Multivariable Calculus Concepts and Contexts (with Tools for Enriching Calculus, Interactive Video Skillbuilder CD-ROM, and iLrn Homework/Personal Tutor)

by Stewart, James

• ISBN13: 9780534410049
• ISBN10: 0534410049
• Additional ISBN(s): 9780495560548, 9780534434571
• Edition: 3rd
• Format: Hardcover
• Copyright: 2004-11-04
• Publisher: Brooks Cole
• More Book Details
• Purchase Benefits

Summary

Stewart's MULTIVARIABLE CALCULUS: CONCEPTS AND CONTEXTS focuses on major concepts and supports them with precise definitions, patient explanations, and carefully graded problems. Margin notes clarify and expand on topics presented in the main body of the text. The Tools for Enriching Calculus CD-ROM contains visualizations, interactive modules, and homework hints that enrich your learning experience. iLrn Homework helps you identify where you need additional help, and vMentor gives you live, one-on-one online help from an experienced calculus tutor. In addition, the Interactive Video Skillbuilder CD-ROM takes you step-by-step through examples from the book.

Table of Contents

Infinite Sequences and Series

Sequences

Series

The Integral and Comparison Tests; Estimating Sums

Other Convergence Tests

Power Series

Representation of Functions as Power Series

Taylor and Maclaurin Series

The Binomial Series

Applications of Taylor Polynomials

Review

Focus on Problem Solving

Vectors and the Geometry of Space

Three Dimensional Coordinate Systems

Vectors

The Dot Product

The Cross Product

Equations of Lines and Planes

Functions and Surfaces

Cylindrical and Spherical Coordinates

Review

Focus on Problem Solving

Vector Functions

Vector Functions and Space Curves

Derivatives and Integrals of Vector Functions

Arc Length and Curvature

Motion in Space

Parametric Surfaces

Review

Focus on Problem Solving

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

Lagrange Multipliers

Review

Focus on Problem Solving

Multiple Integrals

Double Integrals over Rectangles

Interated Integrals

Double Integrals over General Regions

Double Integrals in Polar Coordinates

Applications of Double Integrals

Surface Area

Triple Integrals

Triple Integrals in Cylindrical and Spherical Coordinates

Change of Variables in Multiple Integrals

Review

Focus on Problem Solving

Vector Calculus

Vector Fields

Line Integrals

The Fundamental Theorem for Line Integrals

Green's Theorem

Curl and Divergence

Surface Integrals

Stokes' Theorem

The Divergence Theorem

Summary

Review

Focus on Problem Solving

Intervals, Inequalities, And Absolute Values

Coordinate Geometry

Trigonometry

Precise Definitions Of Limits

A Few Proofs

Sigma Notation

Integration Of Rational Functions By Partial Fractions

Polar Coordinates

Complex Numbers

Answers To Odd-Numbered Exercises

Index.

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