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Discrete Structures Lecture Notes - Stanford University

Discrete StructuresLecture NotesVladlen Koltun1 Winter 20081 Computer Science Department, 353 Serra Mall, Gates 374, Stanford University , Stanford , CA94305, Sets and Defining sets .. Set operations .. More sets ..42 Introducing induction .. Strong induction .. Why is the induction principle true? ..83 More Proof Proofs by contradiction .. Direct proofs ..124 The division algorithm .. Remainders .. Greatest common divisors .. Greatest common divisors and linear combinations.

actually mean? These numbers can be formally defined in terms of sets. Even more involved is the formal definition of the reals, usually covered in a first mathematical analysis course. Here we cannot afford to cover everything in complete detail, which would have to include, among other things, basic algebra and trigonometry. Furthermore ...

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