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2. Difference quotient - Wikipedia

   en.wikipedia.org/wiki/Difference_quotient

   The primary vehicle of calculus and other higher mathematics is the function. Its "input value" is its argument , usually a point ("P") expressible on a graph. The difference between two points, themselves, is known as their Delta (Δ P ), as is the difference in their function result, the particular notation being determined by the direction ...

3. Michael Spivak - Wikipedia

   en.wikipedia.org/wiki/Michael_Spivak

   Spivak acknowledged in the preface of the second edition that the work is arguably an introduction to mathematical analysis rather than a calculus textbook. [13] Another of his well-known textbooks is Calculus on Manifolds, [14] a concise (146 pages) but rigorous and modern treatment of multivariable calculus accessible to advanced undergraduates.

4. For Dummies - Wikipedia

   en.wikipedia.org/wiki/For_Dummies

   For Dummies is an extensive series of instructional reference books which are intended to present non-intimidating guides for readers new to the various topics covered. The series has been a worldwide success with editions in numerous languages.

5. Calculus Made Easy - Wikipedia

   en.wikipedia.org/wiki/Calculus_Made_Easy

   Also available as the (London: MacMillan and Co., Limited, 2nd Ed., 1914) printing, which isn't published under Thompson's name, but instead has the byline of "by F.R.S." (i.e., Fellow of the Royal Society). Calculus Made Easy at Project Gutenberg (Re-typeset in LaTeX) Calculus Made Easy public domain audiobook at LibriVox; Calculus Made Easy ...

6. Chain rule - Wikipedia

   en.wikipedia.org/wiki/Chain_rule

   In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g.More precisely, if = is the function such that () = (()) for every x, then the chain rule is, in Lagrange's notation, ′ = ′ (()) ′ (). or, equivalently, ′ = ′ = (′) ′.

7. Calculus of variations - Wikipedia

   en.wikipedia.org/wiki/Calculus_of_Variations

   Calculus of variations is concerned with variations of functionals, which are small changes in the functional's value due to small changes in the function that is its argument. The first variation [l] is defined as the linear part of the change in the functional, and the second variation [m] is defined as the quadratic part. [22]