| Preface ix The companion web site xix To the student xxi PRAT 1 The foundations : logic , sets , and function 1. Logic 2. Propositional equivalences 3. Predicates and quantifiers 4. Sets 5. Set operations 6. Functions 7. Sequences and summations 8. The growth of functions PART 2 The fundamentals : algorithms , the integers , and matrices 1. Algorithms 2. Complexity of algorithms 3. The integers and division 4. Integers and algorithms 5. Applications of number theory 6. Matrices PART 3 Mathematical reasoning 1. Methods o |
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