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Multivariable Calculus : Concepts and Contexts,9780534393571
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Multivariable Calculus : Concepts and Contexts

by
Edition:
5th
ISBN13:

9780534393571

ISBN10:
0534393578
Format:
Paperback
Pub. Date:
12/26/2002
Publisher(s):
Brooks Cole
List Price: $185.66

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This is the 5th edition with a publication date of 12/26/2002.
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Summary

Stewart's CALCULUS, Fifth Edition has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. Stewart retains the focus on problem solving and the pedagogical system that has made the book a favorite of students and instructors in a wide variety of colleges and universities throughout the world. In this Fifth Edition, he has made hundreds of small improvements: new examples, additional steps in existing examples, updating of data in existing examples and exercises, new phrases and margin notes to clarify the exposition, references to other sources and web sites, redrawn art, and references to the TEC CD (Tools for Enriching Calculus). These refinements ensure that students and instructors have the best materials available. The number of pages in the book, however, remains unchanged from the 4th edition. Further support for students and instructors is now available through a vast array of supplementary material.

Table of Contents

Preface vii
Parametric Equations and Polar Coordinates
686(50)
Curves Defined by Parametric Equations
687(9)
Laboratory Project Running Circles around Circles
695(1)
Calculus with Parametric Curves
696(9)
Laboratory Project Bezier Curves
705(1)
Polar Coordinates
705(10)
Areas and Lengths in Polar Coordinates
715(5)
Conic Sections
720(8)
Conic Sections in Polar Coordinates
728(8)
Review
732(3)
Problems Plus
735(1)
Infinite Sequences and Series
736(92)
Sequences
737(12)
Laboratory Project Logistic Sequences
749(1)
Series
749(10)
The Integral Test and Estimates of Sums
759(7)
The Comparison Tests
766(5)
Alternating Series
771(5)
Absolute Convergence and the Ratio and Root Tests
776(7)
Strategy for Testing Series
783(2)
Power Series
785(5)
Representations of Functions as Power Series
790(6)
Taylor and Maclaurin Series
796(12)
Laboratory Project An Elusive Limit
808(1)
The Binomial Series
808(4)
Writing Project How Newton Discovered the Binomial Series
812(1)
Applications of Taylor Polynomials
812(16)
Applied Project Radiation from the Stars
875
Review
822(3)
Problems Plus
825(3)
Vectors and the Geometry of Space
828(56)
Three-Dimensional Coordinate Systems
829(5)
Vectors
834(9)
The Dot Product
843(7)
The Cross Product
850(8)
Discovery Project The Geometry of a Tetrahedron
858(1)
Equations of Lines and Planes
858(10)
Laboratory Project Putting 3D in Perspective
868(1)
Cylinders and Quadric Surfaces
868(7)
Cylindrical and Spherical Coordinates
875(9)
Laboratory Project Families of Surfaces
880(1)
Review
880(3)
Problems Plus
883(1)
Vector Functions
884(38)
Vector Functions and Space Curves
885(7)
Derivatives and Integrals of Vector Functions
892(6)
Arc Length and Curvature
898(8)
Motion in Space: Velocity and Acceleration
906(16)
Applied Project Kepler's Laws
916(1)
Review
917(3)
Problems Plus
920(2)
Partial Derivatives
922(94)
Functions of Several Variables
923(15)
Limits and Continuity
938(7)
Partial Derivatives
945(14)
Tangent Planes and Linear Approximations
959(8)
The Chain Rule
967(9)
Directional Derivatives and the Gradient Vector
976(13)
Maximum and Minimum Values
989(12)
Applied Project Designing a Dumpster
999(1)
Discovery Project Quadratic Approximations and Critical Points
1000(1)
Lagrange Multipliers
1001(15)
Applied Project Rocket Science
1008(1)
Applied Project Hydro-Turbine Optimization
1009(1)
Review
1010(4)
Problems Plus
1014(2)
Multiple Integrals
1016(74)
Double Integrals over Rectangles
1017(8)
Iterated Integrals
1025(6)
Double Integrals over General Regions
1031(8)
Double Integrals in Polar Coordinates
1039(6)
Applications of Double Integrals
1045(10)
Surface Area
1055(4)
Triple Integrals
1059(10)
Discovery Project Volumes of Hyperspheres
1068(1)
Triple Integrals in Cylindrical and Spherical Coordinates
1069(8)
Applied Project Roller Derby
1075(1)
Discovery Project The Intersection of Three Cylinders
1076(1)
Change of Variables in Multiple Integrals
1077(13)
Review
1085(3)
Problems Plus
1088(2)
Vector Calculus
1090(86)
Vector Fields
1091(7)
Line Integrals
1098(12)
The Fundamental Theorem for Line Integrals
1110(9)
Green's Theorem
1119(7)
Curl and Divergence
1126(8)
Parametric Surfaces and Their Areas
1134(11)
Surface Integrals
1145(12)
Stokes' Theorem
1157(6)
Writing Project Three Men and Two Theorems
1162(1)
The Divergence Theorem
1163(7)
Summary
1170(6)
Review
1171(3)
Problems Plus
1174(2)
Second-Order Differential Equations
1176(1)
Second-Order Linear Equations
1177(6)
Nonhomogeneous Linear Equations
1183(8)
Applications of Second-Order Differential Equations
1191(8)
Series Solutions
1199(4)
Review
1203
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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