I am currently taking AP Calculus AB in high school, but I am very interested in computer science and mathematics as a whole. I understand that discrete math and computer science are very closely related. Although I am in high school and there is currently no discrete math offered at my school, I would still like to learn some before going into a college setting. Are there any books, PDFs, or other resources I could use to learn the basics or an introduction to discrete mathematics?
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1Aspects of Combinatorics, Victor Byrant, is a fun, gentle, broad introduction to combinatorics and graph theory. – Mike Earnest Aug 10 '18 at 14:31
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Frankly, I think the most popular textbooks, Johsonbaugh, Rosen, and Epps are wretched. They make a vibrant subject dull as dishwater. Grimaldi is a better book, though some students find it harder, I gather. Frankly, the best intro to discrete math I've ever seen is what I think was the first textbook on the subject, "Finite Mathematical Structures," by Kemeney, Snell and Thompson. At this moment, there's a cheap copy on amazon. You might give it a try.
Apart from that, look at the resources on the Art of Problem Solving website.
saulspatz
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1I recall "Finite Mathematics" by K, S, & T. Likely the same book. Delightful stuff. – DanielWainfleet Aug 10 '18 at 13:50
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One combinatorics book aimed at high-school students is Mathematics of Choice: Or, How to Count Without Counting by Ivan Niven. It's well-written and interesting, with a good choice of topics, and the only prerequisite is high-school algebra. Unfortunately, today Amazon wants \$48 for a used copy and \$118 for new, when the book was originally priced at \$22. Maybe you can find a more reasonably priced copy somewhere else.
awkward
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