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Maths foundations

Mathematical proof

Direct proof, contradiction and induction, plus the habit of writing precise definitions.

About 20 hours of study.

Where to learn it

Read
Mathematics for Computer Science (MIT 6.042J)

Eric Lehman, Tom Leighton, Albert Meyer

Part I: Proofs

The course text is a free PDF on the course page.

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Watch
Mathematics for Computer Science, video lectures (MIT 6.042J, Fall 2010)

Tom Leighton, Marten van Dijk

The proof and induction lectures at the start

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Mathematical proof