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Combinatorics - Discrete Mathematics and its Applications (Hardcover, 2nd edition)
Loot Price: R3,453
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Combinatorics - Discrete Mathematics and its Applications (Hardcover, 2nd edition)
Series: Discrete Mathematics and Its Applications
Expected to ship within 12 - 17 working days
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Combinatorics, Second Edition is a well-rounded, general
introduction to the subjects of enumerative, bijective, and
algebraic combinatorics. The textbook emphasizes bijective proofs,
which provide elegant solutions to counting problems by setting up
one-to-one correspondences between two sets of combinatorial
objects. The author has written the textbook to be accessible to
readers without any prior background in abstract algebra or
combinatorics. Part I of the second edition develops an array of
mathematical tools to solve counting problems: basic counting
rules, recursions, inclusion-exclusion techniques, generating
functions, bijective proofs, and linear algebraic methods. These
tools are used to analyze combinatorial structures such as words,
permutations, subsets, functions, graphs, trees, lattice paths, and
much more. Part II cover topics in algebraic combinatorics
including group actions, permutation statistics, symmetric
functions, and tableau combinatorics. This edition provides greater
coverage of the use of ordinary and exponential generating
functions as a problem-solving tool. Along with two new chapters,
several new sections, and improved exposition throughout, the
textbook is brimming with many examples and exercises of various
levels of difficulty.
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