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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Analytic Combinatorics (Hardcover)
Loot Price: R2,617
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Analytic Combinatorics (Hardcover)
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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.
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