Partial differential equations and boundary value problems with Mathematica
著者
書誌事項
Partial differential equations and boundary value problems with Mathematica
CRC Press, c2003
2nd ed.
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注記
Rev. ed. of "Partial differential equations and Mathematica" c1997
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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.
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