Constructive continuity / [electronic resource] Mark Mandelkern.

By: Mandelkern, Mark, 1933-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 277Publication details: Providence, R.I. : American Mathematical Society, c1983Description: 1 online resource (v, 117 p.)ISBN: 9781470406875 (online)Subject(s): Functions, Continuous | Constructive mathematicsAdditional physical formats: Constructive continuity /DDC classification: 510 s | 515.7 LOC classification: QA3 | .A57 no. 277 | QA331.5Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Link to resource Available EBK12730

Bibliography: p. 111-112.

Includes indexes.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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