http://bmw.byuimath.com/aa/ 2026-05-14T06:20:59+00:00 http://bmw.byuimath.com/aa/ http://bmw.byuimath.com/aa/lib/tpl/dokuwiki/images/favicon.ico text/html 2013-08-16T00:15:16+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=dana_s_introduction&rev=1376626516&do=diff Introduction \chapter{Introduction} \begin{section}{What is Abstract Algebra?} Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. This course is an introduction to abstract algebra. We will spend most of our time studying groups. Group theory is the study of symmetry, and is one of the most beautiful areas in all of mathematics. It arises in puzzles, visual arts, music, nature, the physica… text/html 2013-08-20T16:46:42+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=definitions_in_mathematics&rev=1377031602&do=diff Definitions in mathematics It is difficult to overstate the importance of definitions in mathematics. Definitions play a different role in mathematics than they do in everyday life. Suppose you give your friend a piece of paper containing the definition of the rarely-used word text/html 2016-04-19T20:36:00+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=elements_of_style_for_proofs&rev=1461112560&do=diff Elements of style for proofs Years of elementary school math taught us incorrectly that the answer to a math problem is just a single number, “the right answer.” It is time to unlearn those lessons; those days are over. From here on out, mathematics is about discovering proofs and writing them clearly and compellingly. text/html 2013-08-28T18:37:06+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=fancy_mathematical_terms&rev=1377729426&do=diff Fancy mathematical terms FIXME \chapter{Fancy mathematical terms} \label{appendix:fancy_math_terms} Here are some important mathematical terms that you will encounter in this course and throughout your mathematical career. \begin{enumerate} \item \textbf{Definition}---a precise and unambiguous description of the meaning of a mathematical term. It characterizes the meaning of a word by giving all the properties and only those properties that must be true. \item \textbf{Theorem}---a mathema… text/html 2013-08-14T10:54:16+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=index&rev=1376492056&do=diff I'm not sure yet what we'll use on this page, but I want to use it currently to test the pagequery extension. Here's a list of pages, sorted by which was most recently edited. text/html 2013-08-21T10:17:08+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=josh_s_outline&rev=1377094628&do=diff Josh's outline Introduction The goal is to produce a set of IBL notes that works from the definition of a group to Sylow's Theorem. The primary point of view will be that of permutation groups with the abstract definition of a group being preceded by exploring concrete examples of automorphism groups. ---------- text/html 2013-08-16T18:00:55+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=list_of_name_spaces&rev=1376690455&do=diff Here's a list of all the name spaces in the wiki (together with all the pages). My thoughts are that in a LaTeX file, I would use \begin{namespace} \end{namespace} to wrap around the content stored in this name space. So these would be the theorem environments. text/html 2013-08-16T11:12:39+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=master_template&rev=1376665959&do=diff @!!PAGE@ @NS@ Type the @NS@. ---------- Remarks * Make remarks with a list. ---------- $\LaTeX$ version %%%%%%%%%% % DEPENDENCIES % RequiredPackages: \usepackage{tikz} % RequiredMacros: \DeclareMathOperator{\aut}{Aut} %%%%%%%%%% \begin{@NS@} Type the @NS@ code here. \end{@NS@} text/html 2013-08-14T12:03:17+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=needs_review&rev=1376496197&do=diff Needs Review This page lists all the pages in the wiki that have the tag “needsreview” on them. feel free to make changes, add comments, create an “Alternate Definition”, etc., and then when you have reviewed the page, add rben, rdana, or rjosh to the tags at the bottom of the page. text/html 2013-08-16T14:04:45+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=possible_outlines&rev=1376676285&do=diff *[[user:bmwoodruff:Ben's Outline]] *[[user:dcernst:Dana's Outline]] *[[Josh's Outline]] text/html 2013-08-14T11:55:27+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=sidebar&rev=1376495727&do=diff * [[Start|Home]] * [[Possible Outlines]] * [[playground:Playground]] * [[Needs Review]] * [[sidebar|Edit The Sidebar]] text/html 2013-08-15T14:24:58+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=start&rev=1376591098&do=diff ====== Welcome to the AAIBL wiki====== ==== Important links ==== *[[Possible Outlines]] *[[Index]] *[[List of Name Spaces]] *[[Dana's Introduction]] *[[Elements of style for proofs]] *[[Fancy mathematical terms]] *[[Definitions in mathematics]] ---- ==== Main content ==== === Outlines === {{pagequery>outline;sort=name;filter=!title:possible*;border=both;proper=both;showcount;bullet=square}} === Definitions, problems, and theorems === ~~NOCACHE~~ {{pagequery>@:definition @:th… text/html 2013-08-09T18:01:47+00:00 Anonymous (anonymous@undisclosed.example.com) http://bmw.byuimath.com/aa/doku.php?id=wish_list&rev=1376085707&do=diff * If you would like someone to add a specific problem, please put it here. * I installed the include plugin so that you can include other pages in a wiki page. This should allow us to create problem sequences by just including pages. * You can create a template for any namespace by creating a template page in that namespace. For example, the page