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 363-371) 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 363-371) 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.bowdoin.edu/portal/Analytic-combinatorics-in-several-variables/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/Analytic-combinatorics-in-several-variables/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>
