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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Analytic Combinatorics - A Multidimensional Approach (Hardcover)
Loot Price: R2,811
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Analytic Combinatorics - A Multidimensional Approach (Hardcover)
Series: Discrete Mathematics and Its Applications
Expected to ship within 10 - 15 working days
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Analytic Combinatorics: A Multidimensional Approach is written in a
reader-friendly fashion to better facilitate the understanding of
the subject. Naturally, it is a firm introduction to the concept of
analytic combinatorics and is a valuable tool to help readers
better understand the structure and large-scale behavior of
discrete objects. Primarily, the textbook is a gateway to the
interactions between complex analysis and combinatorics. The study
will lead readers through connections to number theory, algebraic
geometry, probability and formal language theory. The textbook
starts by discussing objects that can be enumerated using
generating functions, such as tree classes and lattice walks. It
also introduces multivariate generating functions including the
topics of the kernel method, and diagonal constructions. The second
part explains methods of counting these objects, which involves
deep mathematics coming from outside combinatorics, such as complex
analysis and geometry. Features Written with combinatorics-centric
exposition to illustrate advanced analytic techniques Each chapter
includes problems, exercises, and reviews of the material discussed
in them Includes a comprehensive glossary, as well as lists of
figures and symbols About the author Marni Mishna is a professor of
mathematics at Simon Fraser University in British Columbia. Her
research investigates interactions between discrete structures and
many diverse areas such as representation theory, functional
equation theory, and algebraic geometry. Her specialty is the
development of analytic tools to study the large-scale behavior of
discrete objects.
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