How to Guard an Art Gallery and Other Discrete Mathematical Adventures

Explores various discrete mathematical concepts through engaging problems and applications. It begins by examining counting problems, such as dividing a pizza or counting points within shapes, introducing formulas like Pick's Theorem for area. The text then addresses geometric puzzles related to visibility and guarding, like the art gallery problem, and explores number theory topics including quadratic residues and stamp problems, utilizing methods like arithmetic arrays and the concept of unattainability. Throughout, the excerpts use visual aids and algorithmic approaches to explain complex ideas in a relatable way, often drawing connections to real-world scenarios like calendar systems or cryptography.

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