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Fast Start Integral 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, 191 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031024214.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 -- Integration, Area, and Initial Value Problems -- Parametric, Polar, and Vector Functions -- The Arithmetic, Geometry, and Calculus of Polynomials -- Methods of Integration I -- Methods of Integration II -- Author's Biography -- Index.
In: Springer Nature eBookSummary: This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.
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Preface -- Acknowledgments -- Integration, Area, and Initial Value Problems -- Parametric, Polar, and Vector Functions -- The Arithmetic, Geometry, and Calculus of Polynomials -- Methods of Integration I -- Methods of Integration II -- Author's Biography -- Index.

This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.

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