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The Mathematical Legacy of Richard P. Stanley

Patricia Hersh, Thomas Lam, Pavlo Pylyavskyy, and Victor Reiner, editors
American Mathematical Society
Publication Date: 
Number of Pages: 
[Reviewed by
Miklós Bóna
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This volume, which was published to honor Richard Stanley on the occasion of his seventieth birthday, is much more than a typical Festschrift.

It starts with a 38-page summary written by Stanley himself in which he briefly describes each of his 170 publications, starting in 1966 and ending in 2015. This is not a list of abstracts; the papers are put into context, and there is added insight that was not necessarily available at the time when the papers were written. This is a very valuable source for scholars of many branches of combinatorics.

Then comes a collection of 19 survey papers on various areas where Stanley worked, such as geometric, algebraic, topological, and enumerative combinatorics. As it is easy to guess from the last sentence, most combinatorialists will find a few chapters in this book that they will enjoy and from which they will learn, though probably not too many will understand all of the chapters. This reviewer strongly encourages the reader to check out the table of contents; it is likely that at least one chapter will look interesting.


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Miklós Bóna is Professor of Mathematics at the University of Florida.

See the table of contents in the publisher's webpage.