Calculus Early Transcendentals Multivariable – Jon Rogawski – 2nd Edition

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  • Chapter 10: Infinite Series
    10.1 Sequences
    10.2 Summing an Infinite Series
    10.3 Convergence of Series with Positive Terms
    10.4 Absolute and Conditional Convergence
    10.5 The Ratio and Root Tests
    10.6 Power Series
    10.7 Taylor Series
    Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections
    11.1 Parametric Equations
    11.2 Arc Length and Speed
    11.3 Polar Coordinates
    11.4 Area and Arc Length in Polar Coordinates
    11.5 Conic Sections

    Chapter 12: Vector Geometry
    12.1 Vectors in the Plane
    12.2 Vectors in Three Dimensions
    12.3 Dot Product and the Angle Between Two Vectors
    12.4 The Cross Product
    12.5 Planes in Three-Space
    12.6 A Survey of Quadric Surfaces
    12.7 Cylindrical and Spherical Coordinates

    Chapter 13: Calculus of Vector-Valued Functions
    13.1 Vector-Valued Functions
    13.2 Calculus of Vector-Valued Functions
    13.3 Arc Length and Speed
    13.4 Curvature
    13.5 Motion in Three-Space
    13.6 Planetary Motion According to Kepler and Newton

    Chapter 14: Differentiation in Several Variables
    14.1 Functions of Two or More Variables
    14.2 Limits and Continuity in Several Variables
    14.3 Partial Derivatives
    14.4 Differentiability and Tangent Planes
    14.5 The Gradient and Directional Derivatives
    14.6 The Chain Rule
    14.7 Optimization in Several Variables
    14.8 Lagrange Multipliers: Optimizing with a Constraint

    Chapter 15: Multiple Integration
    15.1 Integration in Variables
    15.2 Double Integrals over More General Regions
    15.3 Triple Integrals
    15.4 Integration in Polar, Cylindrical, and Spherical Coordinates
    15.5 Applications of Multiplying Integrals
    15.6 Change of Variables

    Chapter 16: Line and Surface Integrals
    16.1 Vector Fields
    16.2 Line Integrals
    16.3 Conservative Vector Fields
    16.4 Parametrized Surfaces and Surface Integrals
    16.5 Surface Integrals of Vector Fields

    Chapter 17: Fundamental Theorems of Vector Analysis
    17.1 Green’s Theorem
    17.2 Stokes’ Theorem
    17.3 Divergence Theorem

    Appendices
    A. The Language of Mathematics
    B. Properties of Real Numbers
    C. Mathematical Induction and the Binomial Theorem
    D. Additional Proofs of Theorems
    E. Taylor Polynomials

    Answers to Odd-Numbered Exercises
    References
    Photo Credits
    Index
  • Citation

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