- #1
gangsta316
- 30
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What's the best book for multivariable calculus? I'm a second year undergraduate student in Mathematics. Here is the content:
Functions from Rn to Rm: differentiation, contractions, Newton’s method, inverse function
theorem, implicit function theorem, higher derivatives.
Optimisation: extrema, constraints, Lagrange multipliers.
Calculus of variations: Euler-Lagrange, simple applications.
Integrals in Rn: curves, line integrals, Green’s theorem, transformation of integrals.
Vector calculus: vector fields, grad, div, curl, surface integrals, divergence theorem, Stokes’s
theorem, curvilinear coordinates.
Partial differential equations(simple wave, Laplace, heat).
Cartesian tensors: simple properties and notation, invariance.
At the moment I am having some difficulty with the integration (line integrals, surface integrals, divergence theorem, Green's theorem etc.).
Thanks for any help.
Functions from Rn to Rm: differentiation, contractions, Newton’s method, inverse function
theorem, implicit function theorem, higher derivatives.
Optimisation: extrema, constraints, Lagrange multipliers.
Calculus of variations: Euler-Lagrange, simple applications.
Integrals in Rn: curves, line integrals, Green’s theorem, transformation of integrals.
Vector calculus: vector fields, grad, div, curl, surface integrals, divergence theorem, Stokes’s
theorem, curvilinear coordinates.
Partial differential equations(simple wave, Laplace, heat).
Cartesian tensors: simple properties and notation, invariance.
At the moment I am having some difficulty with the integration (line integrals, surface integrals, divergence theorem, Green's theorem etc.).
Thanks for any help.