The Resource Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource)
Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource)
Resource Information
The item Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Bowdoin College Library.This item is available to borrow from 1 library branch.
Resource Information
The item Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Bowdoin College Library.
This item is available to borrow from 1 library branch.
 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"
 Language
 eng
 Extent
 1 online resource (xiii, 380 pages)
 Contents

 Machine generated contents note: Part I. Combinatorial Enumeration: 1. Introduction; 2. Generating functions; 3. Univariate asymptotics; Part II. Mathematical Background: 4. Saddle integrals in one variable; 5. Saddle integrals in more than one variable; 6. Techniques of symbolic computation via Grobner bases; 7. Cones, Laurent series and amoebas; Part III. Multivariate Enumeration: 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; Part IV. Appendices: Appendix A. Manifolds; Appendix B. Morse theory; Appendix C. Stratification and stratified Morse theory
 Isbn
 9781107031579
 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
 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"
 Assigning source
 Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorName
 Pemantle, Robin
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 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
 Label
 Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource)
 Bibliography note
 Includes bibliographical references (pages 363371) and indexes
 Contents
 Machine generated contents note: Part I. Combinatorial Enumeration: 1. Introduction; 2. Generating functions; 3. Univariate asymptotics; Part II. Mathematical Background: 4. Saddle integrals in one variable; 5. Saddle integrals in more than one variable; 6. Techniques of symbolic computation via Grobner bases; 7. Cones, Laurent series and amoebas; Part III. Multivariate Enumeration: 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; Part IV. Appendices: Appendix A. Manifolds; Appendix B. Morse theory; Appendix C. Stratification and stratified Morse theory
 Control code
 ssj0000919245
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 380 pages)
 Form of item
 online
 Governing access note
 Access restricted to subscribing institutions
 Isbn
 9781107031579
 Isbn Type
 (hardback)
 Lccn
 2012049386
 Specific material designation
 remote
 System control number
 (WaSeSS)ssj0000919245
 Label
 Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource)
 Bibliography note
 Includes bibliographical references (pages 363371) and indexes
 Contents
 Machine generated contents note: Part I. Combinatorial Enumeration: 1. Introduction; 2. Generating functions; 3. Univariate asymptotics; Part II. Mathematical Background: 4. Saddle integrals in one variable; 5. Saddle integrals in more than one variable; 6. Techniques of symbolic computation via Grobner bases; 7. Cones, Laurent series and amoebas; Part III. Multivariate Enumeration: 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; Part IV. Appendices: Appendix A. Manifolds; Appendix B. Morse theory; Appendix C. Stratification and stratified Morse theory
 Control code
 ssj0000919245
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 380 pages)
 Form of item
 online
 Governing access note
 Access restricted to subscribing institutions
 Isbn
 9781107031579
 Isbn Type
 (hardback)
 Lccn
 2012049386
 Specific material designation
 remote
 System control number
 (WaSeSS)ssj0000919245
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bowdoin.edu/portal/Analyticcombinatoricsinseveralvariables/UrMfYW7gW8g/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bowdoin.edu/portal/Analyticcombinatoricsinseveralvariables/UrMfYW7gW8g/">Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bowdoin.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="https://link.bowdoin.edu/">Bowdoin College Library</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bowdoin.edu/portal/Analyticcombinatoricsinseveralvariables/UrMfYW7gW8g/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bowdoin.edu/portal/Analyticcombinatoricsinseveralvariables/UrMfYW7gW8g/">Analytic combinatorics in several variables, Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bowdoin.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="https://link.bowdoin.edu/">Bowdoin College Library</a></span></span></span></span></div>