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Algebraic numbers
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101	Candidate Betti numbers for the linear homology of convex polytopes Jonathan Fine 25 February 2013 Add to Reading List Source URL: jonathanfine.files.wordpress.com Language: English - Date: 2013-02-25 11:54:37 Polytopes Algebraic topology Polyhedral combinatorics Topological graph theory Betti number Dehn–Sommerville equations Convex polytope Duality Vector space Mathematics Algebra Geometry
102	1 The Real Number System The rational numbers are beautiful, but are not big enough for various purposes, and the set R of real numbers was constructed in the late nineteenth century, as a kind of an envelope of Q. (Mor Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2012-10-08 12:36:11 Field theory Elementary mathematics Order theory Construction of the real numbers Archimedean property Number system Linear continuum Multiplication Real number Mathematics Abstract algebra Real algebraic geometry
103	Math. Z[removed]:195–208 DOI[removed]s00209[removed]x Mathematische Zeitschrift Virtual Betti numbers and virtual symplecticity Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2014-05-14 19:04:13 Symplectic geometry Differential topology Algebraic topology Symplectic manifold Symplectic vector space Fiber bundle Geometrization conjecture Almost complex manifold Nielsen–Thurston classification Topology Geometric topology 3-manifolds
104	Lecture 2: The real numbers The purpose of this lecture is for us to develop the real number system. This might seem like a very strange thing for us to be doing. It must seem to you that you have been studying real numb Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-08-06 12:25:56 Elementary mathematics Field theory Real numbers Real algebraic geometry Least-upper-bound property Multiplication Supremum Number system Well-order Mathematics Abstract algebra Order theory
105	20 Approximation by rationals (Diophantine approximation) We all know that real numbers can be approximated by the rationals pq (with Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-06-01 18:03:32 Field theory Field extension Irrational number Transcendental numbers Algebraic number theory Pi Liouville number Algebraic number field Abstract algebra Mathematics Algebra
106 $Elementary algebra / Fractions / Algebra / Division / Elementary arithmetic / Algebraic fraction / Factorization / Partial fraction / Heaviside cover-up method / Mathematics / Arithmetic / Numbers$	The Mathematics 11 Competency Test Simplification of Fractions An indispensable aspect of any work with algebraic fractions is simplification of the result. We will demonstrate techniques for simplification of fractions Add to Reading List Source URL: commons.bcit.ca Language: English - Date: 2014-05-26 15:55:57 Elementary algebra Fractions Algebra Division Elementary arithmetic Algebraic fraction Factorization Partial fraction Heaviside cover-up method Mathematics Arithmetic Numbers
107 $Elementary algebra / Elementary arithmetic / Division / Fraction / Numbers / Nth root / Square root / Algebraic fraction / Heaviside cover-up method / Mathematics / Elementary mathematics / Arithmetic$	The Mathematics 11 Competency Test Rationalizing the Denominator This document introduces an important method of algebraic simplification used when radicals involve fractions, or equivalently, when a fraction contains ra Add to Reading List Source URL: commons.bcit.ca Language: English - Date: 2014-05-26 15:56:30 Elementary algebra Elementary arithmetic Division Fraction Numbers Nth root Square root Algebraic fraction Heaviside cover-up method Mathematics Elementary mathematics Arithmetic
108	The Mathematics 11 Competency Test Evaluation of Simple Formulas To evaluate an algebraic expression means to substitute given numbers for each literal symbol in the expression and then carry out the indicated arithmetic Add to Reading List Source URL: commons.bcit.ca Language: English - Date: 2014-05-26 15:56:38 Control flow Eval 5X Exponential function Expression Algebra Mathematics Mathematical analysis Abstract algebra
109 $Elementary arithmetic / Fractions / Elementary algebra / Division / Irreducible fraction / Algebraic fraction / Auxiliary fraction / Heaviside cover-up method / Mathematics / Arithmetic / Numbers$	The Mathematics 11 Competency Test Reducing Numerical Fractions to Simplest Form Add to Reading List Source URL: commons.bcit.ca Language: English - Date: 2014-05-26 15:56:49 Elementary arithmetic Fractions Elementary algebra Division Irreducible fraction Algebraic fraction Auxiliary fraction Heaviside cover-up method Mathematics Arithmetic Numbers
110 $Elementary arithmetic / Fractions / Elementary algebra / Partial fractions / Division / Polynomial / Algebraic fraction / Lowest common denominator / Heaviside cover-up method / Mathematics / Arithmetic / Numbers$	The Mathematics 11 Competency Test Addition and Subtraction of Fractions Add to Reading List Source URL: commons.bcit.ca Language: English - Date: 2014-05-26 15:55:42 Elementary arithmetic Fractions Elementary algebra Partial fractions Division Polynomial Algebraic fraction Lowest common denominator Heaviside cover-up method Mathematics Arithmetic Numbers

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