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Everything about Multivariable calculus
Calculus of functions of several variables
Multivariable calculus is the extension of calculus in one variable to functions of several variables: the differentiation and integration of functions involving multiple variables (multivariate), rather than just one. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multivariable calculusA 5-minute orientation
- Skim a recent paper: Design of virtual reality modules for multivariable calculus and an examination of student noticing within themInfluential work since 2022
- Pick up a classic book: R and MATLABThe most-reprinted book on the subject
- Read the landmark paper: Practical formulae for the calculus of multivariable adomian polynomialsCited 94 times
- Go sideways: Differentiable functionA closely related topic
- Go sideways: Function of several real variablesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Practical formulae for the calculus of multivariable adomian polynomials
Generalising calculus ideas from two dimensions to three: how multivariable calculus students think about domain and range
Multivariable calculus results in different countries
Generalized Conformable Mean Value Theorems with Applications to Multivariable Calculus
The learning and teaching of multivariable calculus: a DNR perspective
ϵ-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus
Utilizing Google Cardboard Virtual Reality for Visualization in Multivariable Calculus
Supporting Students’ Visualization of Multivariable Calculus Partial Derivatives via Virtual Reality
🆕 Influential since 2022
Design of virtual reality modules for multivariable calculus and an examination of student noticing within them
Mathematical connections promoted in multivariable calculus’ classes and in problems-solving about vectors, partial and directional derivatives, and applications
Implementing GeoGebra 3D Calculator With Augmented Reality in Multivariable Calculus Education
Multivariable Calculus Instructors’ Reports of Resource use
Advancing students’ achievements in multivariable calculus education through CSCL
📚 Books worth reading
- 📕R and MATLABDavid E. Hiebeler · 2015
Basic Analysis IIJames K. Peterson · 2020
Basic Analysis IIIJames K. Peterson · 2020
Combinatorial Inference in Geometric Data AnalysisBrigitte Le Roux, Solène Bienaise · 2019
Generation of multivariate hermite interpolating polynomialsSantiago Alves Tavares · 2005
Intelligent Numerical Methods IIGeorge A. Anastassiou, Ioannis K. Argyros · 2016
Multivariable and Vector CalculusDavid A. Santos, S. M. Musaev · 2014
Multivariable Calculus with ApplicationsPeter D. Lax, Maria Shea Terrell · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Differentiable function In mathematical analysis, a real or complex function of a single variable is differentiable if its derivative exists at each point in its domain. For real-value…
- Function of several real variables In mathematics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being…
- Implicit function theorem In multivariable calculus, the implicit function theorem is a theorem that provides sufficient conditions under which a planar curve specified by F(x,y)=0…
- Derivative (multivariable calculus) In mathematics, the derivative of a function at a point is the linear part of the best affine approximation to the function near the point. In one-variable…
- Jacobian matrix and determinant In vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order…
- Mean value theorem In calculus and real analysis, the mean value theorem (or Lagrange's mean value theorem) is a theorem about differentiable functions, roughly stating that…
- Function of a real variable In mathematics, a function of a real variable is a function whose domain is a subset of ℝ. Many real functions that are often encountered have their domain…
- Gradient theorem The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated…