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    Multivariable Calculus Concepts and Contexts

    ISBN-10: 0534393578
    ISBN-13: 9780534393571
    Author(s): James Stewart
    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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    List Price: $136.95
    Edition: 5th
    Publisher: Brooks/Cole
    Binding: Hardcover
    Pages: 630
    Size: 8.50" wide x 9.75" long x 1.00" tall
    Weight: 3.344
    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.

    James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning?Brooks/Cole, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

    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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