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Algebra


Algebra is a branch of mathematics that uses letters or other symbols to represent unknown quantities, called variables. These variables and number values are combined to form equations. The rules of these equations follow the exact same rules as arithmetic, such as the commutative and associative laws for addition and multiplication. Functions are a special type of equation, where one variable can be uniquely defined in terms of the other. Another part of this topic is graphing of equations and functions using the Cartesian coordinate graph or polar coordinates.Also, covered in this topic is set theory or what constitutes a grouping of numbers.




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Abstract Algebra Online - Contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. Intended for undergraduate students taking an abstract algebra class at the junior/senior level, as well as for students taking their first graduate algebra course.
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Intro to Abstract Algebra - Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
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Octonions and Sedenions - Enter the world of 8 and 16 dimensional hypercomplex numbers and discover that the laws that we take as granted do not always hold.
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IDA: Algebra Interactive - An HTML-based book by Arjeh M. Cohen, Hans Cuypers and Hans Sterk. It focuses on an algorithmic approach to algebraic structures. Many of these tools and examples use the computer algebra package GAP. Site has samples and errata.
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Algebraic Areas of Mathematics - Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.
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Catalogue of Lattices - A catalogue of different types with applications to packing spheres by Neil Sloane and Gabriele Nebe.
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Abstract Algebra - Lecture notes by David Wilkins at Trinity College, Dublin.
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Macdonald Polynomials and the n! Conjecture - Manuscripts and Publications.
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Robbins Algebras Are Boolean - A web text by William McCune describing the solution of this problem by a theorem-proving program, with input files and the proofs.
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Center for Commutative Algebra - A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
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Algebra Links - From Spartanburg County School District Two.
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Complex Numbers - Dave's Short Course on Complex Numbers (David Joyce).
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Homogeneous Transformation Matrices - Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
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Algebra Universalis List of Researchers - Compiled by G. Gratzer.
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Lecture Notes in Algebra and Number Theory - Andrew Baker, University of Glasgow.
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Univalg Mailing List - Mailing list for use by the Universal Algebra community. Universal Algebra is a technical branch of mathematics related to algebra and model theory.
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Cohomology of Modules over the Mod 2 Steenrod Algebra - Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.
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Catalogue of Algebraic Systems. - Summary of and links to online materials concerning algebraic systems: semigroups, groups, rings, algebras, groupoids, and categories.
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Math Forum: Algebra Problem of the Week - View this week's algebra problem or those of previous weeks.
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FDLIST - Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software.
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Abstract and Linear Algebra - A forum for students on abstract algebra and linear algebra.
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Macdonald Polynomial Page - Includes information about the Ribbon Rule, as well as link about symmetric functions and representation theory.
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Course Notes by Jim Milne - Algebraic number theory, Class field theory, Algebraic Geometry, Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology. TeX, DVI, PS and PDF.
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What is a Jordan-like Algebra? - Includes generalizations, and algebraic geometry. Notes and links by Tony Smith.
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All About Circuits - Boolean Algebra - An introduction to boolean algebra from the perspective of electronic engineering.
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A Web Resource in Mathematics - Tailored help for students in Algebra.
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Groupoids - Notes by Ronald Brown.
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Groupoid Home Page - Maintained by Birant Ramazan. Address book, open problems, meetings, pictures, other resources.
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An Introduction to the Algebraic Specification of Abstract Data Types - Jean Baillie, Department of Computer Science, University of Hertfordshire.
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Articles in this category:

  • Algebra - ...
  • Algebra Help Software - Need help making sense of algebra? Have algebra lectures in your classroom left you scratching your head and wondering: “How on earth did they get that answer”? Do not despair, because help is at han...
  • Pre Algebra - Pre algebra is the subject you need to understand before moving on to learn algebra. In other terms, you can say that pre algebra is the perfect platform from where you can move on to algebra. Howeve...
  • Pre Algebra - Pre algebra is the subject you need to understand before moving on to learn algebra. In other terms, you can say that pre algebra is the perfect platform from where you can move on to algebra. However, we will talk about pre algebra as a separate entity h
  • Algebra Software - Algebra Software Put an end to confusion in algebra with the revolutionary software AlgebraSolver that helps you solve all problems while making sure you understand each step while doing so. With th...
  • Pre-Algebra Help - ...
  • Basic Algebra Helper - Most high school students have problems with algebra when they first encounter it. Why is that? Well, think back to your own school days! Firstly, you are introduced to several new mathematical concepts, which take a little time to absorb. Then, there is ...
  • High School Algebra Finally Pays Off: The Body Fat Equation - ...


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