Elements of the Theory of Functions and Functional Analysis: ix - Brossura

Kolmogorov, A. N.; Fomin, S. V.

 
9780486406831: Elements of the Theory of Functions and Functional Analysis: ix
Brossura
ISBN 10: 0486406830 ISBN 13: 9780486406831
Casa editrice: Dover Pubns, 1999

Sinossi

Elements Of The Theory Of Functio, 9780486406831

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

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. Arzelà's Theorem and its Applications 18. Compacta 19. Real Functions in Metric Spaces 20. Continuous Curves in Metric Spaces CHAPTER III NORMED LINEAR SPACES 21. Definition and Examples of Normed Linear Spaces 22. Convex Sets in Normed Linear Spaces 23. Linear Functionals 24. The Conjugate Space 25. Extension of Linear Functionals 26. The Second Conjugate Space 27. Weak Convergence 28. Weak Convergence of Linear Functionals 29. Linear Operators ADDENDUM TO CHAPTER III GENERALIZED FUNCTIONS CHAPTER IV LINEAR OPERATOR EQUATIONS 30. Spectrum of an Operator. Resolvents 31. Completely Continuous Operators 32. Linear Operator Equations. Fredholm's Theorems LIST OF SYMBOLS LIST OF DEFINITIONS LIST OF THEOREMS BASIC LITERATURE INDEX

Product Description

Book by A N Kolmogorov S V Fomin

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
1999
Lingua
Inglese
ISBN 10 
0486406830
ISBN 13 
9780486406831
Rilegatura
Copertina flessibile
Numero di pagine
288
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9789998063754: Elements of the Theory of Functions & Functional Analysis: 001

Edizione in evidenza

ISBN 10:  9998063752 ISBN 13:  9789998063754
Rilegato