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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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How to Count - An Introduction to Combinatorics and Its Applications (Hardcover, 2015 ed.)
Loot Price: R2,553
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How to Count - An Introduction to Combinatorics and Its Applications (Hardcover, 2015 ed.)
Expected to ship within 12 - 17 working days
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Providing a self-contained resource for upper undergraduate courses
in combinatorics, this text emphasizes computation, problem
solving, and proof technique. In particular, the book places
special emphasis the Principle of Inclusion and Exclusion and the
Multiplication Principle. To this end, exercise sets are included
at the end of every section, ranging from simple computations
(evaluate a formula for a given set of values) to more advanced
proofs. The exercises are designed to test students' understanding
of new material, while reinforcing a working mastery of the key
concepts previously developed in the book. Intuitive descriptions
for many abstract techniques are included. Students often struggle
with certain topics, such as generating functions, and this
intuitive approach to the problem is helpful in their
understanding. When possible, the book introduces concepts using
combinatorial methods (as opposed to induction or algebra) to prove
identities. Students are also asked to prove identities using
combinatorial methods as part of their exercises. These methods
have several advantages over induction or algebra.
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