TY - BOOK AU - Mandelkern,Mark TI - Constructive Continuity T2 - Memoirs of the American Mathematical Society SN - 9781470406875 AV - QA331 -- .M36 1983eb U1 - 510 s;515.7 PY - 1983/// CY - Providence PB - American Mathematical Society KW - Functions, Continuous KW - Constructive mathematics KW - Electronic books N1 - Intro -- CONTENTS -- ABSTRACT -- 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 -- REFERENCES -- INDEX OF SYMBOLS -- INDEX OF TERMS UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113700 ER -