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  3. Analytic Combinatorics
  • Cited by 1351
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    • Publisher:
      Cambridge University Press
      Publication date:
      April 2011
      January 2009
      ISBN:
      9780511801655
      9780521898065
      DOI:
      https://doi.org/10.1017/CBO9780511801655
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      1.6kg, 826 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding
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    Subjects:
    Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding
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    Book description

    Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

    Awards

    Winner, 2019 Leroy P. Steele Prize for Mathematical Exposition, American Mathematical Society

    Winner of the Choice Outstanding Academic Title 2009

    Reviews

    '… thorough and self-contained … presentation of … topics is very well organised … provides an ample amount of examples and illustrations, as well as a comprehensive bibliography. It is valuable both as a reference work for researchers working in the field and as an accessible introduction suitable for students at an advanced graduate level.'

    Source: EMS Newsletter

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