Multivariable Calculus

by ; ;
  • ISBN13:


  • ISBN10:


  • Edition: 8th
  • Format: Hardcover
  • Copyright: 1/24/2005
  • Publisher: Brooks Cole
  • View Upgraded Edition
  • Get Rewarded for Ordering Your Textbooks! Enroll Now
  • eCampus.com Device Compatibility Matrix

    Click the device icon to install or view instructions

    Apple iOS | iPad, iPhone, iPod
    Android Devices | Android Tables & Phones OS 2.2 or higher | *Kindle Fire
    Windows 8 / 7 / Vista / XP
    Mac OS X | **iMac / Macbook
    Enjoy offline reading with these devices
    Apple Devices
    Android Devices
    Windows Devices
    Mac Devices
    iPad, iPhone, iPod
    Our reader is compatible
    Android 2.2 +
    Our reader is compatible
    Kindle Fire
    Our reader is compatible
    8 / 7 / Vista / XP
    Our reader is compatible
    Our reader is compatible

Supplemental Materials

What is included with this book?

  • The bShowEBook copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.


Designed specifically for the Calculus III course, Multivariable Calculus, 8/e, contains chapters 10 through 14 of the full Calculus, 8/e, text. The text continues to offer instructors and students new and innovative teaching and learning resources. The Calculus series was the first to use computer-generated graphics, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer a two-semester Calculus I with Precalculus text. Every edition of the series has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Eighth Edition is the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. The Eighth Edition continues to provide an evolving range of conceptual, technological, and creative tools that enable instructors to teach the way they want to teach and students to learn they way they learn best.

Table of Contents

Vectors and the Geometry of Space
Vectors in the Plane
Space Coordinates and Vectors in Space
The Dot Product of Two Vectors
The Cross Product of Two Vectors in Space
Lines and Planes in Space Section Project: Distances in Space
Surfaces in Space
Cylindrical and Spherical Coordinates
Vector-Valued Functions
Vector-Valued Functions Section Project: Witch of Agnesi
Differentiation and Integration of Vector-Valued Functions
Velocity and Acceleration
Tangent Vectors and Normal Vectors
Arc Length and Curvature
Functions of Several Variables
Introduction to Functions of Several Variables
Limits and Continuity
Partial Derivatives Section Project: Moireacute; Fringes
Chain Rules for Functions of Several Variables
Directional Derivatives and Gradients
Tangent Planes and Normal Lines Section Project: Wildflowers
Extrema of Functions of Two Variables
Applications of Extrema of Functions of Two Variables Section Project: Building a Pipeline
Lagrange Multipliers
Multiple Integration
Iterated Integrals and Area in the Plane
Double Integrals and Volume
Change of Variables: Polar Coordinates
Center of Mass and Moments of Inertia Section Project: Center of Pressure on a Sail
Surface Area Section Project: Capillary Action
Triple Integrals and Applications
Triple Integrals in Cylindrical and Spherical Coordinates Section Project: Wrinkled and Bumpy Spheres
Change of Variables: Jacobians
Vector Analysis
Vector Fields
Line Integrals
Conservative Vector Fields and Independence of Path
Green's Theorem Section Project: Hyperbolic and Trigonometric Functions
Parametric Surfaces
Surface Integrals Section Project: Hyperboloid of One Sheet
Divergence Theorem
Stokes's Theorem Section Project: The Planimeter
Proofs of Selected Theorems
Integration Tables
Additional Topics in Differential Equations (Web only)
Precalculus Review (Web only)
Rotation and the General Second-Degree Equation (Web only)
Complex Numbers (Web only)
Business and Economic Applications (Web only)
Table of Contents provided by Publisher. All Rights Reserved.

Rewards Program

Write a Review