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Title | Introduction to Theoretical Computer Science: |
Description | index Textbook on Theoretical Computer Science by Boaz |
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WebSite | introtcs.org |
Host IP | 167.172.136.193 |
Location | United Kingdom |
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US$1,983,091
Last updated: 2023-05-09 22:03:42
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Introduction to Theoretical Computer Science p Preface p.1 To the student p.1.1 Is the effort worth it? p.2 To potential instructors p.3 Acknowledgements 0 Introduction 0.1 Integer multiplication: an example of an algorithm 0.2 Extended Example: A faster way to multiply (optional) 0.3 Algorithms beyond arithmetic 0.4 On the importance of negative results 0.5 Roadmap to the rest of this book 0.5.1 Dependencies between chapters 0.6 Exercises 0.7 Bibliographical notes 1 Mathematical Background 1.1 This chapter: a reader’s manual 1.2 A quick overview of mathematical prerequisites 1.3 Reading mathematical texts 1.3.1 Definitions 1.3.2 Assertions: Theorems, lemmas, claims 1.3.3 Proofs 1.4 Basic discrete math objects 1.4.1 Sets 1.4.2 Special sets 1.4.3 Functions 1.4.4 Graphs 1.4.5 Logic operators and quantifiers 1.4.6 Quantifiers for summations and products 1.4.7 Parsing formulas: bound and free variables 1.4.8 Asymptotics and Big-O notation 1.4.9 Some "rules of thumb" for Big-O notation 1.5 |
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