Ordinary and Partial Differential Equations

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Opis: Ordinary and Partial Differential Equations - Victor Henner, Mikhail Khenner, Tatyana Belozerova

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.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.


Szczegóły: Ordinary and Partial Differential Equations - Victor Henner, Mikhail Khenner, Tatyana Belozerova

Tytuł: Ordinary and Partial Differential Equations
Autor: Victor Henner, Mikhail Khenner, Tatyana Belozerova
Producent: CRC Press Inc.
ISBN: 9781466515000
Rok produkcji: 2013
Ilość stron: 644
Oprawa: Twarda
Waga: 1.27 kg


Recenzje: Ordinary and Partial Differential Equations - Victor Henner, Mikhail Khenner, Tatyana Belozerova

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Ordinary and Partial Differential Equations

, ,

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.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.

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Cena 289,80 PLN
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Oszczędzasz 3%
Wysyłka: Niedostępna
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Szczegóły: Ordinary and Partial Differential Equations - Victor Henner, Mikhail Khenner, Tatyana Belozerova

Tytuł: Ordinary and Partial Differential Equations
Autor: Victor Henner, Mikhail Khenner, Tatyana Belozerova
Producent: CRC Press Inc.
ISBN: 9781466515000
Rok produkcji: 2013
Ilość stron: 644
Oprawa: Twarda
Waga: 1.27 kg


Recenzje: Ordinary and Partial Differential Equations - Victor Henner, Mikhail Khenner, Tatyana Belozerova

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