Analytic Combinatorics in Several Variables

The book Analytic Combinatorics in Several Variables, 2nd Edition by Robin Pemantle, Mark C. Wilson, and Stephen Melczer will be published in February 2024 by Cambridge University Press. The book is aimed at researchers in analytic combinatorics, and fields in which enumerative questions arise that can be solved by the methods of analytic combinatorics.

The manuscript for the second edition is available for download here.

Available for purchase on the publisher website.

An updating errata list is available here.


Sage notebooks working through the examples in Part 1 of this book is below. Notebooks for the examples in the rest of the book are in progress and will be posted here shortly.

These notebooks have been tested on SageMath 10.1 but should work with any recent version of Sage. A brief introduction to Sage can be viewed or downloaded here. To download the Jupyter notebooks you may need to right-click on the links.


For the Second Edition

For the First Edition

First Edition

The first edition of the book was published in 2013.