Description

Book Synopsis
Written for undergraduate students from different cohorts with one sole purpose: to facilitate a proficiency in many core concepts in PDEs while enhancing the intuition and appreciation of the subject. For mathematics students this will in turn provide a solid foundation for graduate study.

Table of Contents
  • Basic definitions
  • First-order PDEs and the method of characteristics
  • The wave equation in one space dimension
  • The wave equation in three and two space dimensions
  • The delta ""function"" and distributions in one space dimension
  • The Fourier transform
  • The diffusion equation
  • The Laplacian, Laplace's equation, and harmonic functions
  • Distributions in higher dimensions and partial differentiation in the sense of distributions
  • The fundamental solution for Green's functions for the Laplacian
  • Fourier series
  • The separation of variables algorithm for boundary value problems
  • Uniting the big three second-order linear equations and what's next
  • Objects and tools of advanced calculus
  • Bibliography
  • Index

Partial Differential Equations A First Course

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    Order before 4pm today for delivery by Thu 6 Aug 2026.

    A Paperback / softback by Rustum Choksi

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      View other formats and editions of Partial Differential Equations A First Course by Rustum Choksi

      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/06/2022
      ISBN13: 9781470464912, 978-1470464912
      ISBN10: 1470464918
      Also in:
      Not Just Books Stationery

      Description

      Book Synopsis
      Written for undergraduate students from different cohorts with one sole purpose: to facilitate a proficiency in many core concepts in PDEs while enhancing the intuition and appreciation of the subject. For mathematics students this will in turn provide a solid foundation for graduate study.

      Table of Contents
      • Basic definitions
      • First-order PDEs and the method of characteristics
      • The wave equation in one space dimension
      • The wave equation in three and two space dimensions
      • The delta ""function"" and distributions in one space dimension
      • The Fourier transform
      • The diffusion equation
      • The Laplacian, Laplace's equation, and harmonic functions
      • Distributions in higher dimensions and partial differentiation in the sense of distributions
      • The fundamental solution for Green's functions for the Laplacian
      • Fourier series
      • The separation of variables algorithm for boundary value problems
      • Uniting the big three second-order linear equations and what's next
      • Objects and tools of advanced calculus
      • Bibliography
      • Index

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