Sets, Functions, and Logic An Introduction to Abstract Mathematics

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Sets, Functions, and Logic An Introduction to Abstract Mathematics

PDF Free Download | Sets, Functions, and Logic An Introduction to Abstract Mathematics 3rd Edition by Keith Devlin

Contents of Introduction Abstract Mathematics eBook

  • What Is Mathematics and What Does It Do for Us?
  • It’s Not Just Numbers
  • Mathematical Notation
  • Making the Invisible Visible
  • This Is Where You Come In
  • The Stuff of Modern Mathematics
  • Math Speak
  • The Language of Mathematics
  • Properties of the Language
  • Properties of Quantification
  • Proofs in Mathematics
  • The Integers
  • Mathematical Truth
  • Set Theory
  • Sets
  • Operations on Sets
  • Real Intervals
  • Absolute Values
  • Inequalities
  • Arbitrary Unions and Intersections
  • Cartesian Products
  • The Historical Development of Set Theory
  • Functions
  • The Function Concept
  • Examples of Functions
  • History of the Modern Function Concept
  • One-One and Onto Functions
  • Composition and Inverse Functions
  • Denumerability
  • Uncountability
  • Relations
  • Binary Relations
  • Properties of Relations
  • Relations as Sets of Ordered Pairs
  • Relations as Graphs
  • Equivalence Relations
  • Functions as Relations
  • An Example: The Reals
  • Upper Bounds Completeness
  • Sequences

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