# Book: Combinatorics Through Guided Discovery (Bogart)

- Page ID
- 6093

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This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially, but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved.

- 1: What is Combinatorics?
- 2: Induction and Recursion
- 3: Distribution Problems
- 4: Generating Functions
- 5: The Principle of Inclusion and Exclusion
- 6: Groups Acting on Sets
- 7: Chapter 8
- 8: Chapter 9
- 9: Chapter 10
- 10: Chapter 11
- 11: Chapter 12
- 12: Chapter 13
- 13: Chapter 15
- 14: Chapter 16
- 15: Chapter 17
- 16: Chapter 18
- 17: Chapter 19
- 18: Chapter 20

*Thumbnail: Rubik's Cube. Image used with permission (CC BY-SA 3.0 Unported; Booyabazooka).*