Exploratory Examples for Real Analysis - Brossura

Snow, Joanne E.; Weller, Kirk E.

 
9780883857342: Exploratory Examples for Real Analysis

Sinossi

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

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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.

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