 Algebraic Geometry 
Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to algebraic geometry, which combines the algebraic with the geometric for the benefit of both. Thus the recent proof of "Fermat's Last Theorem"  ostensibly a statement in number theory  was proved
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 The Algebraic Geometry Notebooks  Aksel Sogstad
For nonexperts. Contents: What is algebraic geometry?; What can algebraic geometry be used for?; Classification of curves in the Weierstrass familiy; Bezout's Theorem; Varieties, orbits and orbitspaces; Automatic theorem proving using Singular.
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 Algebraic Geometry  Peter Stiller; Dept. of Mathematics & Computer Science, Texas A&M Univ.
This page answers the question, "What is Algebraic Geometry?"  a subject with historical roots in analytic geometry, concerned with the geometry of the solutions of a system of polynomial equations. With a link to a bibliography of related publications.
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 The Algebraic Method  R. H. Logan
An explanation of the algebraic method, involving an algebraic relation between two or more variables with one variable expressed as a function of one of the others. Includes Algebraic Manipulation (Transformation of Variables); Continuity Principle of
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 Algebraic Number Theory and Elliptic Curves  Ghitza, Osserman; Massachusetts Institute of Technology
A semesterlong seminar giving a rapid introduction to algebraic number theory and elliptic curves. Topics: Dedekind domains, rings of integers, schemetheoretic curves, finite morphisms thereof, splitting and ramification, the Tchebotarov density theorem
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 Algebraic Number Theory Archives  Boston, Grayson
Preprints about algebraic number theory and arithmetic geometry are accepted in electronic form for storage until publication. There are instructions for authors who wish to submit preprints to the archives and for for joining the mailing list (members
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 Algebraic Number Theory: Global Fields  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to algebraic number theory. Subcategories include rings of algebraic integers, quadratic extensions, Iwasawa theory, Galois theory, LanglandsWeil conjectures, density theorems, Adele rings and groups,
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 Algebraic Reasoning  MATHCOUNTS
About algebraic reasoning  the ability to think logically about unknown quantities and the relations between them  and how to develop it, with examples.
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 Algebraic Structures  Alex LópezOrtiz and the Sci.Math FAQ Team
Brief explanations of the following concepts: N is a monoid; Z is an integral domain; Q is a field; in the field R the order is complete; the field C is algebraically complete
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 Algebraic Systems  Christer Blomqvist
Definitions, descriptions, and the basics of Abstract Algebra: groups, rings, fields and the like.
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 Algebraic Topology  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to algebraic topology, the study of algebraic objects attached to topological spaces. The algebraic
invariants reflect some of the topological structure of the spaces. The use of these algebraic tools
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 Algebrainiac  Jessica Bogie
Blog by a Chicagoland middle school geometry and history teacher with more than a decade of experience teaching algebra and prealgebra. Posts, which date back to August, 2012, have included "#MSSunFun: Teaching Students How to Study for Assessments,"
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 Algebra in Simplest Terms  Annenberg Media
In this video series for college and high school classrooms and adult learners, host Sol Garfunkel explains how algebra is used for solving realworld problems. Free sign up is required for firsttime users of the online videos. Materials (videos and
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 AlgebraLAB: Making Math and Science Connections  Mainland High School (Daytona Beach, FL), Georgia Southern University
Created by mathematics and science teachers, AlgebraLAB is designed to focus on topics and skills from high school mathematics that students must be able to draw upon in their introductory college science courses. AlgebraLAB focuses on lessons and practice
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 Algebra linear functions in C.  xhunga
MSDOS / C programming language. Basic functions (use fractions): addm, subm, multm, powm, smultm, transpose, trace, det, minor, cofactor, mcofactor, adjoint, inverse, gauss, gaussjordan. Elementary row operations: swaprow, multrow, addrow. Useful Functions:
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 Algebra Master  AlgebraPoint
Commercial software that solves algebra problems and simplifies algebraic expressions stepbystep, with explanations. Demonstration available online.
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 ALGEBRA  Mathematical abstraction from concrete experience  College of Early Learning
How a Montessori student learns algebra while interacting with manipulatives represented by expressions incorporating numerals and variables. Contents include: The proper interpretation of a numeral by answering three questions: How many objects? What
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 Algebra (MathPages)  Kevin Brown
More than 50 "informal notes" by Kevin Brown on algebra. Kummer's Objection; irreducibility criteria, multiple linear regression, string algebra, characteristic polynomial of a matrix, iterated means, sums of powers, polynomials from Pascal's Triangle,
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 AlgebraNet
Software for explanation and demonstration of elementary algebra techniques (reducing, simpifying, factoring, equations).Testing facilities. Free demo; fee for full version. In English or Dutch.
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 Algebra, Philosophy, and Fun  Ivars Peterson (MathTrek)
About the book Philosophy and Fun of Algebra, written by Mary Everest Boole (18321916) and published in 1909. "Boole's gentle, conversational introduction to algebra is meant for children. It also serves as a window on
math educationas it was perceived
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 Algebra Postulates  Jaime Garmendia III; Interactive Mathematics Online (IMO)
Things you can do with equations and inequalities  the basic postulates of equality, inequality, and operations. Example: Postulates of Operation: Commutative Property of Addition: a+b=b+a; Commutative Property of Multiplication: a*b=b*a; Distributive
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 Algebra PowerPoint Lessons  James Wenk
A collection of PowerPoint lessons written by a teacher and currently used in his classroom. The lessons complement McDougal Littell's Algebra 1 Concepts and Skills by Larson, Boswell, Kanold, and Stiff. Preview the slides without animation. Purchase
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 Algebra PowerPoint Lessons  James Wenk
PowerPoint lessons to purchase, designed to help teachers integrate technology and improve student performance and interest in algebra. Plans meet state standards and can be modified to suit teachers' needs.
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 Algebra Problem of the Week  Math Forum
Algebra problems from a variety of sources, including textbooks, math contests, NCTM books, and puzzle books, and reallife situations, designed to reflect different levels of difficulty. The goal is to challenge students with nonroutine problems and
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 The Algebra Project  North Central Regional Educational Laboratory (NCREL)
An interactive curriculum designed to help innercity and rural students better understand mathematical concepts. Developed by Bob Moses, a mathematician and civil rights leader, the curriculum calls for students to follow a fivestep process in which
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 Algebra Project: Organizing in the Spirit of Ella  Civic Practices Network (CPN)
This mathscience program in Cambridge, MA has organized local communities to help make algebra available to all 7th and 8th grade students, regardless of their prior level of skill development or academic achievement. This paper examines how the developers
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 The Algebra Project  The Algebra Project, Inc.
The Algebra Project seeks to impact the struggle for citizenship and equality by assisting students in inner city and rural areas to achieve mathematics literacy. Read about the project's teacher training and support programs such as MUSIC (MultiUser
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 Algebra Reference Sheets (S.M.A.R.T.)  Math Share Shop
Combining signed numbers; Polynomials and fractional equations; Factoring trinomials; Quadratic equations; Graphing linear equations. By students at Theodore Roosevelt H.S., Bronx, & Edward R. Murrow High School, Brooklyn.
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 Algebra Research Group of the LUC  Limburgs Universitair Centrum, Diepenbeek, Belgium
Members and publications of the algebra group at the LUC (the Limburgs Universitair Centrum, a university in Diepenbeek, Belgium). Major areas of research include: Noncommutative geometry; Invariant theory; Group algebras and Schur algebras; Lie algebra;
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 Algebra Review in Ten Lessons  D. P. Story; Mathematics & Computer Science, University of Akron
A tutorial written in TeX and converted to Adobe Portable Document Format (PDF). Features include verbose discussion of topics, typeset quality mathematics, user interactivity in the form of multiple choice quizzes, inline examples and exercises with
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 Algebra (Seeing is Believing)  De Silva, D'Andreti; ThinkQuest 1997
An algebra tutorial, comprising: mathematical numbers; real number system; numerical representations in algebra (algebraic expressions); algebraic techniques (factoring); quadratic equations and inequalities; graphing (coordinate systems, conic sections,
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 Algebra Software  Algebranet
Windows software that enables students to solve actual problems from algebra textbooks and not just a limited set of computer generated examples. Features, testimonials, and purchasing information available on the site.
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 Algebra (S.O.S. Mathematics)  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and precollege algebra. Sections include: Fractions; Units of Conversion; Complex Numbers; Quadratic Equations; Factorization
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 The Algebra Survival Kit  Josh Rappaport
A kit that includes a 520page handbook covering the main content areas of Algebra 1 in accordance with the NCTM Standards. Sections are tabbed, and pages are written in flash card format with questions on the front and answers on the back. Also, a poster,
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 Algebra Through Problem Solving  Hillman, Alexanderson
A nontraditional Algebra text (high school and early college levels) placed on the Web by the Science Education Team at Los Alamos National Laboratory. Browse it on the Web or download a PDF version. Chapter headings include: The Pascal Triangle; The
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 Algebrator
Key in mathematical expressions for this software to interpret and simplify or solve, one step at a time, with explanations along the way. Algebrator simplifies algebraic expressions; factors and expands expressions; finds LCM and GCF; rationalizes complex
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 Algebra Tutor  Softmath
Software designed to walk students through their own problems stepbystep. Moneyback guarantee.
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 Algebra  University of Wales, Bangor
A paper describing research interests in algebra at Bangor, which have to a large extent been motivated by problems in algebraic topology and homological algebra. The recent spate of new and exciting concepts (crossed modules, crossed ncubes, nonabelian
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 Algebra Vision  Sean Berry
Algebra software that lets you visually interact with algebraic expressions. Watch demos on the site, or sign up for a free trial. Individual and schoollevel licenses available.
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 Algebra Visualization Tools  Dennis Sullivan, Founder
Slide the controllers of these Java tools to change the parameters of these five types of equations  and see their effects on these graphs instantly: linear equations, absolute value, quadratic equations, vertex form, and rational equations. The applets
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 Algebra Worksheets  Ashley Nieves
Download free PDFs of worksheets for prealgebra, elementary algebra, algebra 1, algebra 2, intermediate algebra, and algebraic word problems.
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 Alglib  Sergey Bochkanov, Vladimir Bystritsky
Numerical analysis library in C#, C++, Delphi, Visual Basic, Zonnon. Covers differential equations, systems of linear equations, matrix and vector operations, eigenvalues and eigenvectors, numerical integration, univariate and multivariate optimization,
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 Algorithmia  Kenny Daniel and Diego Oppenheimer, CoFounders
An "open marketplace for algorithms." Built by algorithm developers for algorithm developers, Algorithmia lets users create, share, and build on other algorithms, then instantly make them available as APIs for sale.
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 Algorithmic Art  Fractal Art Gallery  Manfred W. Rupp
Unusual fractals with nonstandard algorithms  geometric patterns made using FRACTINT that rely on mathematical models.
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 Algorithmic Image Gallery  Giuseppe Zito
Each picture is the door of a room in the gallery, composed by taking a pixel for each picture in the room. All the pictures in a room are produced by the same algorithm, changing only one or more parameters. Click inside the door and you will get the
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 Algorithmic Vectorial Geometry  Jean Paul Jurzak
In French. The author writes: "This work studies vectorial geometry under a new aspect which allow to solve most of the exercises of vectorial geometry without the traditional support of a drawing. For students, teachers, and informaticians."
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 Algorithms and Ice Cream For All (MegaMath)  Nancy Casey; Los Alamos National Laboratory
Solve a city planning problem using mathematical graphs and algorithms. Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problemsolving situations and communicate the
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 Algorithms Courses on the WWW  Kirk Pruhs; University of Pittsburgh
An extensive list of links to undergraduate and introductory graduate algorithms courses; advanced or specialized courses; and other related resources on the Web.
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 Algorithms for Modular Elliptic Curves  John Cremona
View parts of the second edition of the book, with introduction, tables and software. Download the errata list for the second edition, available as a dvi file or a postscript file.
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 Algorithms  National University of Ireland
Web interfaces that provide steps for moving the disks of the Towers of Hanoi, calculate the Euclidean greatest common divisor (GCD) algorithm using recursion, and compute maximum profit from the knapsack problem using dynamic programming. Also, generate
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