Calculus

ISBN-10: 053439339X
ISBN-13: 9780534393397
Edition: 5th 2003
Authors: James Stewart
List price: $342.95 Buy it from $4.80
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Description: 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  More...

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Book details

List price: $342.95
Edition: 5th
Copyright year: 2003
Publisher: Brooks/Cole
Publication date: 12/24/2002
Binding: Hardcover
Pages: 1368
Size: 8.75" wide x 10.00" long x 1.75" tall
Weight: 6.512
Language: English

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.

Parametric Equations and Polar Coordinates
Curves Defined by Parametric Equations, Laboratory Project: Families of Hypocycloids
Calculus with Parametric Curves, Laboratory Project: Bezier Curves
Polar Coordinates
Areas and Lengths in Polar Coordinates
Conic Sections
Conic Sections in Polar Coordinates
Review
Problems Plus
Infinite Sequences and Series
Sequences, Laboratory Project: Logistic Sequences
Series
The Integral Test and Estimates of Sums
The Comparison Tests
Alternating Series
Absolute Convergence and the Ratio and Root Tests
Strategy for Testing Series
Power Series
Representation of Functions as Power Series
Taylor and Maclaurin Series
Laboratory Project: An Ellusive Limit
The Binomial Series, Writing Project: How Newton Discovered the Binomial Series
Applications of Taylor Polynomials, Applied Project: Radiation from the Stars
Review
Problems Plus
Vectors and the Geometry of Space
Three-Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product, Discovery Project: The Geometry of a Tetrahedron
Equations of Lines and Planes
Cylinders and Quadric Surfaces
Cylindrical and Spherical Coordinates, Laboratory Project: Families of Surfaces
Review
Problems Plus
Vector Functions
Vector Functions and Space Curves
Derivatives and Integrals of Vector Functions
Arc Length and Curvature
Motion in Space: Velocity and Acceleration, Applied Project: Kepler's Laws
Review
Problems Plus
Partial Derivatives
Functions of Several Variables
Limits and Continuity
Partial Derivatives
Tangent Planes and Linear Approximations
The Chain Rule
Directional Derivatives and the Gradient Vector
Maximum and Minimum Values, Applied Project: Designing a Dumpster, Discovery Project: Quadratic Approximations and Critical Points
Lagrange Multipliers, Applied Project: Rocket Science, Applied Project: Hydro-Turbine Optimization
Review
Problems Plus
Multiple Integrals
Double Integrals over Rectangles
Iterated Integrals
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Applications of Double Integrals
Surface Area
Triple Integrals, Discovery Project: Volumes of Hyperspheres
Triple Integrals in Cylindrical and Spherical Coordinates, Applied Project: Roller Derby, Discovery Project: The Intersection of Three Cylinders
Change of Variables in Multiple Integrals
Review
Problems Plus
Vector Calculus
Vector Fields
Line Integrals
The Fundamental Theorem for Line Integrals
Green's Theorem
Curl and Divergence
Parametric Surfaces and Their Areas
Surface Integrals
Stokes' Theorem, Writing Project: Three Men and Two Theorems
The Divergence Theorem
Summary
Review
Problems Plus
Second-Order Differential Equations
Second-Order Linear Equations
Nonhomogeneous Linear Equations
Applications of Second-Order Differential Equations
Series Solutions. Review. Problems Plus
Appendixes
Answers to Odd-Numbered Exercises
Index

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