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The Resource Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland

Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland

Label
Analytic combinatorics in several variables
Title
Analytic combinatorics in several variables
Statement of responsibility
Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland
Creator
Contributor
Subject
Language
eng
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"--
Member of
Assigning source
Provided by publisher
Cataloging source
DLC
http://library.link/vocab/creatorName
Pemantle, Robin
Dewey number
511/.6
Index
index present
LC call number
QA164.8
LC item number
.P46 2013
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1967-
http://library.link/vocab/relatedWorkOrContributorName
Wilson, Mark C.
Series statement
Cambridge studies in advanced mathematics
Series volume
140
http://library.link/vocab/subjectName
  • Combinatorial enumeration problems
  • Functions of several complex variables
  • MATHEMATICS / Discrete Mathematics
  • Aufzählbarkeit
  • Mehrere Variable
  • Kombinatorische Zahlentheorie
Label
Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 363-371) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
1. Introduction -- 2. Generating functions -- 3. Univariate asymptotics -- 4. Fourier-Laplace integrals in one variable -- 5. Fourier-Laplace 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
Control code
830030004
Dimensions
24 cm
Extent
xiii, 380 pages
Isbn
9781107031579
Lccn
2012049386
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)830030004
Label
Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 363-371) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
1. Introduction -- 2. Generating functions -- 3. Univariate asymptotics -- 4. Fourier-Laplace integrals in one variable -- 5. Fourier-Laplace 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
Control code
830030004
Dimensions
24 cm
Extent
xiii, 380 pages
Isbn
9781107031579
Lccn
2012049386
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)830030004

Library Locations

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