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Elements of the Theory of Functions and Functional Analysis

A N Kolmogorov

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 04459294

Nakladatelství Dover Publications Inc., února 1999

Preface Translator's Note CHAPTER I FUNDAMENTALS OF SET THEORY 1. The Concept of Set. Operations... Celý popis

Libristo kód: 04459294

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Zákazníci také koupili

Elements of the Theory of Functions and Functional Analysis [Two Volumes in One] S V Fomin

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Preface Translator's Note CHAPTER I FUNDAMENTALS OF SET THEORY 1. The Concept of Set. Operations on Sets 2. Finite and Infinite Sets. Denumerability 3. Equivalence of Sets 4. The Nondenumerability of the Set of Real Numbers 5. The Concept of Cardinal Number 6. Partition into Classes 7. Mappings of Sets. General Concept of Function CHAPTER II METRIC SPACES 8. Definition and Examples of Metric Spaces 9. Convergence of Sequences. Limit Points 10. Open and Closed Sets 11. Open and Closed Sets on the Real Line 12. Continuous Mappings. Homeomorphism. Isometry 13. Complete Metric Spaces 14. The Principle of Contraction Mappings and its Applications 15. Applications of the Principle of Contraction Mappings in Analysis 16. Compact Sets in Metric Spaces 17. Arzel