Prof. Ghrist, I have always been curious about knowing the 'proof' of multivariable Taylor Series, can you please let me know how it is derived? Thank you
@@prof-g In fact, I made one video ua-cam.com/video/BfBaHtS68TE/v-deo.html for single variable which starts from the fundamental theorem of calculus itself. But I couldn't translate this concept beyond single variable. Any link for multivariable Taylor series' derivation would be kindly appreciated.
powerful visualization!
Prof. Ghrist, I have always been curious about knowing the 'proof' of multivariable Taylor Series, can you please let me know how it is derived?
Thank you
there are several ways to prove it; i think the most standard uses the fundamental theorem of integral calculus, iterated.
@@prof-g In fact, I made one video ua-cam.com/video/BfBaHtS68TE/v-deo.html for single variable which starts from the fundamental theorem of calculus itself. But I couldn't translate this concept beyond single variable. Any link for multivariable Taylor series' derivation would be kindly appreciated.