Partial Differential Equations and Mathematica
eBook - PDF

Partial Differential Equations and Mathematica

  1. 440 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

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 dispersionWith 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.

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Information

Publisher
Chapman and Hall/CRC
Year
2018
Print ISBN
9781584883142
eBook ISBN
9781482296327
Edition
2
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Table of Contents
  7. 0: Introduction to Mathematica
  8. 1: Introduction
  9. 2: Method of Characteristics First-Order Equations
  10. 3: Linear Equations with Constant Coefficients
  11. 4: Orthogonal Expansions
  12. 5: Separation of Variables
  13. 6: Integral Transforms
  14. 7: Green’s Functions
  15. 8: Initial and Boundary Value Problems
  16. 9: Weighted Residual Methods
  17. 10: Perturbation Methods
  18. 11: Finite Difference Methods
  19. Appendices:
  20. Bibliography
  21. 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 & Applied Mathematics. We have over one million books available in our catalogue for you to explore.