Derivatives and Integrals of Multivariable Functions (eBook, PDF)
Alberto Guzman
eBook, PDF

Derivatives and Integrals of Multivariable Functions (eBook, PDF)

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This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author's previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stok...

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