Solution Techniques for Elementary Partial Differential Equations, Third Edition

Solution Techniques for Elementary Partial Differential Equations, Third Edition remains a top choice for a typical undergraduate-level course on partial differential equations (PDEs). This third edition of the book enhances the user-friendliness of the text and covers important and commonly used methods for solving PDEs.

Key Features of the Third Edition

• New sections added on the sequence expansion of more general functions, other issues of general second-order linear equations, vibrating string with various types of boundary conditions, and equilibrium temperature in an infinite strip.
• Sections have been reorganized for easier navigation for both students and professors.
• Exercises have been rearranged to appear at the end of each section/subsection rather than at the end of the chapter.
• Inclusion of new and improved exercises and worked examples.
• A brief Mathematica^® program provided for nearly all the worked examples, demonstrating to students how to validate results using a computer.

This highly acclaimed textbook employs a direct and streamlined approach to enhance students’ proficiency in solving PDEs. It offers clear and easily comprehensible explanations along with worked examples that help students visualize the techniques in practice.

About the Author

Christian Constanda, MS, PhD, DSc, holds the Charles W. Oliphant Endowed Chair in Mathematical Sciences and serves as the director of the Center for Boundary Integral Methods at the University of Tulsa. He is also an emeritus professor at the University of Strathclyde and the chairman of the International Consortium on Integral Methods in Science and Engineering. With over 28 books and more than 130 journal papers to his credit, his research interests span boundary value problems for elastic plates with transverse shear deformation, direct and indirect integral equation methods for elliptic and time-dependent problems, and variational techniques in elasticity.

FAQs (Frequently Asked Questions)

1. Is this book suitable for undergraduate students?

Yes, this book is ideal for undergraduate-level courses on partial differential equations (PDEs).

2. What are some of the new additions in the third edition?

The third edition includes new sections on sequence expansion, vibrating strings with different boundary conditions, equilibrium temperature calculations, reorganized content for easier navigation, revised exercises, and additional worked examples.

3. Are solutions available for the exercises in the book?

Yes, the book provides worked examples and a Mathematica^® program for validating results, aiding students in the learning process.

Conclusion

The third edition of Solution Techniques for Elementary Partial Differential Equations continues to be a comprehensive and efficient resource for students and professors alike. With its updated content, clear explanations, and practical examples, this textbook equips students with the knowledge and skills necessary to tackle PDEs successfully.