<P>THIS BOOK IS DESIGNED AS AN ADVANCED UNDERGRADUATE OR A FIRST-YEAR GRADUATE COURSE FOR STUDENTS FROM VARIOUS DISCIPLINES. THE MAIN PURPOSE IS ON THE ONE HAND TO TRAIN STUDENTS TO APPRECIATE THE INTERPLAY BETWEEN THEORY AND MODELING IN PROBLEMS ARISING IN THE APPLIED SCIENCES, AND ON THE OTHER HAND TO GIVE THEM A SOLID THEORETICAL BACKGROUND FOR NUMERICAL METHODS. AT THE END OF EACH CHAPTER, A NUMBER OF EXERCISES AT DIFFERENT LEVEL OF COMPLEXITY IS INCLUDED</P>

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"This book reflects several years of the author’s teaching experience ... on partial differential equations taught to students in applied mathematics, physics and engineering. ... The book is well-organized and is written in a lucid and rigorous manner. ... This highly recommended book is a good resource for a solid course on modern methods and applications of partial differential equations at the advanced undergraduate or introductory graduate level." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1146, 2008)

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