TY - BOOK AU - McCallum, William G. AU - Cheung. C.K TI - Exploring multivariable calculus with maple to accompany multivariable calculus. SN - 0471137537 AV - QA303.C41 PY - 1996/// CY - New York: PB - John Wiley & Sons KW - Calculus N1 - Includes index; Contents: Introduction -- Plotting -- Three dimensional space -- Graphs of functions of three variables and level surfaces -- Vectors -- Partial derivatives -- Local linearity and the differential -- Directional derivatives and gradient vectors -- Second order partial derivatives and quadratic approximations -- Maxima, minima and saddle points -- Lagrange multipliers -- Double integral -- Triple integral -- Numerical integration: the monte carlo method -- Double integrals in polar coordinates -- Integration in cylindrical and spherical coordinates -- Change of variables in a double or triple integral -- Parametric curves and velocity vectors -- Parametric surfaces -- Vector fields and flow -- Line integrals -- Conservative vector fields and green's theorem -- Flux integrals -- The Divergence and the divergence theorem -- The Curl and stokes' theorem ER -