I am a high school student and I have taken all the math classes that my school provides (through calculus AB). I have been looking at a possible independent study for next year and I have landed on combinatorics and possibly graph theory as well. I plan on using MIT Open courseware's "Combinatorics: The Fine Art of Counting" videos and supplementing them with a textbook.
Does anyone have any suggestions for a textbook
where the only prerequisite would be AP Calculus AB and would be easily comprehended by a high school student? Ideally the book would delve into graph theory as well (I understand these two subjects go hand-in-hand).
to provide solutions (or at least some solutions) to the problems to make sure I am on the right track.
3. Does anyone have an opinion on the following books? I'm worried books from Art of Problem Solving (for middle school/high school students) might be too elementary.
A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory
Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)
Principles and Techniques in Combinatorics
How to Count: An Introduction to Combinatorics
Combinatorics: A Guided Tour (MAA Textbooks)
Introduction to Counting & Probability by David Patrick
Intermediate Counting & Probability by David Patrick