| 000 | 04384cam a2200349 i 4500 | ||
|---|---|---|---|
| 001 | 18539357 | ||
| 005 | 20240310115011.0 | ||
| 008 | 150324s2016 caua 001 0 eng | ||
| 010 | _a 2015936919 | ||
| 020 |
_a9781305266735 _q(hardcover) |
||
| 035 | _a(Sirsi) l2015936919 | ||
| 040 |
_aDLC _beng _cDLC _erda _dDLC |
||
| 042 | _apcc | ||
| 082 | 0 | 0 |
_a515 _223 |
| 100 | 1 |
_aStewart, James, _d1941- _e, author _95247 |
|
| 245 | 1 | 0 |
_aMultivariable calculus / _cJames Stewart, McMaster University and University of Toronto. |
| 246 | 3 | 0 | _aCalculus |
| 250 | _aEighth edition, international metric version. | ||
| 264 | 1 |
_aBoston, MA, USA : _bCengage Learning, _c[2016] |
|
| 300 |
_axxiii, pages 679-1222, approximately 30 unnumbered pages : _billustrations (some color); _c27 cm |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_aunmediated _bn _2rdamedia |
||
| 338 |
_avolume _bnc _2rdacarrier |
||
| 500 | _aIncludes index. | ||
| 505 | 0 | _aPreface.To the Student.Diagnostic Tests.A Preview of Calculus.10. 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.Laboratory Project: Families of Polar Curves.Areas and Lengths in Polar Coordinates.Conic Sections.Conic Sections in Polar Coordinates.Review.Problems Plus.11. 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.Representations of Functions as Power Series.Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit.Writing Project: How Newton Discovered the Binomial Series.Applications of Taylor Polynomials.Applied Project: Radiation from the Stars. Review.Problems Plus.12. 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.Review.Problems Plus.13. 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.14. PARTIAL DERIVATIVES.Functions of Several Variables.Limits and Continuity.Partial Derivatives.Tangent Planes and Linear Approximation.Applied Project: The Speedo LZR Race Suit.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.15. Multiple Integrals.Double Integrals over Rectangles.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 Coordinates.Discovery Project: The Intersection of Three Cylinders.Triple Integrals in Spherical Coordinates.Applied Project: Roller Derby.Change of Variables in Multiple Integrals.Review.Problems Plus.16. 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.17. Second-Order Differential Equations.Second-Order Linear Equations.Nonhomogeneous Linear Equations.Applications of Second-Order Differential Equations.Series Solutions.Review.Problems Plus.APPENDIXES.F Proofs of Theorems.G The Logarithm Defined as an Integral.H Complex Numbers.I Answers to Odd-Numbered Exercises.INDEX. | |
| 596 | _a1 3 | ||
| 650 | 0 |
_aCalculus. _9268 |
|
| 650 | 0 |
_aFunctions of several complex variables _95248 |
|
| 856 | 4 | 1 |
_3Table of contents only _uhttps://www.loc.gov/catdir/enhancements/fy1614/2015936919-t.html |
| 856 | 4 | 2 |
_3Contributor biographical information _uhttps://www.loc.gov/catdir/enhancements/fy1614/2015936919-b.html |
| 856 | 4 | 2 |
_3Publisher description _uhttps://www.loc.gov/catdir/enhancements/fy1614/2015936919-d.html |
| 999 |
_c1552 _d1552 |
||