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Tag Archives: multivariate
Basic Analysis: Limits and Continuity (3)
Let’s consider multivariate functions where . To that end, we need the Euclidean distance function on Rn. If x = (x1, x2, …, xn) is in Rn, we define: Note that x = 0 if and only if x is the zero vector 0. Now we are ready … Continue reading
Posted in Notes
Tagged advanced, analysis, continuity, limits, multivariate, open balls, open subsets, topology
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Thinking Infinitesimally – Multivariate Calculus (II)
Chain Rule for Multivariate Calculus We continue our discussion of multivariate calculus. The first item here is the analogue of Chain Rule for the multivariate case. Suppose we have parameters f, u, v, x, y, z. Suppose {u, v} are independent parameters (in particular, … Continue reading
Thinking Infinitesimally – Multivariate Calculus (I)
[ Background required: some understanding of singlevariable calculus, including differentiation and integration. ] The object of this series of articles is to provide a rather different pointofview to multivariate calculus, compared to the conventional approach in calculus texts. The typical … Continue reading
Posted in Notes
Tagged calculus, differentiation, intermediate, multivariate, partial differentiation
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