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Sets, functions, and logic: an introduction to abstract mathematics

Sets, functions, and logic: an introduction to abstract mathematics

Devlin, Keith J., 1947-

Since its first publication in 1981, this text has smoothed the road to higher mathematics for legions of undergraduate students. Now in its third edition, the author has fully revised his text to reflect the needs of a new generation

Hardback, Book. English.
3rd ed.
All formats and editions (3)
Published Boca Raton, Fla.: Chapman & Hall/CRC, c2004
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Available on the shelf at Aldrich.

  • Aldrich – One available in 511.3/DEV

    Barcode Shelfmark Loan type Status
    07140282 511.3/DEV Long loan Available
    08263647 511.3/DEV Long loan Due back 8th October
    08260702 511.3/DEV Long loan Due back 10th October

Details

Statement of responsibility: Keith Devlin
ISBN: 1584884495, 9781584884491
Intended audience: Specialized.
Note: Includes index.
Physical Description: x, 143 p. : ill. ; 25 cm.
Series: Chapman & Hall/CRC mathematics
Subject: Mathematics.

Contents

  1. PREFACE
  2. STUDENTS START HERE
  3. WHAT IS MATHEMATICS AND WHAT DOES IT DO FOR US?
  4. It's Not Just Numbers
  5. Mathematical Notation
  6. Making the Invisible Visible
  7. This is Where You Come In
  8. The Study of Modern Mathematics
  9. MATH SPEAK
  10. The Language of Mathematics: Part 1
  11. Properties of the Language
  12. The Language of Mathematics: Part 2
  13. Properties of Quantification
  14. Proofs in Mathematics
  15. The Integers
  16. Mathematical Truth
  17. SET THEORY
  18. Sets
  19. Operations on Sets
  20. Real Intervals
  21. Absolute Values
  22. Inequalities
  23. Arbitrary Unions and Intersections
  24. Cartesian Products
  25. The Historical Development of Set Theory
  26. FUNCTIONS
  27. The Function Concept
  28. Examples of Functions
  29. History of the Modern Function Concept
  30. One-One and onto Functions
  31. Composition and Inverse Functions
  32. Denumerability
  33. Uncountability
  34. RELATIONS
  35. Binary Relations
  36. Properties of Relations
  37. Relations as Sets of Ordered Pairs
  38. Relations as Graphs
  39. Equivalence Relations
  40. Functions as Relations
  41. An Example: the Reals
  42. Upper Bounds. Completeness
  43. Sequences
  44. No Answers to the Exercises
  45. List of Symbols
  46. Index