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Constructive Continuity
 
Constructive Continuity
eBook ISBN:  978-1-4704-0687-5
Product Code:  MEMO/42/277.E
List Price: $21.00
MAA Member Price: $18.90
AMS Member Price: $12.60
Constructive Continuity
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Constructive Continuity
eBook ISBN:  978-1-4704-0687-5
Product Code:  MEMO/42/277.E
List Price: $21.00
MAA Member Price: $18.90
AMS Member Price: $12.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 421983; 117 pp
    MSC: Primary 26; Secondary 03; 54;
  • Table of Contents
     
     
    • Chapters
    • 1. Problems, methods, and main results
    • Part I. Preliminaries
    • 2. Brouwerian counterexamples
    • 3. Real numbers
    • 4. Infima and suprema
    • 5. Metric spaces
    • Part II. Reliefs and continuous functions
    • 6. Reliefs
    • 7. Continuity
    • 8. Intermediate values
    • 9. Bounds and extremes
    • 10. Connectivity and convexity
    • 11. Located sets
    • Part III. Monotone functions
    • 12. Monotonicity
    • 13. Monotonicity and continuity
    • Part IV. Relief functions and the limited continuity principle
    • 14. Relief functions
    • 15. Existence of relief functions
    • 16. The limited continuity principle
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 421983; 117 pp
MSC: Primary 26; Secondary 03; 54;
  • Chapters
  • 1. Problems, methods, and main results
  • Part I. Preliminaries
  • 2. Brouwerian counterexamples
  • 3. Real numbers
  • 4. Infima and suprema
  • 5. Metric spaces
  • Part II. Reliefs and continuous functions
  • 6. Reliefs
  • 7. Continuity
  • 8. Intermediate values
  • 9. Bounds and extremes
  • 10. Connectivity and convexity
  • 11. Located sets
  • Part III. Monotone functions
  • 12. Monotonicity
  • 13. Monotonicity and continuity
  • Part IV. Relief functions and the limited continuity principle
  • 14. Relief functions
  • 15. Existence of relief functions
  • 16. The limited continuity principle
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.