Partial Differential Equations and Mathematica
eBook - ePub

Partial Differential Equations and Mathematica

  1. 440 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Partial Differential Equations and Mathematica

About this book

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.
  • Trusted by 375,005 students

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    Information

    Year
    2018
    Print ISBN
    9781584883142
    eBook ISBN
    9781351989626

    Table of contents

    1. Cover Page
    2. Halftitle Page
    3. Title Page
    4. Copyright Page
    5. Dedication Page
    6. Contents
    7. Preface
    8. Notation
    9. 0: Introduction to Mathematica
    10. 1: Introduction
    11. 2: Method of Characteristics
    12. 3: Linear Equations with Constant Coefficients
    13. 4: Orthogonal Expansions
    14. 5: Separation of Variables
    15. 6: Integral Transforms
    16. 7: Green's Functions
    17. 8: Initial and Boundary Value Problems
    18. 9: Weighted Residual Methods
    19. 10: Perturbation Methods
    20. 11: Finite Difference Methods
    21. A Green's Identities
    22. B Orthogonal Polynomials
    23. C Tables of Integral Transform Pairs
    24. D Bessel Functions
    25. E Mathematica Notebooks and Projects
    26. Bibliography
    27. Index

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    Yes, you can access Partial Differential Equations and Mathematica by Prem K. Kythe,Michael R. Schäferkotter,Pratap Puri in PDF and/or ePUB format, as well as other popular books in Mathematics & Computer Science General. We have over one million books available in our catalogue for you to explore.