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An Invitation to Combinatorics

Authors

Shahriar Shahriari, Pomona College, California
Published 2021

Description

Active student engagement is key to this classroom-tested combinatorics text, boasting 1200+ carefully designed problems, ten mini-projects, section warm-up problems, and chapter opening problems. The author – an award-winning teacher – writes in a conversational style, keeping the reader in mind on every page. Students will stay motivated through glimpses into current research trends and open problems as well as the history and global origins of the subject. All essential topics are covered, including Ramsey theory, enumerative combinatorics including Stirling…

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Key features

  • Promotes discovery, active learning and collaboration with ten mini-projects, warm-up problems in every section, thought-provoking opening chapter problems, and a conversational tone
  • Allows students to work their way up to the most difficult combinatorics exercises by splitting them up into several smaller problems or addressing a single problem with many steps
  • Helps students work out the 1200+ problems and familiarize themselves with well-written solutions by including 256 hints, 181 short answers and 142 complete solutions in the back of the book
  • Includes 'Open Problems and Conjectures' sections that invite the students to explore cutting-edge research in the field
  • Emphasizes the global origins of combinatorics with historical asides and alternative naming of some familiar mathematical objects
  • Serves as a text for a one-semester upper-undergraduate course

About the book

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Author's YouTube Lectures

Watch the author's Combinatorics lectures on YouTube. See the full playlist.

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