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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 ..185 Prime The fundamental theorem of arithmetic .. The infinity of primes ..226 Modular Congruences.

notation or prove some theorem in class, you can use these freely in your homework and exams, provided that you clearly cite the appropriate theorems. In writing and speaking mathematics, a delicate balance is maintained between being formal and not getting bogged down in minutia.1 This balance usually becomes second-nature with experience.

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