Description

Book Synopsis

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.




Table of Contents
Introduction.- First Order PDEs.- Second Order Linear PDEs.- Fourier Series.- Separation of Variables.- Fourier Transform.

An Introduction to Partial Differential Equations

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    A Hardback by Daniel Arrigo

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      Book details

      Publisher Springer International Publishing AG
      Published 21 January 2023
      ISBN-13 9783031220869
      978-3031220869
      ISBN-10 3031220862
      Also in:
      Differential calculus and equations Functional analysis and transforms

      Description

      Book Synopsis

      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.




      Table of Contents
      Introduction.- First Order PDEs.- Second Order Linear PDEs.- Fourier Series.- Separation of Variables.- Fourier Transform.

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