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Discrete Mathematics and Its Applications
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1) The Foundations: Logic and Proofs

2) Basic Structures: Sets, Functions, Sequences, Sums, Matrices

3) Algorithms

4) Number Theory and Cryptography

5) Induction and Recursion

6) Counting

7) Discrete Probability

8) Advanced Counting Techniques

9) Relations

10) Graphs

11) Trees

12) Boolean Algebra

13) Modeling Computation