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Connecting Discrete Mathematics and Computer Science

Authors

David Liben-Nowell
, Carleton College, Minnesota
Published 2022

Description

Computer science majors taking a non-programming-based course like discrete mathematics might ask 'Why do I need to learn this?' Written with these students in mind, this text introduces the mathematical foundations of computer science by providing a comprehensive treatment of standard technical topics while simultaneously illustrating some of the broad-ranging applications of that material throughout the field. Chapters on core topics from discrete structures – like logic, proofs, number theory, counting, probability, graphs – are augmented with around 60 'computer…

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Key features

  • Includes 1700 exercises (with an instructors' solutions manual), 435 worked examples, and 480 figures
  • Covers all recommended topics for a Discrete Structures course in the ACM Curriculum Guidelines for Undergraduate Degree Programs in Computer Science
  • Connects course material to programming, data structures, other core CS topics, and the real world by beginning each chapter with a 'why you might care' section and discussing how the material in each section is connected to CS through 60 'Computer Science Connections' pages
  • Concludes each chapter with a quick-reference guide and summary of key terms and results
  • Motivates students interested in more technical details with 'Taking it Further' asides, including alternate ways of thinking about a definition or why something is called the thing it's called
  • Livens up the material with a conversational tone, and offers tips throughout for problem-solving and how to write up results

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