Description 
xiii, 380 pages ; 24 cm. 
Content Type 
text 
Format 
volume 
Series 
Cambridge studies in advanced mathematics ; 140.

Bibliography 
Includes bibliographical references (pages 363371) and indexes. 
Contents 
1. Introduction  2. Generating functions  3. Univariate asymptotics  4. FourierLaplace integrals in one variable  5. FourierLaplace integrals in more than one variable  6. Techniques of symbolic computation via Gröbner bases  7. Cones, Laurent series and amoebas  8. Overview of analytic methods for multivariate generating functions  9. Smooth point asymptotics 10. Multiple point asymptotics 11. Cone point asymptotics 12. Worked examples  13. Extensions  Appendices. 
Summary 
"Mathematicians have found it useful to enumerate all sorts of things arising in discrete mathematics: elements of finite groups, configurations of ones and zeros, graphs of various sorts; the list is endless. Analytic combinatorics uses analytic techniques to do the counting: generating functions are defined and their coefficients are then estimated via complex contour integrals. This book is the result of nearly fifteen years work on developing analytic machinery to recover, as effectively as possible, asymptotics of the coefficients of a multivariate generating function. It is the first book to describe many of the results and techniques necessary to estimate coefficients of generating functions in more than one variable" Provided by publisher. 
Subject 
Combinatorial enumeration problems.


Functions of several complex variables.

Related Names 
Wilson, Mark C. (Mark Curtis), 1967

ISBN 
1107031575 (hardback) 

9781107031579 (hardback) 
OCLC number 
830030004 
