This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. Contents: Euclidean Three Space; Vectors--Algebra and Geometry; Vector Functions; Derivatives; More Dimensions; Linear Functions and Matrices; Continuity, Derivatives, and All That; f:Rn-› R; The Taylor Polynomial; Sequences, Series, and All That; Taylor Series; Integration; More Integration; One Dimension Again; Surfaces Revisited;
Integrating Vector Functions; Gauss and Green; Stokes; Some Physics. |