Search Results for: "Discrete Mathematics"

Discrete! #33: Discrete Mathematics and Its Applications 2.4 Part A

Tweet2.4: Sequences and Summations My general sense on this sections is that the real action is in problem-solving, since summations and sequences are conceptually pretty easy. So, I’m gonna be a bit breezy here and then we can get into … Continue reading

Posted in Autodidaction, Discrete Math | 1 Comment

Discrete! #31: Discrete Mathematics and Its Applications 2.3, Part C

Tweet2.3: Functions Part C (Starts with Inverse Functions and Compositions of Functions) Inverse Functions and Compositions of Functions Inverse functions are pretty much what you’d guess. If you have a function that maps from A to B, inverse functions get … Continue reading

Posted in Autodidaction, Discrete Math | 5 Comments

Discrete! #30: Discrete Mathematics and Its Applications: 2.3B

Tweet2.3: Functions Part B (Starts with One-to-One and Onto functions) One-to-One and Onto Functions BOOK DEFINITION: “A function f is said to be one-to-one, or injective, if and only if f(a) = f(b) implies that a=b for all a and … Continue reading

Posted in Autodidaction, Discrete Math | 2 Comments

Discrete! #29: Discrete Mathematics and Its Applications 2.3, Part A

Tweet2.3: Functions I’ve got good news and bad news. The good news is that you’re finally going to have a rigorous sense of functions. In calculus you sort of insist that you know what they are, but you really only … Continue reading

Posted in Autodidaction, Discrete Math | 4 Comments

Discrete! #27: Discrete Mathematics and Its Applications 2.2

Tweet2.2: Set Operations Things are getting more interesting! Now we introduce some operations called union and intersection, denoted as ∪ and ∩ respectively. These are very clever symbols, since they look a lot like our OR and AND symbols, ∨ … Continue reading

Posted in Autodidaction, Discrete Math | 3 Comments

Discrete! #25: Discrete Mathematics and Its Applications 2.1

TweetChapter 2: Basic Structures: Sets, Functions, Sequences, and Sums Hot diggity – you’re about to get a bunch of new symbols and terms to add to your math vocabulary. This section is a gentle introduction to a bunch of the … Continue reading

Posted in Autodidaction, Discrete Math | 1 Comment

Discrete! #20: Discrete Mathematics and Its Applications 1.6

Tweet1.6: Introduction to Proofs This strikes me as one of those sections where you learn more by doing than by reading. So, I’ll go through the basics here, then we’ll work some problems. Direct Proofs A direct proof is a … Continue reading

Posted in Autodidaction, Discrete Math | 2 Comments

Discrete! #19: Discrete Mathematics and Its Applications: Interesting Problems in 1.5

TweetInteresting Problems in 1.5 This is a pretty fun little problem set, since we’re finally getting to do some real tinkering with logic. That said, a lot of the early problems are pretty damn simple. Or else, they’re (in my … Continue reading

Posted in Autodidaction, Discrete Math | 12 Comments

Discrete! #18: Discrete Mathematics and Its Applications 1.5B

TweetRules of Inference for Quantified Statements This section will be much clearer later once we’ve talked about sets. But this is a good beginning. Here, we get 4 ways to make inferences from the two quantifiers. I actually think the … Continue reading

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Discrete! #17: Discrete Mathematics and Its Applications: 1.5A

Tweet1.5: Rules of Inference HOOOOO DOGGIE, we’re getting to the fun stuff. This section really just takes stuff you already know and shows you how to use it to construct arguments. What’s an argument? An argument is a list of … Continue reading

Posted in Autodidaction, Discrete Math | 5 Comments