Fast Start Advanced Calculus (Synthesis Lectures on Mathematics and Statistics)

195 Pages·2019·1.207 MB·English

by  Daniel Ashlock, Steven G. Krantz (editor)

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Series ISSN: 1938-1743 A
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Series Editor: Steven G. Krantz, Washington University in St. Louis
Fast Start
Fast Start Advanced Calculus

Daniel Ashlock, University of Guelph
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This book continues the material in two early Fast Start calculus volumes to include multivariate A Advanced
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calculus, sequences and series, and a variety of additional applications. These include partial
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derivatives and the optimization techniques that arise from them, including Lagrange T
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multipliers. Volumes of rotation, arc length, and surface area are included in the additional R
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applications of integration. Using multiple integrals, including computing volume and center A
of mass, is covered. The book concludes with an initial treatment of sequences, series, power D Calculus
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series, and Taylor’s series, including techniques of function approximation. A
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Daniel Ashlock
About SYNTHESIS
This volume is a printed version of a work that appears in the Synthesis
Digital Library of Engineering and Computer Science. Synthesis M
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books provide concise, original presentations of important research and R
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development topics, published quickly, in digital and print formats.
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Fast Start Advanced Calculus

Synthesis Lectures on
Mathematics and Statistics
Editor
StevenG.Kranz,WashingtonUniversity,St.Louis
FastStartAdvancedCalculus
DanielAshlock
2019
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Copyright©2019byMorgan&Claypool
Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmittedin
anyformorbyanymeans—electronic,mechanical,photocopy,recording,oranyotherexceptforbriefquotations
inprintedreviews,withoutthepriorpermissionofthepublisher.
FastStartAdvancedCalculus
DanielAshlock
www.morganclaypool.com
ISBN:9781681736563 paperback
ISBN:9781681736570 ebook
ISBN:9781681736587 hardcover
DOI10.2200/S00948ED1V01Y201908MAS030
APublicationintheMorgan&ClaypoolPublishersseries
SYNTHESISLECTURESONMATHEMATICSANDSTATISTICS
Lecture#30
SeriesEditor:StevenG.Kranz,WashingtonUniversity,St.Louis
SeriesISSN
Print1938-1743 Electronic1938-1751
Fast Start Advanced Calculus
Daniel Ashlock
UniversityofGuelph
SYNTHESISLECTURESONMATHEMATICSANDSTATISTICS#30
M
&C Morgan &cLaypool publishers
ABSTRACT
ThisbookcontinuesthematerialintwoearlyFastStartcalculusvolumestoincludemultivari-
atecalculus,sequencesandseries,andavarietyofadditionalapplications.Theseincludepartial
derivativesandtheoptimizationtechniquesthatarisefromthem,includingLagrangemultipli-
ers.Volumesofrotation,arclength,andsurfaceareaareincludedintheadditionalapplications
ofintegration.Usingmultipleintegrals,includingcomputingvolumeandcenterofmass,iscov-
ered.Thebookconcludeswithaninitialtreatmentofsequences,series,powerseries,andTaylor’s
series,includingtechniquesoffunctionapproximation.
KEYWORDS
partial derivatives, multivariate optimization, constrained optimization, volume,
arc-length,surfaceintegrals,multipleintegrams,series,powerseries