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Multivariable Calculus Early Transcendentals (with Tools for Enriching Calculus, Video CD-ROM, iLrn™ Homework, and Personal Tutor),9780534417789
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Multivariable Calculus Early Transcendentals (with Tools for Enriching Calculus, Video CD-ROM, iLrn™ Homework, and Personal Tutor)

by
Edition:
5th
ISBN13:

9780534417789

ISBN10:
0534417787
Format:
Hardcover
Pub. Date:
12/26/2002
Publisher(s):
Cengage Learning

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Summary

Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

Table of Contents

Preface xi
Parametric Equations and Polar Coordinates
650(50)
Curves Defined by Parametric Equations
651(9)
Laboratory Project Running Circles around Circles
659(1)
Calculus with Parametric Curves
660(9)
Laboratory Project Bezier Curves
669(1)
Polar Coordinates
669(10)
Areas and Lengths in Polar Coordinates
679(5)
Conic Sections
684(8)
Conic Sections in Polar Coordinates
692(8)
Review
696(3)
Problems Plus
699(1)
Infinite Sequences and Series
700(92)
Sequences
701(12)
Laboratory Project Logistic Sequences
713(1)
Series
713(10)
The Integral Test and Estimates of Sums
723(7)
The Comparison Tests
730(5)
Alternating Series
735(5)
Absolute Convergence and the Ratio and Root Tests
740(7)
Strategy for Testing Series
747(2)
Power Series
749(5)
Representations of Functions as Power Series
754(6)
Taylor and Maclaurin Series
760(12)
Laboratory Project An Elusive Limit
772(1)
The Binomial Series
772(4)
Writing Project How Newton Discovered the Binomial Series
776(1)
Applications of Taylor Polynomials
776(16)
Applied Project Radiation from the Stars
785(1)
Review
786(3)
Problems Plus
789(3)
Vectors and the Geometry of Space
792(56)
Three-Dimensional Coordinate Systems
793(5)
Vectors
798(9)
The Dot Product
807(7)
The Cross Product
814(8)
Discovery Project - The Geometry of a Tetrahedron
822(1)
Equations of Lines and Planes
822(10)
Laboratory Project Putting 3D in Perspective
832(1)
Cylinders and Quadric Surfaces
832(7)
Cylindrical and Spherical Coordinates
839(9)
Laboratory Project Families of Surfaces
844(1)
Review
844(3)
Problems Plus
847(1)
Vector Functions
848(38)
Vector Functions and Space Curves
849(7)
Derivatives and Integrals of Vector Functions
856(6)
Arc Length and Curvature
862(8)
Motion in Space: Velocity and Acceleration
870(16)
Applied Project Kepler's Laws
880(1)
Review
881(3)
Problems Plus
884(2)
Partial Derivatives
886(94)
Functions of Several Variables
887(15)
Limits and Continuity
902(7)
Partial Derivatives
909(14)
Tangent Planes and Linear Approximations
923(8)
The Chain Rule
931(9)
Directional Derivatives and the Gradient Vector
940(13)
Maximum and Minimum Values
953(12)
Applied Project Designing a Dumpster
963(1)
Discovery Project Quadratic Approximations and Critical Points
964(1)
Lagrange Multipliers
965(15)
Applied Project Rocket Science
972(1)
Applied Project Hydro-Turbine Optimization
973(1)
Review
974(4)
Problems Plus
978(2)
Multiple Integrals
980(74)
Double Integrals over Rectangles
981(8)
Iterated Integrals
989(6)
Double Integrals over General Regions
995(8)
Double Integrals in Polar Coordinates
1003(6)
Applications of Double Integrals
1009(10)
Surface Area
1019(4)
Triple Integrals
1023(10)
Discovery Project Volumes of Hyperspheres
1032(1)
Triple Integrals in Cylindrical and Spherical Coordinates
1033(8)
Applied Project - Roller Derby
1039(1)
Discovery Project - The Intersection of Three Cylinders
1040(1)
Change of Variables in Multiple Integrals
1041(13)
Review
1049(3)
Problems Plus
1052(2)
Vector Calculus
1054(86)
Vector Fields
1055(7)
Line Integrals
1062(12)
The Fundamental Theorem for Line Integrals
1074(9)
Green's Theorem
1083(7)
Curl and Divergence
1090(8)
Parametric Surfaces and Their Areas
1098(11)
Surface Integrals
1109(12)
Stokes' Theorem
1121(6)
Writing Project Three Men and Two Theorems
1126(1)
The Divergence Theorem
1127(7)
Summary
1134(6)
Review
1135(3)
Problems Plus
1138(2)
Second-Order Differential Equations
1140(1)
Second-Order Linear Equations
1141(6)
Nonhomogeneous Linear Equations
1147(8)
Applications of Second-Order Differential Equations
1155(8)
Series Solutions
1163(4)
Review
1167
Appendixes
1(42)
F Proofs of Theorems
2(3)
G Complex Numbers
5(8)
H Answers to Odd-Numbered Exercises
13(30)
Index 43


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