Advanced CalculusPower series. Partial differentiation. Implicit functions. Applications to geometry. The definite integral. The gamma and beta functions. Line, surface, and space integrals. Vector notation. Differential equations of the first order. Differential equations of higher order. Bessel functions. Partial differential equations. Calculus of variations. Functions of a complex variable. Elliptic integrals. |
Other editions - View all
Common terms and phrases
a₁ a²ƒ angle axis Bessel equation c₁ c₂ circle coefficients complex numbers consider continuous function convergent series cosh curve d²x d²y d2y dx2 d2y dy defined definition derivative determined differential equation direction dt dt dx dx dx dy dz dx² dy dx dy² elliptic integral example expansion Find follows formula function given Hence independent variable infinitesimal interval Jn(x k²x² Laplace equation line integral obtained orthogonal trajectories path perpendicular plane polar coördinates power series prove radius region of convergence Rolle's theorem satisfy Show sin² singular solution sinh solution solved straight line substitute surface tangent theorem tion vector whence y₁ zero дг ди др ду дх дф дх ду дъ