# Algebra

- 1
- Abstract Algebra
- Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory.

- 2
- 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.

- 3
- Center for Commutative Algebra
- A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.

- 4
- Cohomology of Modules over the Mod 2 Steenrod Algebra
- Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.

- 5
- Dave's Short Course on Complex Numbers
- An introduction with math and a little history intended for those having a familiarity with ordinary real numbers and algebra.

- 6
- Home Page of J. S. Milne
- Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic Number Theory,Modular Functions and Modular Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory.

- 7
- Homogeneous Transformation Matrices
- Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.

- 8
- Intro to Abstract Algebra
- Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.

- 10
- Octonions and Sedenions
- Enter the world of 8 and 16 dimensional hypercomplex numbers and discover that the laws that are taken for granted, but do not always hold true.

- 11
- 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.

- 12
- VectorLand
- An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty.

- 13
- Algebra - Mathematical Abstraction from Concrete Experience
- An explanation of how the Montessori student learns algebra while interacting with manipulatives, physical objects, represented by expressions incorporating the numerals and variables of mathematics.

- 14
- Algebra Online Learning Sites
- Algebra and math site links in a table to help you find various math subjects from algebra to calculus, algebra games to quizzes.

- 16
- IB Math Studies: Functions 1
- Site on Functions and Relations from the IB Mathematical Studies textbook.

- 17
- MathDork - Math, Algebra interactive tutorials
- Unique learning experience using animation to make math more intuitive and fun. Animated images, sounds create a visually appealing experience that draws the student into the material.

- 18
- Mathematical Induction
- Explains the process of making and proving conjectures about the behavior of equations that a repetitive trait, such as summation formulas. Includes the rules for a valid induction and some examples.