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The Geometry of Efficient Fair Divisionby Julius B. Barbanel; Alan D. Taylor
Cambridge University Press 2005; US$ 112.00The author focuses exclusively on abstract existence results, rather than algorithms, and on the geometric objects that arise naturally in this context. By examining the shape of these objects and the relationship between them, he demonstrates several results concerning efficiency properties such as Pareto maximality and fairness properties such as envy-freeness for partitions. more...
Combinatorics Of Permutationsby Miklos Bona
Taylor & Francis 2004; US$ 89.95Devoted to the combinatorics of permutations, this volume covers both enumerative and external combinatorics, and is intended as a graduate text and a reference for professional mathematicians. more...
Latin Squaresby J. Denes; A.D. Keedwell
Elsevier 1991; US$ 135.00In 1974 the editors of the present volume published a well-received book entitled ``Latin Squares and their Applications''. It included a list of 73 unsolved problems of which about 20 have been completely solved in the intervening period and about 10 more have been partially solved. The present work comprises six contributed chapters and also six further chapters written by the editors themselves. As well as discussing the advances which have been made in the subject matter of most of the chapters of the earlier book, this new book contains one chapter which deals with a subject (r-orthogonal latin squares) which did not exist when the earlier book was written. The success of the former book is shown by the two or three hundred published... more...
Permutation Tests for Stochastic Ordering and ANOVAby Dario Basso; Fortunato Pesarin; Luigi Salmaso; Aldo Solari
Springer 2009; US$ 79.95Permutation testing for multivariate stochastic ordering and ANOVA designs is a fundamental issue in many scientific fields such as medicine, biology, pharmaceutical studies, engineering, economics, psychology, and social sciences. This book presents advanced methods and related R codes to perform complex multivariate analyses. more...
The Theory of Partitionsby George E. Andrews
Cambridge University Press 1984; US$ 45.00Discusses mathematics related to partitions of numbers into sums of positive integers. more...
The Zen of Magic Squares, Circles, and Starsby Clifford A. Pickover
Princeton University Press 2011; US$ 29.95Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains... more...
Partitions, q-Series, and Modular Formsby Krishnaswami Alladi; Frank Garvan
Springer 2012; US$ 124.00Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions. more...
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