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 Difference and Functional Equations - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to functional equations, those in which a function is sought which is to satisfy certain relations among its values at all points. For example, we may look for functions satisfying f(x*y)=f(x)+f(y) and enquire whether the logarithm function f(x)=log(x) is the only solution. (It's not.) In some cases the nature of the answer is different when we insist that the functional equation hold for all real x, or all complex x, or only those in certain domains, for example. A special case involves difference equations, that is, equations comparing f(x) - f(x-1), for example, with some expression involving x and f(x). In some ways these are discrete analogues of differential equations; thus we face similar questions of existence and uniqueness of solutions, global behaviour, and computational stability. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>
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 Journal of Difference Equations and Applications This journal presents papers on difference equations and the academic, analytical and engineering problems in which they arise. The journal is composed of original research, expository and review articles, as well as papers that present new concepts in ...more>> Math e-Print Archive - Dept. of Mathematics, Florida State University Papers/abstracts to view and download (the files are in gzipped postscript format) by members of the Mathematics Department at Florida State University. Papers are listed in reverse chronological order. ...more>> Michael Singer Differential (and difference) Galois theorist, algorithmic analyst, and computer algebraist, and professor at North Carolina State University. Available here: books and papers, some in PDF, PostScript, or .dvi versions; course notes for Computational ...more>> Paul Nevai Paul Nevai researches orthogonal polynomials and approximation theory. Many of his articles are available here in .dvi format or as html documents. ...more>> Teaching Contemporary Mathematics Conference - North Carolina School of Science and Mathematics (NCSSM) Papers and talks presented at the conference. Download PDF files of Geometry and Programming: The Forgotten and the Avoided; Student Investigations in Algebra 2 and Precalculus; The Mantid: An Extended Data Problem; Errors and Power in Significance Tests; ...more>>
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