Exploratory Examples for Real Analysis - Brossura

Snow, Joanne E.; Weller, Kirk E.

Brossura

ISBN 10: 0883857340 ISBN 13: 9780883857342

Casa editrice: The Mathematical Association of America, 2004

Riassunto

Supplementary exercises and projects for use in maths labs or classes.

Su questo libro

Descrizione del libro

Supplementary exercises and projects designed to facilitate students' understanding of the fundamental concepts in real analysis. They can be used to motivate a lecture; as a basis for in-class activities; in lab sessions. Programs in Maple are supplied with further ancillary material available from http://www.saintmarys.edu/~jsnow/maplets.html.

Contenuti

1. Boundedness of sets; 2. Introducing the 'epsilon definition' of least upper bound; 3. Introduction to the formal definition of convergence; 4. Experience with the definiton of the limit of a sequence; 5. Experience with the negation of the definition of convergence; 6. Algebraic combinations of sequences; 7. Conditions related to convergence; 8. Understanding the limit superior and the limit inferior; 9. Continuity and sequences; 10. Another definition of continuity; 11. Experience with the ε − δ definitions of continuity and limit; 12. Uniform and convergence of a sequence of functions; Appendix. Visual guides; About the authors.

Dettagli dell?edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 2004
• ISBN 10: 0883857340
• ISBN 13: 9780883857342
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 158
• Contatto del produttore: non disponibile