Functions of several real variables

[3364/78%]

Subtopics

Multiple integrals[1232/83%]
Multiple Riemann integral[1091/76%]
Vector calculus integral theorems[594/79%]
Implicit function theorem[551/80%]
Line (curvilinear) integrals[493/86%]
Change of variables in multiple integrals[467/85%]
Surface integrals[420/85%]
Field theory (scalar and vector fields)[364/83%]
Newtonian and logarithmic potentials; attraction of bodies[259/82%]
Jordan measure[118/13%]
Higher-order partial derivatives and differentials of several variables[102/99%]
Method of Lagrange multipliers[98/97%]
Local extrema of functions of several variables[90/91%]
Verifying that a function solves a PDE[76/45%]
Change of variables in differential expressions[72/90%]
Partial derivatives[71/87%]
Continuity of functions and mappings of several variables[57/70%]
Differentiability and the total differential[52/88%]
Taylor formula and series in several variables[51/90%]
Singular points of plane curves[50/98%]
Calculus of matrix-valued functions[48/81%]
Gateaux and Frechet derivatives[46/20%]
Derivative of a mapping and the Jacobian[39/72%]
Level sets and range of functions of several variables[33/91%]
Limits of functions of several variables[27/78%]
Volume of the n-dimensional unit ball[27/78%]
Setting up and recovering functions of several variables[26/100%]
Global extrema on closed domains[24/92%]
Domains of Functions of Several Variables[23/100%]
Inverse function theorem[22/68%]
Euler's theorem on homogeneous functions[16/44%]
Images of sets under explicit mappings of R^n[16/88%]
Iterated and repeated limits of several-variable functions[14/57%]
Homogeneous functions[11/55%]
Equality of mixed partial derivatives (Schwarz theorem)[10/50%]
Hadamard's Lemma for Smooth Functions[5/80%]
Legendre transformation[5/40%]
Minimax and Maximin of Functions of Two Variables[4/100%]
Continuous partitions of unity[3/0%]
Sard's theorem and its sharpness[3/100%]
Superpositions of Functions of Fewer Variables (Hilbert's 13th Problem)[2/100%]