Partial Differential Equations - Hillen, T.

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Résumé :
Provides more than 150 fully solved problems for linear partial differential equations and boundary value problems. Partial Differential Equations: Theory and Completely Solved Problems offers a modern introduction into the theory and applications of linear partial differential equations (PDEs). It is the material for a typical third year university course in PDEs. The material of this textbook has been extensively class tested over a period of 20 years in about 60 separate classes. The book is divided into two parts. Part I contains the Theory part and covers topics such as a classification of second order PDEs, physical and biological derivations of the heat, wave and Laplace equations, separation of variables, Fourier series, D'Alembert's principle, Sturm-Liouville theory, special functions, Fourier transforms and the method of characteristics. Part II contains more than 150 fully solved problems, which are ranked according to their difficulty. The last two chapters include sample Midterm and Final exams for this course with full solutions.

Biographie:
T. HILLEN, Dr. rer. nat. is Professor and Associate Chair (Research) in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. Dr. Hillen is a world leading expert in PDEs applied to biological processes and he has published extensively on the mathematical modelling of cell movement, cancer growth and treatment, and spatial distribution of biological species. I.E. LEONARD, PhD is retired from being a lecturer in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. Dr. Leonard has developed sophisticated teaching strategies for a wide range of mathematics courses, including geometry, real and complex analysis, and PDEs. His research is in the area of real analysis and discrete mathematics. H. VAN ROESSEL, PhD is a retired Professor at the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. Dr. van Roessel has worked on applications of PDEs to coagulation-fragmentation problems and related mathematical models.