Ordinary and Partial Differential Equations

Victor Henner, Tatyana Belozerova, Mikhail Khenner

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January 29, 2013 by A K Peters/CRC Press
Textbook - 644 Pages - 244 B/W Illustrations
ISBN 9781466515000 - CAT# K15023

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Features

    • Provides full coverage of ODEs and PDEs for students in the physical, engineering, biological, and mathematical sciences
    • Uses a teaching-by-examples philosophy—including extensive examples and exercises
    • Offers user-friendly software (with tutorials, GUI, and solution visualization capability) for the analytical solution and investigation of PDEs and ODEs
    • Presents advanced topics on ODEs and PDEs

    Figure slides and solutions manual available with qualifying course adoption

    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.