Taking multi variable calc and my book covers this with little to no explanation on what these definitions actually mean. Thank you so much - A STRUGGLING STUDENT
Thanks for the upload. It's concise and useful information, however, having notations like dT/ds or dT/dt without an explicit statement of the function composition involved ( s(t) or its inverse t(s)) makes it hard to understand; as far as I can understand it hides many of the subtleties and complexity behind this "proof" which feels far from being complete.
This series is an absolute treasure
so many differential geometry books are painful to read; this was very clear, thank you.
Nice to see you covering this, I'm taking a course on elementary differential geometry next semester so this sort of thing is useful.
Taking multi variable calc and my book covers this with little to no explanation on what these definitions actually mean. Thank you so much - A STRUGGLING STUDENT
SUCH A LIFE SAVER!!!
Thanks for the upload. It's concise and useful information, however, having notations like dT/ds or dT/dt without an explicit statement of the function composition involved ( s(t) or its inverse t(s)) makes it hard to understand; as far as I can understand it hides many of the subtleties and complexity behind this "proof" which feels far from being complete.
Maybe a cleaner blackboard would help? Thanks 😊