Calculus
Subtitle: Early Transcendentals
By: James Stewart, McMaster University and University of Toronto
Edition: Eighth Edition
Publisher: Cengage Learning
Published: 2016
Language: eng
Number of pages: 1368
ISBN-13: 9781285741550; 9781305272354; 9781305270367
Subjects: Calculus; Textbooks
Notes: Includes index.
Table of contents: title: Preface
pagenum: xi; title: To The Student
pagenum: xxiii; title: Calculators, Computers, And Other Graphing Devices
pagenum: xxiv; title: Diagnostic Tests
pagenum: xxvi; title: A Preview Of Calculus
pagenum: 1; label: 1
title: Functions And Models
pagenum: 9; label: 1.1
title: Four Ways To Represent A Function
pagenum: 10; label: 1.2
title: Mathematical Models: A Catalog Of Essential Functions
pagenum: 23; label: 1.3
title: New Functions From Old Functions
pagenum: 36; label: 1.4
title: Exponential Functions
pagenum: 45; label: 1.5
title: Inverse Functions And Logarithms
pagenum: 55; title: Review
pagenum: 68; title: Principles Of Problem Solving
pagenum: 71; label: 2
title: Limits And Derivatives
pagenum: 77; label: 2.1
title: The Tangent And Velocity Problems
pagenum: 78; label: 2.2
title: The Limit Of A Function
pagenum: 83; label: 2.3
title: Calculating Limits Using The Limit Laws
pagenum: 95; label: 2.4
title: The Precise Definition Of A Limit
pagenum: 104; label: 2.5
title: Continuity
pagenum: 114; label: 2.6
title: Limits At Infinity; Horizontal Asymptotes
pagenum: 126; label: 2.7
title: Derivatives And Rates Of Change
pagenum: 140; title: Writing Project · Early Methods For Finding Tangents
pagenum: 152; label: 2.8
title: The Derivative As A Function
pagenum: 152; title: Review
pagenum: 165; title: Problems Plus
pagenum: 169; label: 3
title: Differentiation Rules
pagenum: 171; label: 3.1
title: Derivatives Of Polynomials And Exponential Functions
pagenum: 172; title: Applied Project · Building A Better Roller Coaster
pagenum: 182; label: 3.2
title: The Product And Quotient Rules
pagenum: 183; label: 3.3
title: Derivatives Of Trigonometric Functions
pagenum: 190; label: 3.4
title: The Chain Rule
pagenum: 197; title: Applied Project · Where Should A Pilot Start Descent?
pagenum: 208; label: 3.5
title: Implicit Differentiation
pagenum: 208; title: Laboratory Project · Families Of Implicit Curves
pagenum: 217; label: 3.6
title: Derivatives Of Logarithmic Functions
pagenum: 218; label: 3.7
title: Rates Of Change In The Natural And Social Sciences
pagenum: 224; label: 3.8
title: Exponential Growth And Decay
pagenum: 237; title: Applied Project · Controlling Red Blood Cell Loss During Surgery
pagenum: 244; label: 3.9
title: Related Rates
pagenum: 245; label: 3.10
title: Linear Approximations And Differentials
pagenum: 251; title: Laboratory Project · Taylor Polynomials
pagenum: 258; label: 3.11
title: Hyperbolic Functions
pagenum: 259; title: Review
pagenum: 266; title: Problems Plus
pagenum: 270; label: 4
title: Applications Of Differentiation
pagenum: 275; label: 4.1
title: Maximum And Minimum Values
pagenum: 276; title: Applied Project · The Calculus Of Rainbows
pagenum: 285; label: 4.2
title: The Mean Value Theorem
pagenum: 287; label: 4.3
title: How Derivatives Affect The Shape Of A Graph
pagenum: 293; label: 4.4
title: Indeterminate Forms And l'Hospital's Rule
pagenum: 304; title: Writing Project · The Origins Of l'Hospital's Rule
pagenum: 314; label: 4.5
title: Summary Of Curve Sketching
pagenum: 315; label: 4.6
title: Graphing With Calculus And Calculators
pagenum: 323; label: 4.7
title: Optimization Problems
pagenum: 330; title: Applied Project · The Shape Of A Can
pagenum: 343; title: Applied Project · Planes And Birds: Minimizing Energy
pagenum: 344; label: 4.8
title: Newton's Method
pagenum: 345; label: 4.9
title: Antiderivatives
pagenum: 350; title: Review
pagenum: 358; title: Problems Plus
pagenum: 363; label: 5
title: Integrals
pagenum: 365; label: 5.1
title: Areas and Distances
pagenum: 366; label: 5.2
title: The Definite Integral
pagenum: 378; title: Discovery Project · Area Functions
pagenum: 391; label: 5.3
title: The Fundamental Theorem of Calculus
pagenum: 392; label: 5.4
title: Indefinite Integrals and the Net Change Theorem
pagenum: 402; title: Writing Project · Newton, Leibniz, and the Invention of Calculus
pagenum: 411; label: 5.5
title: The Substitution Rule
pagenum: 412; title: Review
pagenum: 421; title: Problems Plus
pagenum: 425; label: 6
title: Applications of Integration
pagenum: 427; label: 6.1
title: Areas Between Curves
pagenum: 428; title: Applied Project · The Gini Index
pagenum: 436; label: 6.2
title: Volumes
pagenum: 438; label: 6.3
title: Volumes by Cylindrical Shells
pagenum: 449; label: 6.4
title: Work
pagenum: 455; label: 6.5
title: Average Value of a Function
pagenum: 461; title: Applied Project · Calculus and Baseball
pagenum: 464; title: Applied Project · Where to Sit at the Movies
pagenum: 465; title: Review
pagenum: 466; title: Problems Plus
pagenum: 468; label: 7
title: Techniques of Integration
pagenum: 471; label: 7.1
title: Integration by Parts
pagenum: 472; label: 7.2
title: Trigonometric Integrals
pagenum: 479; label: 7.3
title: Trigonometric Substitution
pagenum: 486; label: 7.4
title: Integration of Rational Functions by Partial Fractions
pagenum: 493; label: 7.5
title: Strategy for Integration
pagenum: 503; label: 7.6
title: Integration Using Tables and Computer Algebra Systems
pagenum: 508; title: Discovery Project · Patterns in Integrals
pagenum: 513; label: 7.7
title: Approximate Integration
pagenum: 514; label: 7.8
title: Improper Integrals
pagenum: 527; title: Review
pagenum: 537; title: Problems Plus
pagenum: 540; label: 8
title: Further Applications of Integration
pagenum: 543; label: 8.1
title: Arc Length
pagenum: 544; title: Discovery Project · Arc Length Contest
pagenum: 550; label: 8.2
title: Area of a Surface of Revolution
pagenum: 551; title: Discovery Project · Rotating on a Slant
pagenum: 557; label: 8.3
title: Applications to Physics and Engineering
pagenum: 558; title: Discovery Project · Complementary Coffee Cups
pagenum: 568; label: 8.4
title: Applications to Economics and Biology
pagenum: 569; label: 8.5
title: Probability
pagenum: 573; title: Review
pagenum: 581; title: Problems Plus
pagenum: 583; label: 9
title: Differential Equations
pagenum: 585; label: 9.1
title: Modeling with Differential Equations
pagenum: 586; label: 9.2
title: Direction Fields and Euler's Method
pagenum: 591; label: 9.3
title: Separable Equations
pagenum: 599; title: Applied Project · How Fast Does a Tank Drain?
pagenum: 608; title: Applied Project · Which Is Faster, Going Up or Coming Down?
pagenum: 609; label: 9.4
title: Models for Population Growth
pagenum: 610; label: 9.5
title: Linear Equations
pagenum: 620; label: 9.6
title: Predator-Prey Systems
pagenum: 627; title: Review
pagenum: 634; title: Problems Plus
pagenum: 637; label: 10
title: Parametric Equations and Polar Coordinates
pagenum: 639; label: 10.1
title: Curves Defined by Parametric Equations
pagenum: 640; title: Laboratory Project · Running Circles Around Circles
pagenum: 648; label: 10.2
title: Calculus with Parametric Curves
pagenum: 649; title: Laboratory Project · Bézier Curves
pagenum: 657; label: 10.3
title: Polar Coordinates
pagenum: 658; title: Laboratory Project · Families of Polar Curves
pagenum: 668; label: 10.4
title: Areas and Lengths in Polar Coordinates
pagenum: 669; label: 10.5
title: Conic Sections
pagenum: 674; label: 10.6
title: Conic Sections in Polar Coordinates
pagenum: 682; title: Review
pagenum: 689; title: Problems Plus
pagenum: 692; label: 11
title: Infinite Sequences and Series
pagenum: 693; label: 11.1
title: Sequences
pagenum: 694; title: Laboratory Project · Logistic Sequences
pagenum: 707; label: 11.2
title: Series
pagenum: 707; label: 11.3
title: The Integral Test and Estimates of Sums
pagenum: 719; label: 11.4
title: The Comparison Tests
pagenum: 727; label: 11.5
title: Alternating Series
pagenum: 732; label: 11.6
title: Absolute Convergence and the Ratio and Root Tests
pagenum: 737; label: 11.7
title: Strategy for Testing Series
pagenum: 744; label: 11.8
title: Power Series
pagenum: 746; label: 11.9
title: Representations of Functions as Power Series
pagenum: 752; label: 11.10
title: Taylor and Maclaurin Series
pagenum: 759; title: Laboratory Project · An Elusive Limit
pagenum: 773; title: Writing Project · How Newton Discovered the Binomial Series
pagenum: 773; label: 11.11
title: Applications of Taylor Polynomials
pagenum: 774; title: Applied Project · Radiation from the Stars
pagenum: 783; title: Review
pagenum: 784; title: Problems Plus
pagenum: 787; label: 12
title: Vectors and the Geometry of Space
pagenum: 791; label: 12.1
title: Three-Dimensional Coordinate Systems
pagenum: 792; label: 12.2
title: Vectors
pagenum: 798; label: 12.3
title: The Dot Product
pagenum: 807; label: 12.4
title: The Cross Product
pagenum: 814; title: Discovery Project · The Geometry of a Tetrahedron
pagenum: 823; label: 12.5
title: Equations of Lines and Planes
pagenum: 823; title: Laboratory Project · Putting 3D in Perspective
pagenum: 833; label: 12.6
title: Cylinders and Quadric Surfaces
pagenum: 834; title: Review
pagenum: 841; title: Problems Plus
pagenum: 844; label: 13
title: Vector Functions
pagenum: 847; label: 13.1
title: Vector Functions and Space Curves
pagenum: 848; label: 13.2
title: Derivatives and Integrals of Vector Functions
pagenum: 855; label: 13.3
title: Arc Length and Curvature
pagenum: 861; label: 13.4
title: Motion in Space: Velocity and Acceleration
pagenum: 870; title: Applied Project · Kepler's Laws
pagenum: 880; title: Review
pagenum: 881; title: Problems Plus
pagenum: 884; label: 14
title: Partial Derivatives
pagenum: 887; label: 14.1
title: Functions of Several Variables
pagenum: 888; label: 14.2
title: Limits and Continuity
pagenum: 903; label: 14.3
title: Partial Derivatives
pagenum: 911; label: 14.4
title: Tangent Planes and Linear Approximations
pagenum: 927; title: Applied Project · The Speedo LZR Racer
pagenum: 936; label: 14.5
title: The Chain Rule
pagenum: 937; label: 14.6
title: Directional Derivatives and the Gradient Vector
pagenum: 946; label: 14.7
title: Maximum and Minimum Values
pagenum: 959; title: Applied Project · Designing a Dumpster
pagenum: 970; title: Discovery Project · Quadratic Approximations and Critical Points
pagenum: 970; label: 14.8
title: Lagrange Multipliers
pagenum: 971; title: Applied Project · Rocket Science
pagenum: 979; title: Applied Project · Hydro-Turbine Optimization
pagenum: 980; title: Review
pagenum: 981; title: Problems Plus
pagenum: 985; label: 15
title: Multiple Integrals
pagenum: 987; label: 15.1
title: Double Integrals over Rectangles
pagenum: 988; label: 15.2
title: Double Integrals over General Regions
pagenum: 1001; label: 15.3
title: Double Integrals in Polar Coordinates
pagenum: 1010; label: 15.4
title: Applications of Double Integrals
pagenum: 1016; label: 15.5
title: Surface Area
pagenum: 1026; label: 15.6
title: Triple Integrals
pagenum: 1029; title: Discovery Project · Volumes of Hyperspheres
pagenum: 1040; label: 15.7
title: Triple Integrals in Cylindrical Coordinates
pagenum: 1040; title: Discovery Project · The Intersection of Three Cylinders
pagenum: 1044; label: 15.8
title: Triple Integrals in Spherical Coordinates
pagenum: 1045; title: Applied Project · Roller Derby
pagenum: 1052; label: 15.9
title: Change of Variables in Multiple Integrals
pagenum: 1052; title: Review
pagenum: 1061; title: Problems Plus
pagenum: 1065; label: 16
title: Vector Calculus
pagenum: 1067; label: 16.1
title: Vector Fields
pagenum: 1068; label: 16.2
title: Line Integrals
pagenum: 1075; label: 16.3
title: The Fundamental Theorem for Line Integrals
pagenum: 1087; label: 16.4
title: Green's Theorem
pagenum: 1096; label: 16.5
title: Curl and Divergence
pagenum: 1103; label: 16.6
title: Parametric Surfaces and Their Areas
pagenum: 1111; label: 16.7
title: Surface Integrals
pagenum: 1122; label: 16.8
title: Stokes' Theorem
pagenum: 1134; title: Writing Project · Three Men and Two Theorems
pagenum: 1140; label: 16.9
title: The Divergence Theorem
pagenum: 1141; label: 16.10
title: Summary
pagenum: 1147; title: Review
pagenum: 1148; title: Problems Plus
pagenum: 1151; label: 17
title: Second-Order Differential Equations
pagenum: 1153; label: 17.1
title: Second-Order Linear Equations
pagenum: 1154; label: 17.2
title: Nonhomogeneous Linear Equations
pagenum: 1160; label: 17.3
title: Applications of Second-Order Differential Equations
pagenum: 1168; label: 17.4
title: Series Solutions
pagenum: 1176; title: Review
pagenum: 1181; title: Appendixes
pagenum: A1; label: A
title: Numbers, Inequalities, and Absolute Values
pagenum: A2; label: B
title: Coordinate Geometry and Lines
pagenum: A10; label: C
title: Graphs of Second-Degree Equations
pagenum: A16; label: D
title: Trigonometry
pagenum: A24; label: E
title: Sigma Notation
pagenum: A34; label: F
title: Proofs of Theorems
pagenum: A39; label: G
title: The Logarithm Defined as an Integral
pagenum: A50; label: H
title: Complex Numbers
pagenum: A57; label: I
title: Answers to Odd-Numbered Exercises
pagenum: A65; title: Index
pagenum: A139