TY - BOOK AU - Hillen,Thomas AU - Leonard,I.Ed AU - Van Roessel,Henry TI - Partial differential equations: theory and completely solved problems SN - 9781118063309 AV - QA377 .H55 2012 PY - 2012/// CY - Hoboken, N.J. PB - Wiley KW - Differential equations, Partial N1 - Includes bibliographical references and index; -- Table Of Contents; Preface; Part I THEORY; 1 Introduction; 2 Fourier Series; 3 Separation of Variables; 4 Sturm-Liouville Theory; 5 Heat, Wave, and Laplace Equations; 6 Polar Coordinates; 7 Spherical Coordinates; 8 Fourier Transforms; 9 Fourier Transform Methods in PDEs; 10 Method of Characteristics; Part II EXPLICITLY SOLVED PROBLEMS; 11 Fourier Series Problems; 12 Sturm-Liouville Problems; 13 Heat Equation Problems; 14 Wave Equation Problems; 15 Laplace Equation Problems; 16 Fourier Transform Problems; 17 Method of Characteristics Problems; 18 Four Sample Midterm Examinations; 19 Four Sample Final Examinations; Appendix A Gamma Function; Bibliography; Index N2 - "Combining over 28 years of teaching experience, the authors present a PDE text that is accessible to all students--regardless of their background or mathematical sophistication. The book provides over 150 completely worked problems with solutions and commentaries for both linear partial differential equations and boundary value problems with applications in engineering and biology. Topics covered include a classification of PDEs, heat equation, wave equation, Laplace's equation, separation of variables, Fourier series, classical PDEs, Sturm-Liouville problems, special functions, transform methods, and the method of characteristics for first order PDEs"-- ER -