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Multivariable Calculus (Fourth Edition) by James Stewart



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Multivariable Calculus (Fourth Edition) written by James Stewart cover the following topics.

  • 8. Infinite Sequence and Series
    8.1 Sequences, Laboratory Project, Logistic Sequences
    8.2 Series 565
    8.3 The Integral and Comparison Tests; Estimating Sums
    8.4 Other Convergence Tests
    8.5 Power Series
    8.6 Representations of Functions as Power Series
    8.7 Taylor and Maclaurin Series, Laboratory Project, An Elusive Limit, Writing Project ¦ How Newton Discovered the Binomial Series
    8.8 Applications of Taylor Polynomials, Applied Project, Radiation from the Stars, Review

  • 9. Vectors and the Geometry of Space
    9.1 Three-Dimensional Coordinate Systems
    9.2 Vectors
    9.3 The Dot Product,
    9.4 The Cross Product, Discovery Project, The Geometry of a Tetrahedron
    9.5 Equations of Lines and Planes, Laboratory Project ¦ Putting 3D in Perspective
    9.6 Functions and Surfaces 673
    9.7 Cylindrical and Spherical Coordinates, Laboratory Project, Families of Surfaces, Review

  • 10. Vector Functions
    10.1 Vector Functions and Space Curves
    10.2 Derivatives and Integrals of Vector Functions
    10.3 Arc Length and Curvature
    10.4 Motion in Space: Velocity and Acceleration, Applied Project, Kepler’s Laws
    10.5 Parametric Surfaces, Review

  • 11. Partial Derivatives
    11.1 Functions of Several Variables
    11.2 Limits and Continuity
    11.3 Partial Derivatives
    11.4 Tangent Planes and Linear Approximations
    11.5 The Chain Rule
    11.6 Directional Derivatives and the Gradient Vector
    11.7 Maximum and Minimum Values, Applied Project ¦ Designing a Dumpster, Discovery Project, Quadratic Approximations and Critical Points
    11.8 Lagrange Multipliers, Applied Project ¦ Rocket Science, Applied Project, Hydro-Turbine Optimization
    Review

  • 12. Multiple Integrals
    12.1 Double Integrals over Rectangles
    12.2 Iterated Integrals
    12.3 Double Integrals over General Regions
    12.4 Double Integrals in Polar Coordinates
    12.5 Applications of Double Integrals
    12.6 Surface Area,
    12.7 Triple Integrals, Discovery Project, Volumes of Hyperspheres
    12.8 Triple Integrals in Cylindrical and Spherical Coordinates, Applied Project, Roller Derby, Discovery Project, The Intersection of Three Cylinders
    12 Multiple Integrals
    12.9 Change of Variables in Multiple Integrals
    Review 899

  • 13. Vector Calculus
    13.1 Vector Fields
    13.2 Line Integrals
    13.3 The Fundamental Theorem for Line Integrals
    13.4 Green’s Theorem
    13.5 Curl and Divergence
    13.6 Surface Integrals, Stokes’ Theorem, Writing Project
    13.7 Three Men and Two Theorems
    13.8 The Divergence Theorem
    13.9 Summary
    Review

  • Appendex
    D Precise Definitions of Limits
    E A Few Proofs
    H Polar Coordinates
    I Complex Numbers
    J Answers to Odd-Numbered Exercises
    Index
    Appendixes

  • Start Now
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