This course on three-dimensional affine geometry aims to provide a gentle introduction to understanding three-dimensional space through the use of parallel projection and affine space coordinates. By the end of the course, students will have gained intuition about 3D objects, learned to draw 3D objects in 2D, and understood the distinctions between points and vectors, as well as lines and planes. The teaching method involves lectures with visual aids and examples, along with suggested exercises for practice. This course is intended for learners interested in deepening their understanding of geometry and linear algebra concepts, particularly focusing on three-dimensional space and its mathematical representations.
Three Dimensional Affine Geometry - Wild Linear Algebra A - NJ Wildberger
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Overview
Syllabus
CONTENT SUMMARY: Introduction: @
pg 1: @04:15 Perspective projection; Parallel projection @;
pg 2: @09:42 example of parallel projection; suggested exercises @
pg 3: @ coordinate axes; right handed configuration;
pg 4: @ The nature of space; remark to base our understanding of space on arithmetic;
pg 5: @23:43 A point in space - a triple of numbers; a point rather than a vector @ ;
pg 6: @ A vector; remark on importance of distinction between points and vectors;
pg 7: @ points, lines, planes;
pg 8: @ relations between 2 lines in space; identical, parallel, intersecting, skew;
pg 9: @ determination of plane; relations between 2 planes; identical, parallel, intersecting;
pg 10: @ Affine space; Vector space; vector space has structure that an affine space has not;
pg 11: @ exercises 9.1:2 ;
pg 12: @ exercise 9.3 THANKS to EmptySpaceEnterprise
Taught by
Insights into Mathematics
