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Fast Start Advanced Calculus [electronic resource] / by Daniel Ashlock.

By: Ashlock, Daniel [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Mathematics & Statistics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XIII, 179 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031024221.Subject(s): Mathematics | Statistics  | Engineering mathematics | Mathematics | Statistics | Engineering MathematicsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 510 Online resources: Click here to access online
Contents:
Preface -- Acknowledgments -- Advanced Derivatives -- Multivariate and Constrained Optimization -- Advanced Integration -- Sequences, Series, and Function Approximation -- Author's Biography -- Index .
In: Springer Nature eBookSummary: 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.
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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.

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