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Algebraic number field
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361	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: 2002-01-09 19:42:00 Real algebraic geometry Order theory Functions and mappings Field theory Construction of the real numbers Equivalence relation Cardinal number Continuous function Total order Mathematics Abstract algebra Elementary mathematics
362	M a 160c GLOBAL CLASS FIELD THEORY HOMEWORK SET 1 Spring 2012 INSTRUCTOR: Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2012-04-27 14:55:10 Algebraic number theory Structure Discriminant of an algebraic number field Ring theory Mathematics Ring
363	1 The Number System: An expanded treatment This version is for people who are really interested in Math, but not just those who will be Math majors, especially if they want to learn more than what is Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-10-10 18:55:26 Elementary mathematics Integer sequences Binary operations Algebraic number theory Rational number Construction of the real numbers Number system Multiplication Number Mathematics Abstract algebra Field theory
364	APICS MATH CONTEST[removed]Attempt all questions. Few marks will be given for incomplete or fragmentary answers. Submit only one answer per question per team, working in collaboration. Each question will be graded by a di Add to Reading List Source URL: www.math.unb.ca Language: English - Date: 2006-05-26 13:41:48 Algebraic number theory Homological algebra Mathematical analysis Construction of the real numbers Algebraic number field Mathematics Abstract algebra Function
365	1 The Number System: An expanded treatment This version is for people who are really interested in Math, but not just those who will be Math majors, especially if they want to learn more than what is Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-10-08 17:48:34 Elementary mathematics Integer sequences Binary operations Algebraic number theory Rational number Construction of the real numbers Number system Multiplication Number Mathematics Abstract algebra Field theory
366	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: 2010-10-01 12:25:51 Real algebraic geometry Elementary mathematics Construction of the real numbers Constructivism Archimedean property Number system Axiom Linear continuum Real number Mathematics Abstract algebra Field theory
367	1 Real and Complex Numbers 1.1 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2002-10-01 16:57:18 Field theory Elementary mathematics Integer sequences Algebraic structures Binary operations Rational number Number system Multiplication Number Mathematics Abstract algebra Algebra
368	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
369	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
370	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

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