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Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Plya theory, combinatorial designs, error correcting codes, partially ordered sets, and selected applications to graph theory including the enumeration of trees, the chromatic polynomial, and introductory Ramsey theory. The only prerequisites are singlevariable calculus and familiarity with sets and basic proof techniques. It is flexible enough to be used for undergraduate courses in combinatorics, second courses in discrete mathematics, introductory graduate courses in applied mathematics programs, as well as for independent study or reading courses. It also features approximately 350 reading questions spread throughout its eight chapters. These questions provide checkpoints for learning and prepare the reader for the endofsection exercises of which there are over 470.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer,
birth defects, or other reproductive harm.
Q: What topics does 'Combinatorics: A Guided Tour' cover?A: This book covers enumeration, existence, construction, and optimization questions concerning finite sets, focusing on counting principles, generating functions, recurrence relations, combinatorial designs, and applications to graph theory.
Q: Who is the author of 'Combinatorics: A Guided Tour'?A: The author of the book is David R. Mazur.
Q: What is the recommended background for readers of this book?A: The only prerequisites are single-variable calculus and a familiarity with sets and basic proof techniques.
Q: How many pages does 'Combinatorics: A Guided Tour' contain?A: The book has a total of 410 pages.
Q: What is the binding type of this book?A: This book is available in hardcover binding.
Q: When was 'Combinatorics: A Guided Tour' published?A: The book was published on March 18, 2010.
Q: What edition is 'Combinatorics: A Guided Tour'?A: This book is a UK edition.
Q: Are there exercises included in the book?A: Yes, the book features over 470 exercises along with approximately 350 reading questions to enhance learning.
Q: Is this book suitable for independent study?A: Yes, it is flexible enough for independent study, as well as for undergraduate and graduate courses in mathematics.
Q: What condition is the used book in?A: The used book is in good condition.
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