Introduction to partial differential equations
Material type:
TextSeries: Synthesis lectures on mathematics & statisticsPublication details: Cham : Springer, 2023. Edition: 2nd editionDescription: x, 203 pages : illustrations (31 b/w, 26 in colour)ISBN: 9783031220890Subject(s): Differential equations | Fourier analysis | Advection equation | Diffusion equation | Laplace’s equation | Fourier transform | Charpit’s methodDDC classification: 517.95 Online resources: Table of content | Reviews Summary: This textbook is an introduction to the methods needed to solve partial differential equations (PDEs). Readers are introduced to PDEs that come from a variety of fields in engineering and the natural sciences. The chapters include the following topics: First Order PDEs, Second Order PDEs, Fourier Series, Separation of Variables, the Fourier Transform, and higher dimensional problems. Readers are guided through these chapters where techniques for solving first and second order PDEs are introduced. Each chapter ends with series of exercises to facilitate learning as well as illustrate the material presented in each chapter.
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Includes bibliographical references and index.
This textbook is an introduction to the methods needed to solve partial differential equations (PDEs). Readers are introduced to PDEs that come from a variety of fields in engineering and the natural sciences. The chapters include the following topics: First Order PDEs, Second Order PDEs, Fourier Series, Separation of Variables, the Fourier Transform, and higher dimensional problems. Readers are guided through these chapters where techniques for solving first and second order PDEs are introduced. Each chapter ends with series of exercises to facilitate learning as well as illustrate the material presented in each chapter.
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