Description

Book Synopsis
Many laws of physics are formulated in terms of differential equations. This book puts together the three main aspects of the topic of partial differential equations, namely theory, phenomenology, and applications, from a contemporary point of view.

Table of Contents
  • Introduction
  • Wave equations
  • The heat equation
  • Laplace's equation
  • Properties of the Fourier transform
  • Wave equations on $\mathbb{R}^n$
  • Dispersion
  • Conservation laws and shocks
  • Bibliography
  • Index

    A Course on Partial Differential Equations

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      A Hardback by Walter Craig

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        Publisher: American Mathematical Society
        Publication Date: Publication Date: 30/05/2019
        ISBN13: 9781470442927, 978-1470442927
        ISBN10: 1470442922

        Description

        Book Synopsis
        Many laws of physics are formulated in terms of differential equations. This book puts together the three main aspects of the topic of partial differential equations, namely theory, phenomenology, and applications, from a contemporary point of view.

        Table of Contents
        • Introduction
        • Wave equations
        • The heat equation
        • Laplace's equation
        • Properties of the Fourier transform
        • Wave equations on $\mathbb{R}^n$
        • Dispersion
        • Conservation laws and shocks
        • Bibliography
        • Index

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