Elementary Theory of Metric Spaces | A Course in Constructing Mathematical Proofs
Robert B. Reisel
ISBN 10: 0387907068 ISBN 13: 9780387907062
Editore: Springer, 1998
Nuovi
Taschenbuch
Da
preigu, Osnabrück, Germania
Valutazione del venditore 5 su 5 stelle
Venditore AbeBooks dal 5 agosto 2024
Questo articolo specifico non è più disponibile.
Riguardo questo articolo
Descrizione:
Elementary Theory of Metric Spaces | A Course in Constructing Mathematical Proofs | Robert B. Reisel | Taschenbuch | Universitext | 120 S. | Englisch | 1998 | Springer | EAN 9780387907062 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 107102217
Riassunto:
Science students have to spend much of their time learning how to do laboratory work, even if they intend to become theoretical, rather than experimental, scientists. Mathematics students must try to prove results and then have their work criticized by experienced mathematicians.
Contenuti: 0. Some Ideas of Logic.- I. Sets and Mappings.- 1. Some Concepts of Set Theory.- 2. Some Further Operations on Sets.- 3. Mappings.- 4. Surjective and Injective Mappings.- 5. Bijective Mappings and Inverses.- II. Metric Spaces.- 1. Definition of Metric Space and Some Examples.- 2. Closed and Open Balls; Spheres.- 3. Open Sets.- 4. Closed Sets.- 5. Closure of a Set.- 6. Diameter of a Set; Bounded Sets.- 7. Subspaces of a Metric Space.- 8. Interior of a Set.- 9. Boundary of a Set.- 10. Dense Sets.- 11. Afterword.- III. Mappings of Metric Spaces.- 1. Continuous Mappings.- 2. Continuous Mappings and Subspaces.- 3. Uniform Continuity.- IV. Sequences in Metric Spaces.- 1. Sequences.- 2. Sequences in Metric Spaces.- 3. Cluster Points of a Sequence.- 4. Cauchy Sequences.- 5. Complete Metric Spaces.- V. Connectedness.- 1. Connected Spaces and Sets.- 2. Connected Sets in R.- 3. Mappings of Connected Spaces and Sets.- VI. Compactness.- 1. Compact Spaces and Sets.- 2. Mappings of Compact Spaces.- 3. Sequential Compactness.- 4. Compact Subsets of R.- Afterword.- Appendix M. Mathematical Induction.- Appendix S. Solutions.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Dati bibliografici
Titolo: Elementary Theory of Metric Spaces | A ...
Casa editrice: Springer
Data di pubblicazione: 1998
Legatura: Taschenbuch
Condizione: Neu