Euclidean Spaces
We want to study multivariate functions (i.e., functions of many variables), continuous multivariate functions in particular. To define continuity, we need a measure of "closeness" between points. One measure of closeness is the Euclidean distance. The set R^n (n-dimensional space) with the Euclidean distance function is called a Euclidean space. This is the space where the functions of our interests live.
Lecture notes: https://bruneimathclub.blogspot.com/2...
Watch video Euclidean Spaces online without registration, duration hours minute second in high quality. This video was added by user Brunei Math Club 30 November 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 870 once and liked it 17 people.