Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ - Original copyright The Open University
<p>In this course we use the geometric concept of symmetry to introduce some of the basic ideas of group theory, including <i>group tables</i>, and the four properties, or <i>axioms</i>, that define a group.</p><p>Please note that this course is presented through a series of PDF documents.</p><p>This OpenLearn course is an adapted extract from the Open Unviersity course <span class="oucontent-linkwithtip"><a class="oucontent-hyperlink" href="http://www3.open.ac.uk/study/undergraduate/course/m208.htm?LKCAMPAIGN=ebook_&MEDIA=ou">M208: <i>Pure Mathematics</i></a></span></p>
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.<link rel="canonical" href="http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/symmetry/content-section-0" /> First published on Mon, 18 Apr 2011 as <a href="http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/symmetry/content-section-0">Symmetry</a>. To find out more visit The Open University's <a href="http://www.open.edu/openlearn/ole-home-page">Openlearn</a> website. Creative-Commons 2011
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This free course, Symmetry, explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.<link rel="canonical" href="http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/symmetry/content-section-0" /> First published on Mon, 18 Apr 2011 as <a href="http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/symmetry/content-section-0">Symmetry</a>. To find out more visit The Open University's <a href="http://www.open.edu/openlearn/ole-home-page">Openlearn</a> website. Creative-Commons 2011
<p>In this unit we use the geometric concept of symmetry to introduce some of the basic ideas of group theory, including <i>group tables</i>, and the four properties, or <i>axioms</i>, that define a group.</p><p>Please note that this unit is presented through a series of PDF documents.</p><p>This unit is an adapted extract from the Open Unviersity course<span class="oucontent-linkwithtip"><a class="oucontent-hyperlink" href="http://www3.open.ac.uk/study/undergraduate/course/m208.htm"> <i>Pure mathematics</i>
(M208)</a></span></p>