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Elementary Analysis
ISBN-13:
9781475739718
Veröffentl:
2013
Seiten:
264
Autor:
Kenneth A. Ross
Serie:
Undergraduate Texts in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
I Introduction.- II Sequences.- III Continuity.- IV Sequences and Series of Functions.- V Differentiation.- VI Integration.- Appendix on Set Notation.- Selected Hints and Answers.- Symbols Index.
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