This book is an introduction to the ideas from general topology that are used in elementary analysis.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
An attempt has been made throughout not only to prepare the ground for more advanced work, but also to revise and to illuminate the material which students will have met previously but may have not fully understood. This book is an introduction to the ideas from general topology that are used in elementary analysis.
Introduction; 13. Distance; 14. Open and closed sets (I) 15. Open and closed sets (II); 16. Continuity; 17. Connected sets; 18. Cluster points; 19. Compact sets (I); 20. Compact Sets (II); 21. Topology; 22. Limits and continuity (I); 23. Limits and continuity (II); 24. Points at infinity; 25. Sequences; 26. Oscillation; 27. Completeness; 28. Series; 29. Infinite sums; 30. Separation in R n.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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