Multivariable calculus / James Stewart

Author:: Stewart, James, 1941-
Additional Titles:: Calculus
Published:: Belmont, CA : Brooks/Cole Cengage Learning, [2012]
Copyright Date:: ©2012
Edition:: 7th ed.
Physical Description:: xiv, 659-1,194, 50 pages : illustrations (some color) ; 27 cm

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Contents:

Machine generated contents note: 10.Parametric Equations and Polar Coordinates -- 10.1.Curves Defined by Parametric Equations -- Laboratory Project Running Circles around Circles -- 10.2.Calculus with Parametric Curves -- Laboratory Project Bezier Curves -- 10.3.Polar Coordinates -- Laboratory Project Families of Polar Curves -- 10.4.Areas and Lengths in Polar Coordinates -- 10.5.Conic Sections -- 10.6.Conic Sections in Polar Coordinates -- Review -- Problems Plus -- 11.Infinite Sequences and Series -- 11.1.Sequences -- Laboratory Project Logistic Sequences -- 11.2.Series -- 11.3.The Integral Test and Estimates of Sums -- 11.4.The Comparison Tests -- 11.5.Alternating Series -- 11.6.Aosolute Convergence and the Ratio and Root Tests -- 11.7.Strategy for Testing Series -- 11.8.Power Series -- 11.9.Representations of Functions as Power Series -- 11.10.Taylor and Maclaurin Series -- Laboratory Project An Elusive Limit -- Writing Project How Newton Discovered the Binomial Series -- 11.11.Applications of Taylor Polynomials -- Applied Project Radiation from the Stars -- Review -- Problems Plus -- 12.Vectors and the Geometry of Space -- 12.1.Three-Dimensional Coordinate Systems -- 12.2.Vectors -- 12.3.The Dot Product -- 12.4.The Cross Product -- Discovery Project The Geometry of a Tetrahedron -- 12.5.Equations of Lines and Planes -- Laboratory Project Putting 3D in Perspective -- 12.6.Cylinders and Quadric Surfaces -- Review -- Problems Plus -- 13.Vector Functions -- 13.1.Vector Functions and Space Curves -- 13.2.Derivatives and Integrals of Vector Functions -- 13.3.Arc Length and Curvature -- 13.4.Motion in Space: Velocity and Acceleration -- Applied Project Kepler's Laws -- Review -- Problems Plus -- 14.Partial Derivatives -- 14.1.Functions of Several Variables -- 14.2.Limits and Continuity -- 14.3.Partial Derivatives -- 14.4.Tangent Planes and Linear Approximations -- 14.5.The Chain Rule -- 14.6.Directional Derivatives and the Gradient Vector -- 14.7.Maximum and Minimum Values -- Applied Project Designing a Dumpster -- Discovery Project Quadratic Approximations and Critical Points -- 14.8.Lagrange Multipliers -- Applied Project Rocket Science -- Applied Project Hydro-Turbine Optimization -- Review -- Problems Plus -- 15.Multiple Integrals -- 15.1.Double Integrals over Rectangles -- 15.2.Iterated Integrals -- 15.3.Double Integrals over General Regions -- 15.4.Double Integrals in Polar Coordinates -- 15.5.Applications of Double Integrals -- 15.6.Surface Area -- 15.7.Triple Integrals -- Discovery Project Volumes of Hyperspheres -- 15.8.Triple Integrals in Cylindrical Coordinates -- Discovery Project The Intersection of Three Cylinders -- 15.9.Triple Integrals in Spherical Coordinates -- Applied Project Roller Derby -- 15.10.Change of Variables in Multiple Integrals -- Review -- Problems Plus -- 16.Vector Calculus -- 16.1.Vector Fields -- 16.2.Line Integrals -- 16.3.The Fundamental Theorem for Line Integrals -- 16.4.Green's Theorem -- 16.5.Curl and Divergence -- 16.6.Parametric Surfaces and Their Areas -- 16.7.Surface Integrals -- 16.8.Stokes' Theorem -- Writing Project Three Men and Two Theorems -- 16.9.The Divergence Theorem -- 16.10.Summary -- Review -- Problems Plus -- 17.Second-Order Differential Equations -- 17.1.Second-Order Linear Equations -- 17.2.Nonhomogeneous Linear Equations -- 17.3.Applications of Second-Order Differential Equations -- 17.4.Series Solutions -- Review -- Appendixes -- F.Proofs of Theorems -- G.Complex Numbers -- H.Answers to Odd-Numbered Exercises.

Subject(s):

Calculus

ISBN:

9780538497879
0538497874
9780538498869
0538498862

Note:

Includes index.

Source of Acquisition:

UP-PAT copy: Purchased with funds from the Paterno Libraries Endowment Fund; 20112.
Engineering copy: Purchased with funds from the J. Harvey Fahnestock Endowment for Scientific, Engineering and Rare Books; 2011.

Endowment Note:

Paterno Libraries Endowment

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