Senior contributing authors: Gilbert Strang and Edwin “Jed” Herman. OpenStax also credits additional contributing authors in its preface.
Publisher: OpenStax, Rice University.
Official text: openstax.org/books/calculus-volume-3/pages/1-introduction
The preface's citation information gives publication as 30 March 2016; the current website footer is a separate copyright notice.[ref]
Cited passages: Calculus Volume 3, Definitions (4.12)–(4.13), and the interpretation as ordinary derivatives of one-variable coordinate slices.
Online text: openstax.org/books/calculus-volume-3/pages/4-4-tangent-planes-and-linear-approximations
Cited passages: Calculus Volume 3, Tangent-plane equation (4.24), differentiability definition (4.26), and total differential (4.27).
Online text: openstax.org/books/calculus-volume-3/pages/4-6-directional-derivatives-and-the-gradient
Cited passages: Calculus Volume 3, Definition (4.36), the unit-direction convention, and Theorem 4.12 with the gradient formulation.
This section belongs to the textbook whose senior contributing authors are Gilbert Strang and Edwin “Jed” Herman; no separate section byline is verified.
Cited passages: §6.4, Theorem 6.12 and equation (6.13): circulation form and hypotheses; the following proof: rectangle edge calculation and the fundamental theorem of calculus.
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