Why bother with dx's and dy's? As Bishop George Berkeley (The Analyst) says, "And what are these Fluxions? The Velocities of evanescent Increments? And what are these same evanescent Increments? They are neither finite Quantities nor Quantities infinitely small, nor yet nothing. May we not call them the Ghosts of departed Quantities?" I'll give $10 CAD to the student who can prove me wrong.
Students should feel free to use this blog as a vehicle for exchange of ideas and concepts. If some topics in Calculus are particularly challenging then try browsing some of the "Reference Websites" included in this blog. There you will find some neat tutorials for concepts we have covered in class and some great visualization tools as well. Ofcourse, Calculus is not without its history and so there are many links dedicated to the history of calculus and the history of math in general.
1 comment:
Why bother with dx's and dy's? As Bishop George Berkeley (The Analyst) says, "And what are these Fluxions? The Velocities of evanescent Increments? And what are these same evanescent Increments? They are neither finite Quantities nor Quantities infinitely small, nor yet nothing. May we not call them the Ghosts of departed Quantities?" I'll give $10 CAD to the student who can prove me wrong.
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