A short course in differential topology by Bjorn Ian Dundas, pp. 251, £39.99 (hard), ISBN 978-1-10842-579-7, Cambridge University Press (2018)

2020 ◽  
Vol 104 (560) ◽  
pp. 371-373
Author(s):  
Mark Hunacek
Keyword(s):  
Differential Topology ◽  
Cambridge University ◽  
Short Course

Book reviewsACTIVE TECTONICS AND ALLUVIAL RIVERS. SchummS. A., DumontJ. F. and HolbrookJ. M.. Cambridge University Press, 2002 (first published 2000). Paperback, 0 521 89058 6, 276 pp. £27·95.HIDDEN ASPECTS OF URBAN PLANNING. PaulTim, ChowFiona, and KjekstadOddvar (eds). Thomas Telford, 2002, 0 7277 3101 7, 85 pp. £30.ENCYCLOPEDIA OF ARCHITECTURAL AND ENGINEERING FEATS. LangmeadDonald and GarnautChristine, ABC-CLIO Inc., 2001, 1 57607 112 X, 388 pp.A SHORT COURSE IN FOUNDATION ENGINEERING, 2ndEDITION. SimonsNoel and MenziesBruce. Thomas Telford, 2000, 0 7277 2751 6, 244 pp. £45.ENGINEERING IN GLACIAL TILLS. TrenterN. A., Construction Industry Research and Information Association, Report C504, 1999, 0 86017 504 9, 259 pp.A SHORT COURSE IN SOIL AND ROCK SLOPE ENGINEERING. SimonsN., MenziesB. and MatthewsM.. Thomas Telford Limited, 2001. 0 7277 2871 7, 432 pp. £55·00.APPLICATIONS OF COMPUTATIONAL MECHANICS IN GEOTECHNICAL ENGINEERING. FernandesM. M., RibeiroL., SousaE., AzevedoR. F. and VargasE. A. (eds). A. A. Balkema, 2001. 90 5809 114 7.

2003 ◽  
Vol 156 (3) ◽  
pp. 167-169
Author(s):  
M. Barton ◽  
Andrew Bond ◽  
M. E. Andrews ◽  
J. McKinley
Keyword(s):  
Urban Planning ◽  
Construction Industry ◽  
Rock Slope ◽  
Foundation Engineering ◽  
Alluvial Rivers ◽  
Cambridge University ◽  
Slope Engineering ◽  
Industry Research ◽  
Short Course ◽  
Glacial Tills

Functional equations with division and regular operations

2018 ◽  
Vol 11 (03) ◽  
pp. 1850033
Author(s):  
Sergey Davidov ◽  
Aleksandar Krapež ◽  
Yuri Movsisyan
Keyword(s):  
New York ◽  
Functional Equations ◽  
Acta Math ◽  
Reidel Publishing Company ◽  
Mean Values ◽  
Cambridge University ◽  
Several Variables ◽  
Short Course ◽  
The Social ◽  
Generalized Associativity

Functional equations are equations in which the unknown (or unknowns) are functions. We consider equations of generalized associativity, mediality (bisymmetry, entropy), paramediality, transitivity as well as the generalized Kolmogoroff equation. Their usefulness was proved in applications both in mathematics and in other disciplines, particularly in economics and social sciences (see J. Aczél, On mean values, Bull. Amer. Math. Soc. 54 (1948) 392–400; J. Aczél, Remarques algebriques sur la solution donner par M. Frechet a l’equation de Kolmogoroff, Pupl. Math. Debrecen 4 (1955) 33–42; J. Aczél, A Short Course on Functional Equations Based Upon Recent Applications to the Social and Behavioral Sciences, Theory and decision library, Series B: Mathematical and statistical methods (D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1987); J. Aczél, Lectures on Functional Equations and Their Applications (Supplemented by the author, ed. H. Oser) (Dover Publications, Mineola, New York, 2006); J. Aczél, V. D. Belousov and M. Hosszu, Generalized associativity and bisymmetry on quasigroups, Acta Math. Acad. Sci. Hungar. 11 (1960) 127–136; J. Aczél and J. Dhombres, Functional Equations in Several Variables (Cambridge University Press, New York, 1991); J. Aczél and T. L. Saaty, Procedures for synthesizing ratio judgements, J. Math. Psych. 27(1) (1983) 93–102). We use unifying approach to solve these equations for division and regular operations generalizing the classical quasigroup case.

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