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Algebraic numbers
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91	USA Mathematical Talent Search Round 3 Solutions Year 20 — Academic Year 2008–2009 www.usamts.org[removed]Let S be the set of all 10-digit numbers (which by definition may not begin with 0) in which each digit 0 thro Add to Reading List Source URL: www.usamts.org Language: English - Date: 2010-09-20 13:54:57 Number Diophantine equations Algebraic number theory Integer factorization algorithms Mathematics Integer sequences Prime number
92	Université de Bordeaux Faculté de Mathématiques ALGANT Master Mémoire de Master 2 Algebraic Values of Add to Reading List Source URL: www.cimat.mx Language: English - Date: 2014-09-08 11:39:01 Transcendental numbers Diophantine approximation Transcendental function Algebraic independence Gelfond–Schneider theorem Field extension Vector space Schneider–Lang theorem Transcendence theory Algebra Mathematics Abstract algebra
93	Lecture 3 Limits In the previous lecture, we used the least upper bound property of the real numbers to define the basic arithmetic operations of addition and multiplication. In effect, this involved finding sequences wh Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-10-14 09:59:36 Real algebraic geometry Real number Multiplication Triangle inequality Least-upper-bound property Limit superior and limit inferior Series Mathematics Mathematical analysis Real analysis
94	Constructing a covering set for numbers 2k + p While optimizing a program for calculating small members of Sloane’s A094076, I noticed that the order of 2 mod 21 +1 = 3, 22 +1 = 5, 24 +1 = 17, 28 + 1 = 257, 216 + 1 = 6 Add to Reading List Source URL: math.crg4.com Language: English - Date: 2008-02-08 20:22:41 Modular arithmetic Quadratic residue Integer sequences Prime number Algebraic number theory Quartic reciprocity Mathematics Number theory Abstract algebra
95	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
96	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
97	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
98	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
99	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
100	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