6.1200J Mathematics for Computer Science
6.1200J Mathematics for Computer Science (Spring 2024, MIT OCW). Instructors: Prof. Eric Demaine, Dr. Zachary Abel, and Dr. Brynmor Chapman. This course covers elementary discrete mathematics for science and engineering, with a focus on mathematical tools and proof techniques useful in computer science. Topics include logical notation, sets, relations, elementary graph theory, state machines and invariants, induction and proofs by contradiction, recurrences, asymptotic notation, elementary analysis of algorithms, elementary number theory and cryptography, permutations and combinations, counting tools, and discrete probability. (from ocw.mit.edu)
| Lecture 02 - Contradiction and Induction |
Today we will explore some basic (but crucial!) proof techniques, and then two powerful techniques: proof by contradiction and proof by induction.
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