Sequences and Series of Real Numbers

Houshang H. Sohrab
Additional contact information
Houshang H. Sohrab: Towson University, Mathematics

Chapter Chapter 2 in Basic Real Analysis, 2014, pp 39-96 from Springer

Abstract: Abstract The elementary theories of real-valued functions of a real variable and of numerical sequences and series are treated in any standard calculus text. In most cases, however, the proofs are given in appendices and omitted from the main body of the course. To give rigorous proofs of the basic theorems on convergence, continuity, and differentiability, one needs a precise definition of real numbers. One way to achieve this is to start with the construction of real numbers from the rational ones by means of Dedekind Cuts.

Keywords: Real Numbers; Standard Calculus Text; Rational Ones; Dedekind Cuts; Nested Interval Theorem (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1841-6_2

Ordering information: This item can be ordered from
http://www.springer.com/9781493918416

DOI: 10.1007/978-1-4939-1841-6_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().