Partial differential equations and Mathematica

This New Book On Partial Differential Equations Provides A Moreaccessible Treatment Of This Demanding Subject. There Is A Need To Introduce Technology Into Math Courses; Therefore, The Authors Integrate The Use Of Mathematica Throughout The Book, Rather Than Just Providing A Few Sample Problems At The Ends Of Chapters. Although The Text Is Rich In Theory And Develops The Underlying Mathematical Analysis, It Emphasizes The Development Of Methods. Numerous Examples In Every Chapter Present The Techniques That Are Representative Of Virtually Every Concept In The Book. And Unlike Other Textbooks, The Answers, Hints, And Solutions To All Exercises Are Provided On The Spot. Partial Differential Equations And Mathematica Provides Both The Basic Concepts And The Methods For Beginners, While Also Providing Training And Encouragement For Those Who Plan To Continue Their Studies In The Subject Itself Or In Applied Areas. This Is A Textbook That Is Challenging And Instructive, But At The Same Time, Reasonable In Its Demands. Ch. 1. Introduction -- Ch. 2. Method Of Characteristics -- Ch. 3. Linear Equations With Constant Coefficients -- Ch. 4. Orthogonal Expansions -- Ch. 5. Separation Of Variables -- Ch. 6. Integral Transforms -- Ch. 7. Green's Functions -- Ch. 8. Weighted Residual Methods -- Ch. 9. Perturbation Methods -- Ch. 10. Finite Differences -- App. A. Green's Identities -- App. B. Tables Of Transform Pairs -- App. C. Glossary Of Mathematica Functions -- App. D. Mathematica Packages And Notebooks. Prem K. Kythe, Pratap Puri, Michael R. Schäferkotter. Includes Bibliographical References (p. 369) And Index. This new book on partial differential equations provides a more accessible treatment of this demanding subject. There is a need to introduce technology into math courses; therefore, the authors integrate the use of Mathematica throughout the book, rather than just providing a few sample problems at the ends of chapters. Although the text is rich in theory and develops the underlying mathematical analysis, it emphasizes the development of methods. Numerous examples in every chapter present the techniques that are representative of virtually every concept in the book. And unlike other textbooks, the answers, hints, and solutions to all exercises are provided on the spot. Partial Differential Equations and Mathematica provides both the basic concepts and the methods for beginners, while also providing training and encouragement for those who plan to continue their studies in the subject itself or in applied areas. This is a textbook that is challenging and instructive, but at the same time, reasonable in its demands.