TY - BOOK ID - 80817047 TI - Introduction to partial differential equations AU - Pinchover, Yehuda AU - Rubinstein, Jacob PY - 2005 SN - 9780511801228 9780521848862 9780521613231 0511111576 9780511111570 9780511197963 0511197969 051180122X 0521848865 052161323X 0521848865 052161323X 1107141206 1139637258 0511567936 051111124X PB - Cambridge : Cambridge University Press, DB - UniCat KW - Differential equations, Partial KW - 517.95 KW - 517.95 Partial differential equations KW - Partial differential equations KW - Differential equations, Partial - Textbooks. UR - https://www.unicat.be/uniCat?func=search&query=sysid:80817047 AB - A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students whilst extended solution sets are available to lecturers from solutions@cambridge.org. ER -