Multivariable Calculus
Publisher: Cengage Learning
Published: 2020
Language: eng
Number of pages: 1408
ISBN-13: 9780357042922
Table of contents: title: Preface
pagenum: vii; title: Technology in the Ninth Edition
pagenum: xvi; title: To the Student
pagenum: xvii; label: 10
title: Parametric Equations and Polar Coordinates
pagenum: 661; label: 10.1
title: Curves Defined by Parametric Equations
pagenum: 662; title: Discovery Project: Running Circles Around Circles
pagenum: 672; label: 10.2
title: Calculus with Parametric Curves
pagenum: 673; title: Discovery Project: Bézier Curves
pagenum: 684; label: 10.3
title: Polar Coordinates
pagenum: 684; title: Discovery Project: Families of Polar Curves
pagenum: 694; label: 10.4
title: Calculus in Polar Coordinates
pagenum: 694; label: 10.5
title: Conic Sections
pagenum: 702; label: 10.6
title: Conic Sections in Polar Coordinates
pagenum: 711; title: Review
pagenum: 719; title: Problems Plus
pagenum: 722; label: 11
title: Sequences, Series, and Power Series
pagenum: 723; label: 11.1
title: Sequences
pagenum: 724; title: Discovery Project: Logistic Sequences
pagenum: 738; label: 11.2
title: Series
pagenum: 738; label: 11.3
title: The Integral Test and Estimates of Sums
pagenum: 751; label: 11.4
title: The Comparison Tests
pagenum: 760; label: 11.5
title: Alternating Series and Absolute Convergence
pagenum: 765; label: 11.6
title: The Ratio and Root Tests
pagenum: 774; label: 11.7
title: Strategy for Testing Series
pagenum: 779; label: 11.8
title: Power Series
pagenum: 781; label: 11.9
title: Representations of Functions as Power Series
pagenum: 787; label: 11.10
title: Taylor and Maclaurin Series
pagenum: 795; title: Discovery Project: An Elusive Limit
pagenum: 810; label: 11.10
title: Writing Project: How Newton Discovered the Binomial Series
pagenum: 811; label: 11.11
title: Applications of Taylor Polynomials
pagenum: 811; title: Applied Project: Radiation from the Stars
pagenum: 820; title: Review
pagenum: 821; title: Problems Plus
pagenum: 825; label: 12
title: Vectors and the Geometry of Space
pagenum: 829; label: 12.1
title: Three-Dimensional Coordinate Systems
pagenum: 830; label: 12.2
title: Vectors
pagenum: 836; title: Discovery Project: The Shape of a Hanging Chain
pagenum: 846; label: 12.3
title: The Dot Product
pagenum: 847; label: 12.4
title: The Cross Product
pagenum: 855; title: Discovery Project: The Geometry of a Tetrahedron
pagenum: 864; label: 12.5
title: Equations of Lines and Planes
pagenum: 864; title: Discovery Project: Putting 3D in Perspective
pagenum: 874; label: 12.6
title: Cylinders and Quadric Surfaces
pagenum: 875; title: Review
pagenum: 883; title: Problems Plus
pagenum: 887; label: 13
title: Vector Functions
pagenum: 889; label: 13.1
title: Vector Functions and Space Curves
pagenum: 890; label: 13.2
title: Derivatives and Integrals of Vector Functions
pagenum: 898; label: 13.3
title: Arc Length and Curvature
pagenum: 904; label: 13.4
title: Motion in Space: Velocity and Acceleration
pagenum: 916; title: Applied Project: Kepler's Laws
pagenum: 925; title: Review
pagenum: 927; title: Problems Plus
pagenum: 930; label: 14
title: Partial Derivatives
pagenum: 933; label: 14.1
title: Functions of Several Variables
pagenum: 934; label: 14.2
title: Limits and Continuity
pagenum: 951; label: 14.3
title: Partial Derivatives
pagenum: 961; title: Discovery Project: Deriving the Cobb-Douglas Production Function
pagenum: 973; label: 14.4
title: Tangent Planes and Linear Approximations
pagenum: 974; title: Applied Project: The Speedo LZR Racer
pagenum: 984; label: 14.5
title: The Chain Rule
pagenum: 985; label: 14.6
title: Directional Derivatives and the Gradient Vector
pagenum: 994; label: 14.7
title: Maximum and Minimum Values
pagenum: 1008; title: Discovery Project: Quadratic Approximations and Critical Points
pagenum: 1019; label: 14.8
title: Lagrange Multipliers
pagenum: 1020; title: Applied Project: Rocket Science
pagenum: 1028; title: Applied Project: Hydro-Turbine Optimization
pagenum: 1030; title: Review
pagenum: 1031; title: Problems Plus
pagenum: 1035; label: 15
title: Multiple Integrals
pagenum: 1037; label: 15.1
title: Double Integrals over Rectangles
pagenum: 1038; label: 15.2
title: Double Integrals over General Regions
pagenum: 1051; label: 15.3
title: Double Integrals in Polar Coordinates
pagenum: 1062; label: 15.4
title: Applications of Double Integrals
pagenum: 1069; label: 15.5
title: Surface Area
pagenum: 1079; label: 15.6
title: Triple Integrals
pagenum: 1082; title: Discovery Project: Volumes of Hyperspheres
pagenum: 1095; label: 15.7
title: Triple Integrals in Cylindrical Coordinates
pagenum: 1095; title: Discovery Project: The Intersection of Three Cylinders
pagenum: 1101; label: 15.8
title: Triple Integrals in Spherical Coordinates
pagenum: 1102; title: Applied Project: Roller Derby
pagenum: 1108; label: 15.9
title: Change of Variables in Multiple Integrals
pagenum: 1109; title: Review
pagenum: 1117; title: Problems Plus
pagenum: 1121; label: 16
title: Vector Calculus
pagenum: 1123; label: 16.1
title: Vector Fields
pagenum: 1124; label: 16.2
title: Line Integrals
pagenum: 1131; label: 16.3
title: The Fundamental Theorem for Line Integrals
pagenum: 1144; label: 16.4
title: Green's Theorem
pagenum: 1154; label: 16.5
title: Curl and Divergence
pagenum: 1161; label: 16.6
title: Parametric Surfaces and Their Areas
pagenum: 1170; label: 16.7
title: Surface Integrals
pagenum: 1182; label: 16.8
title: Stokes' Theorem
pagenum: 1195; label: 16.9
title: The Divergence Theorem
pagenum: 1201; label: 16.10
title: Summary
pagenum: 1208; title: Review
pagenum: 1209; title: Problems Plus
pagenum: 1213; title: Appendixes; label: F
title: Proofs of Theorems
pagenum: A1; label: G
title: Answers to Odd-Numbered Exercises
pagenum: A5; title: Index
pagenum: A39