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What does the substitution rule say, how do you prove it, how can you imagine it geometrically, how do you apply it and what does its multidimensional generalization, the transformation theorem, say? The BRAND NEW book: http://weitz.de/GDM/ The NEW book: http://weitz.de/PP/ Fundamental theorem of analysis: http://weitz.de/y/5PgCenw7Tf8?list=PL... Chain rule: http://weitz.de/y/LewDl7irl5Q?list=PL... More on Leibniz notation: • What is nonstandard analysis? What is... CORRECTION: http://weitz.de/corr/geJ-36mnZ1I In the playlist context: http://weitz.de/y/geJ-36mnZ1I?list=PL... Chronological list: http://weitz.de/haw-videos/ The slightly different math textbook: http://weitz.de/KMFI/ General notes: http://weitz.de/youtube.html