000 02129nam a2200265Ia 4500
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020 _a9780521613231
040 _cIISER BPR
082 _a515.353
_bPIN
_223rd
100 _aPinchover, Yehuda
245 3 _aIntroduction to partial differential equations
250 _a1st ed.
260 _aCambridge:
_bCUP,
_cc2005.
300 _axii, 371p. :
_bill. ;
_c24cm.
520 _aDescriptionContentsResourcesCoursesAbout the Authors 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 and extended solution sets are available to lecturers from solutions@cambridge.org. Many worked examples and exercises, with extended solutions available for lecturers from solutions@cambridge.org An undergraduate textbook which bridges the gap between introductory and advanced courses on differential equations Designed for students with a range of abilities Including appendix, references and index.
650 _aMathematics
650 _aDifferential Equation
650 _aPartial Differential Equations
700 _aRubinstein, Jacob
942 _cBK
_2ddc
947 _a5066.501497
948 _a0.22
999 _c3204
_d3204