD002617

Table of Contents

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.

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.

https://www.crcpress.com/Ordinary-and-Partial-Differential-Equations/Henner-Belozerova-Khenner/p/book/9780367380373

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