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This book covers multivariable and vector calculus. It can be used as a textbook for a one-semester course or self-study. It includes worked-through exercises, with answers provided for many of the basic computational ones and hints for the more complex ones.. This second edition features new exercises, new sections on twist and binormal vectors for curves in space, linear approximations, and the Laplace and Poisson equations.
Foreword to the first edition
Foreword to the second edition
Notes to the reader
Introduction/background
Vector functions
Multivariable derivatives—differentiation in ℝn
Implications of multivariable derivatives
Multiple integrals-integration in ℝn
Vector fields and vector calculus
Bibliography
Index