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Titlebook: An Introduction to Partial Differential Equations; Daniel J. Arrigo Book 2018 Springer Nature Switzerland AG 2018

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期刊全称An Introduction to Partial Differential Equations
影响因子2023Daniel J. Arrigo
视频video
学科分类Synthesis Lectures on Mathematics & Statistics
图书封面Titlebook: An Introduction to Partial Differential Equations;  Daniel J. Arrigo Book 2018 Springer Nature Switzerland AG 2018
影响因子.This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs that come from a variety of fields in the Natural Sciences and Engineering and is a springboard into this wonderful subject. The chapters include the following topics: First-order PDEs, Second-order PDEs, Fourier Series, Separation of Variables, and the Fourier Transform.The reader is guided through these chapters where techniques for solving first- and second-order PDEs are introduced. Each chapter ends with a series of exercises illustrating the material presented in each chapter...The book can be used as a textbook for any introductory course in PDEs typically found in both science and engineering programs and has been used at the University of Central Arkansas for over ten years..
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https://doi.org/10.1007/978-3-642-58479-4An ordinary differential equation (ODE) is an equation which involves ordinary derivatives. For example, if . = .(.), then the following are ODEs:
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https://doi.org/10.1007/978-3-642-58479-4We are now ready to resume our work on solving the three main equations—the heat equation, Laplace’s equation, and the wave equation—using the method of separation of variables.
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Introduction,An ordinary differential equation (ODE) is an equation which involves ordinary derivatives. For example, if . = .(.), then the following are ODEs:
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Fourier Series,At this point, we will consider the major technique for solving standard boundary value equations. Consider, for example, the heat equation.subject to
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Separation of Variables,We are now ready to resume our work on solving the three main equations—the heat equation, Laplace’s equation, and the wave equation—using the method of separation of variables.
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