Corrugate
发表于 2025-3-21 18:06:33
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Amendment
发表于 2025-3-21 21:25:19
Partial Derivatives and ApplicationsThis chapter collects problems on partial derivatives and their applications, the Jacobian and the Hessian matrices, differential operators, the chain rule, homogeneous functions and Euler’s identity, Taylor’s formula for functions of two variables, as well as extrema of functions of several variables.
irradicable
发表于 2025-3-22 02:45:07
Implicit FunctionsThe problems included in this chapter are about studying the existence and unicity of implicit functions of one or more variables defined by an equation or by a system of equations.
胆汁
发表于 2025-3-22 06:26:10
An Artistry of Quadratic Series: Two New Proofs of Sandham–Yeung SeriesIn this chapter we give two new proofs of the following remarkable series formula: where . denotes the .th harmonic number.
认为
发表于 2025-3-22 11:49:59
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祖先
发表于 2025-3-22 14:35:44
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commonsense
发表于 2025-3-22 19:34:13
Power SeriesFor the calculation of the preceding series, we use the power series . which can be obtained by multiplying the derivative of the geometric series by ...
Incommensurate
发表于 2025-3-23 01:07:08
Derivatives and ApplicationsSince . is strictly increasing we get that . is injective. We also have that . is surjective and it follows that . is bijective. Since .(2) = 2 we have that .. From .(.) = .. − 3., . ∈ ., we can write ..(.) − 3.(.) = ., . ∈ .. Taking successive derivatives, one has that 3..(.)..(.) − 3..(.) = 1, 6.(.)..(.) + 3..(.) ⋅ ..(.) − 3..(.) = 0, . ∈ ..
宪法没有
发表于 2025-3-23 05:20:22
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暗讽
发表于 2025-3-23 07:40:10
Alina Sîntămărian,Ovidiu FurduiBrings carefully selected, challenging problems in mathematical analysis.Explores the standard topics of mathematical analysis in ways not seen in regular textbooks.Offers original problems of mathema