Aggregating clones, colors, equations, iterates, numbers, and tiles
著者
書誌事項
Aggregating clones, colors, equations, iterates, numbers, and tiles
Birkhäuser, c1995
- : Basel
- : Boston
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注記
"Reprint from Aequationes mathematicae, volume 50 (1995), no. 1/2" -- T.p. verso
Includes bibliographical references
内容説明・目次
内容説明
The journal aequationes mathematicae publishes papers in pure and applied mathematics and, in particular, articles on functional equations, combinatorics and dynamical systems. Its 50th volume appears in 1995. To mark this occasion, we are publishing in book form a repre- sentative collection of outstanding survey papers assembled for our anniversary issue of aequationes mathematicae. The articles by Quackenbush, Targonski and Moszner discuss composition of functions from different points of view: universal algebra, dynamical systems (iteration) and functional equa- tions. The Ono-Robbins-Wahl and the Vince papers, on number theory and tiles, respectively, are thematically linked by lattices. Combinatorics, in turn, links the Vince paper with that of Tutte, whose subject is chromatic sums, its tools differential and functional equations. The Paganoni-Ratz and the Forti papers deal with conditional functional equations and with the related topic of stability. Applications to the social and behavioral sciences, in particular to aggregation (and some theory) are presented in the paper by J. Aczel. The aim of the collection is to survey selected fields of current interest.
We trust that it will be useful and informative for researchers, teachers, graduate and advanced undergraduate stu- dents of mathematics, and for those interested in applications in related fields. lanDs Aczel Aequationes Mathematicae 50 (1995) 1 0001-9054/95/020001-01 $1.50 + 0.20/0 University of Waterloo (c) 1995 Birkhiiuser Verlag, Basel Editorial Volume 50 of Aequationes Mathematicae This is the fiftieth volume of aequationes mathematicae. Not only our modesty but also lack of space keeps us from self-congratulation.
目次
Editorial.- Survey Papers.- A survey of minimal clones.- General theory of the translation equation.- Some recent applications of functional equations to the social and behavioral sciences. Further problems.- Progress of iteration theory since 1981.- On the representation of integers as sums of triangular numbers.- Chromatic sums revisited.- Conditional functional equations and orthogonal additivity.- Hyers-Ulam stability of functional equations in several variables.- Rep-tiling Euclidean space.
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