Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand.

Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality.

New in this edition:

  • Upgraded and expanded Mathematica sections that include more exercises
  • An entire chapter on boundary value problems
  • More on inverse operators, Legendre functions, and Bessel functions
  • Simplified treatment of Green's functions that make it more accessible to undergraduates
  • A section on the numerical computation of Green's functions
  • Mathemcatica codes for solving most of the problems discussed
  • Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows
  • Wave propagation and dispersion

    With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.
  • Les mer
    Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green's functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.
    Les mer
    Introduction to Mathematica. Introduction. Method of Characteristics. Linear Equations with Constant Coefficients. Orthogonal Expansions. Separation of Variables. Integral Transforms. Green's Functions. Weighted Residual Methods. Perturbation Methods. Finite Differences. Boundary Value Problems. Appendices.
    Les mer

    Produktdetaljer

    ISBN
    9781584883142
    Publisert
    2002-11-12
    Utgave
    2. utgave
    Utgiver
    Vendor
    Chapman & Hall/CRC
    Vekt
    820 gr
    Høyde
    234 mm
    Bredde
    156 mm
    Aldersnivå
    UU, UP, P, 05, 06
    Språk
    Product language
    Engelsk
    Format
    Product format
    Innbundet
    Antall sider
    440

    Biographical note

    Kythe, Prem K.; Schäferkotter, Michael R.; Puri, Pratap