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Analytic Combinatorics in Several Variables

by Robin Pemantle , Mark C. Wilson
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Current price ₹4,442.00
Original price ₹6,833.00
Original price ₹6,833.00
Original price ₹6,833.00
(-35%)
₹4,442.00
Current price ₹4,442.00

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Book cover type: Hardcover
  • ISBN13: 9781107031579
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 392
  • Original Price: GBP 54.99
  • Language: English
  • Edition: N/A
  • Item Weight: 658 grams
  • BISAC Subject(s): Discrete Mathematics

This book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective. Analytic combinatorics is a branch of enumeration that uses analytic techniques to estimate combinatorial quantities: generating functions are defined and their coefficients are then estimated via complex contour integrals. The multivariate case involves techniques well known in other areas of mathematics but not in combinatorics. Aimed at graduate students and researchers in enumerative combinatorics, the book contains all the necessary background, including a review of the uses of generating functions in combinatorial enumeration as well as chapters devoted to saddle point analysis, Groebner bases, Laurent series and amoebas, and a smattering of differential and algebraic topology. All software along with other ancillary material can be located via the book Web site, http: //www.cs.auckland.ac.nz/ mcw/Research/mvGF/asymultseq/ACSVbook/

Pemantle, Robin: - Robin Pemantle is a Professor in the Department of Mathematics at the University of Pennsylvania.

Wilson, Mark C.: - Mark C. Wilson is a Senior Lecturer in the Department of Computer Science at the University of Auckland.

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