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Least-upper-bound property
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11	Notes on Calculus by Dinakar Ramakrishnan[removed]Caltech Pasadena, CA[removed]Fall 2001 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-10-25 15:24:34 Real analysis Metric geometry Abstract algebra Elementary mathematics Cauchy sequence Series Least-upper-bound property Complete metric space Construction of the real numbers Mathematical analysis Mathematics Calculus
12	2 Sequences and Series In this chapter we will study two related questions. Given an inﬁnite collection X of numbers, which can be taken to be rational, real or complex, the ﬁrst question is to know if there is a li Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-10-17 14:26:53 Metric geometry Elementary mathematics Real analysis Real numbers Convergence Cauchy sequence Series Least-upper-bound property Complete metric space Mathematical analysis Mathematics Geometry
13	Dedekind’s forgotten axiom and why we should teach it (and why we shouldn’t teach Add to Reading List Source URL: faculty.uml.edu Language: English - Date: 2011-05-27 10:31:26 Abstraction Dedekind cut Least-upper-bound property Completeness axiom Real number Supremum Completeness Mathematical logic Empty set Mathematics Order theory Mathematical analysis
14	Interval Analysis Without Intervals Paul Taylor 20 February 2006 Add to Reading List Source URL: www.paultaylor.eu Language: English - Date: 2009-02-12 13:25:28 Order theory Real analysis Elementary mathematics Differential calculus Dedekind cut Continuous function Integral Least-upper-bound property Fundamental theorem of calculus Mathematical analysis Mathematics Functions and mappings
15	The Dedekind Reals in Abstract Stone Duality Andrej Bauer and Paul Taylor 3 June 2009 Add to Reading List Source URL: paultaylor.eu Language: English - Date: 2009-06-03 17:25:38 General topology Order theory Real analysis Calculus Measure theory Least-upper-bound property Compact space Intermediate value theorem Continuous function Mathematical analysis Topology Mathematics
16	PDF Document Add to Reading List Source URL: individual.utoronto.ca Language: English - Date: 2006-04-12 21:59:22 Metric geometry Calculus Continuous function Cauchy sequence Least-upper-bound property Arzelà–Ascoli theorem Positive polynomial Mathematical analysis Mathematics Real analysis

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