G. F. RoachCambridge University PressEdition: 2, 5/27/1982EAN 9780521282888, ISBN10: 0521282888Paperback, 340 pages, 23 x 15.4 x 2.1 cmLanguage: EnglishGreen's functions are an important tool used in solving boundary value problems associated with ordinary and partial differential equations. This self-contained and systematic introduction to Green's functions has been written with applications in mind. The material is presented in an unsophisticated and rather more practical manner than usual. Consequently advanced undergraduates and beginning postgraduate students in mathematics and the applied sciences will find this account particularly attractive. Many exercises and examples have been supplied throughout to reinforce comprehension and to increase familiarity with the technique.PrefacePart I. The Concept of a Green's FunctionPart II. Vector Spaces and Linear TransformationsPart III. Systems of Finite DimensionPart IV. Continuous FunctionsPart V. Integral OperatorsPart VI. Generalized Fourier Series and Complete Vector SpacesPart VII. Differential OperatorsPart VIII. Integral EquationsPart IX. Green's Functions in Higher-Dimensional SpacesPart X. Calculation of Particular Green's FunctionsPart XI. Approximate Green's FunctionsAppendicesBibliographyChapter referencesIndex.
