Ashlock, Daniel.

Fast Start Advanced Calculus [electronic resource] / by Daniel Ashlock. - 1st ed. 2019. - XIII, 179 p. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .

Preface -- Acknowledgments -- Advanced Derivatives -- Multivariate and Constrained Optimization -- Advanced Integration -- Sequences, Series, and Function Approximation -- Author's Biography -- Index .

This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.

9783031024221

10.1007/978-3-031-02422-1 doi


Mathematics.
Statistics .
Engineering mathematics.
Mathematics.
Statistics.
Engineering Mathematics.

QA1-939

510